Ifigenia - User contributions [en]

Notes on Intuitionistic Fuzzy Sets/Contents

2026-05-20T09:33:25Z

Vassia Atanassova: Number 2

{{:Notes on Intuitionistic Fuzzy Sets/header}}

{| width="100%" class="wikitable" style="text-align:left; font-size:95%; "
! width="16%" | Volume
! width="54%" colspan="6" | Numbers per volume
! width="30%" | Proceedings of

|-
! [[Notes on Intuitionistic Fuzzy Sets/32|Volume 32 (2026)]]
| [[Notes on Intuitionistic Fuzzy Sets/32/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/32/2|Number 2]] ||  ||  || || ||

|-
! [[Notes on Intuitionistic Fuzzy Sets/31|Volume 31 (2025)]]
| [[Notes on Intuitionistic Fuzzy Sets/31/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/31/2|Number 2]] ||[[Notes on Intuitionistic Fuzzy Sets/31/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/31/4|Number 4]] *,** || || ||
<nowiki>*</nowiki> 28th [[ICIFS-2025|ICIFS]], Sofia, Bulgaria ** Selected papers from [[IWIFS-2025]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/30|Volume 30 (2024)]]
| [[Notes on Intuitionistic Fuzzy Sets/30/1|Number 1]] * || [[Notes on Intuitionistic Fuzzy Sets/30/2|Number 2]] * || [[Notes on Intuitionistic Fuzzy Sets/30/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/30/4|Number 4]] ** || || || <nowiki>*</nowiki> 27th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Burgas, Bulgaria ** Selected papers from [[IWIFS 2024]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/29|Volume 29 (2023)]]
| [[Notes on Intuitionistic Fuzzy Sets/29/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/29/2|Number 2]] * || [[Notes on Intuitionistic Fuzzy Sets/29/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/29/4|Number 4]] ** || || || <nowiki>*</nowiki> 26th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria <nowiki>**</nowiki> Incl. selected papers from [[International Workshop on Intuitionistic Fuzzy Sets|IWIFS]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/28|Volume 28 (2022)]]
| [[Notes on Intuitionistic Fuzzy Sets/28/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/28/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/28/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/28/4|Number 4]] || || || <nowiki>*</nowiki> 25th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria 

|-
! [[Notes on Intuitionistic Fuzzy Sets/27|Volume 27 (2021)]]
| [[Notes on Intuitionistic Fuzzy Sets/27/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/27/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/27/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/27/4|Number 4]] || || ||

|-
! [[Notes on Intuitionistic Fuzzy Sets/26|Volume 26 (2020)]]
| [[Notes on Intuitionistic Fuzzy Sets/26/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/26/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/26/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/26/4|Number 4]] || || || <nowiki>*</nowiki> Selected papers from 24th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]]

|-
! [[Notes on Intuitionistic Fuzzy Sets/25|Volume 25 (2019)]]
| [[Notes on Intuitionistic Fuzzy Sets/25/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/25/2|Number 2]] * || [[Notes on Intuitionistic Fuzzy Sets/25/3|Number 3]] ** || [[Notes on Intuitionistic Fuzzy Sets/25/4|Number 4]] *** || || ||
<nowiki>*</nowiki> 23rd [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria ** Selected papers from [[International Conference on IFS and Contemporary Mathematics|6th IFSCOM]], Mersin, Turkey *** Selected papers from [[International Workshop on Intuitionistic Fuzzy Sets|15th IWIFS]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/24|Volume 24 (2018)]]
| [[Notes on Intuitionistic Fuzzy Sets/24/1|Number 1]]* || [[Notes on Intuitionistic Fuzzy Sets/24/2|Number 2]]** || [[Notes on Intuitionistic Fuzzy Sets/24/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/24/4|Number 4]] || || || * ICIFSS'2018, Erode, India ** 22st [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria 

|-
! [[Notes on Intuitionistic Fuzzy Sets/23|Volume 23 (2017)]]
| [[Notes on Intuitionistic Fuzzy Sets/23/1|Number 1]]* || [[Notes on Intuitionistic Fuzzy Sets/23/2|Number 2]]** || [[Notes on Intuitionistic Fuzzy Sets/23/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/23/4|Number 4]] || [[Notes on Intuitionistic Fuzzy Sets/23/5|Number 5]]
| colspan="1" |
| * 4th [[International Conference on IFS and Contemporary Mathematics|IFSCOM]], Mersin, Turkey ** 21st [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Burgas, Bulgaria 

|-
! [[Notes on Intuitionistic Fuzzy Sets/22|Volume 22 (2016)]]
| [[Notes on Intuitionistic Fuzzy Sets/22/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/22/2|Number 2]]* || [[Notes on Intuitionistic Fuzzy Sets/22/3|Number 3]]** || [[Notes on Intuitionistic Fuzzy Sets/22/4|Number 4]]***|| [[Notes on Intuitionistic Fuzzy Sets/22/5|Number 5]]
| colspan="1" |
| * 1st [[International Conference on Intuitionistic Fuzzy Sets: Theory and Applications|ICIFSTA]], Beni Mellal, Morocco ** 20th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria *** 3rd [[International IFS Conference|IIFSC]], Mersin, Turkey 

|-
! [[Notes on Intuitionistic Fuzzy Sets/21|Volume 21 (2015)]]
| [[Notes on Intuitionistic Fuzzy Sets/21/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/21/2|Number 2]]* || [[Notes on Intuitionistic Fuzzy Sets/21/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/21/4|Number 4]]** || [[Notes on Intuitionistic Fuzzy Sets/21/5|Number 5]]*** ||
| *19th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Burgas, Bulgaria ** 2nd [[International IFS Conference|IIFSC]], Mersin, Turkey ***11th [[International Workshop on Intuitionistic Fuzzy Sets|IWIFS]], Banská Bystrica, Slovakia 

|-
! [[Notes on Intuitionistic Fuzzy Sets/20|Volume 20 (2014)]]
| [[Notes on Intuitionistic Fuzzy Sets/20/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/20/2|Number 2]]* || [[Notes on Intuitionistic Fuzzy Sets/20/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/20/4|Number 4]]** || [[Notes on Intuitionistic Fuzzy Sets/20/5|Number 5]]*** || || *18th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria ** 10th [[International Workshop on Intuitionistic Fuzzy Sets|IWIFS]], Banská Bystrica, Slovakia *** 1st [[International Intuitionistic Fuzzy Conference|IIFC]], Mersin, Turkey

|-
! [[Notes on Intuitionistic Fuzzy Sets/19|Volume 19 (2013)]]
| [[Notes on Intuitionistic Fuzzy Sets/19/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/19/2|Number 2]]** || [[Notes on Intuitionistic Fuzzy Sets/19/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/19/4|Number 4]] || || || * 17th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria ** 9th [[International Workshop on Intuitionistic Fuzzy Sets|IWIFS]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/18|Volume 18 (2012)]]
| [[Notes on Intuitionistic Fuzzy Sets/18/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/18/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/18/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/18/4|Number 4]] ** || ||
| * 16th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria ** 8th [[International Workshop on Intuitionistic Fuzzy Sets|IWIFS]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/17|Volume 17 (2011)]]
| [[Notes on Intuitionistic Fuzzy Sets/17/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/17/2|Number 2]] * || [[Notes on Intuitionistic Fuzzy Sets/17/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/17/4|Number 4]] ** || ||
| * 15th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Burgas, Bulgaria ** 7th [[International Workshop on Intuitionistic Fuzzy Sets|IWIFS]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/16|Volume 16 (2010)]]
| [[Notes on Intuitionistic Fuzzy Sets/16/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/16/2|Number 2]] * || [[Notes on Intuitionistic Fuzzy Sets/16/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/16/4|Number 4]] ** || ||
| * 14th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria ** 6th [[International Workshop on Intuitionistic Fuzzy Sets|IWIFS]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/15|Volume 15 (2009)]]
| [[Notes on Intuitionistic Fuzzy Sets/15/1|Number 1]] * || [[Notes on Intuitionistic Fuzzy Sets/15/2|Number 2]] * || [[Notes on Intuitionistic Fuzzy Sets/15/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/15/4|Number 4]] ** || ||
| * 13th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria ** 5th [[International Workshop on Intuitionistic Fuzzy Sets|IWIFS]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/14|Volume 14 (2008)]]
| [[Notes on Intuitionistic Fuzzy Sets/14/1|Number 1]] * || [[Notes on Intuitionistic Fuzzy Sets/14/2|Number 2]] * || [[Notes on Intuitionistic Fuzzy Sets/14/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/14/4|Number 4]] ** || ||
| * 12th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Varna, Bulgaria ** 4th [[International Workshop on Intuitionistic Fuzzy Sets|IWIFS]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/13|Volume 13 (2007)]]
| [[Notes on Intuitionistic Fuzzy Sets/13/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/13/2|Number 2]] * || [[Notes on Intuitionistic Fuzzy Sets/13/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/13/4|Number 4]] ** || ||
| * 11th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria ** 3rd [[International Workshop on Intuitionistic Fuzzy Sets|IWIFS]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/12|Volume 12 (2006)]]
| [[Notes on Intuitionistic Fuzzy Sets/12/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/12/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/12/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/12/4|Number 4]] ** || ||
| * 10th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria ** 2nd [[International Workshop on Intuitionistic Fuzzy Sets|IWIFS]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/11|Volume 11 (2005)]]
| [[Notes on Intuitionistic Fuzzy Sets/11/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/11/2|Number 2]] * || [[Notes on Intuitionistic Fuzzy Sets/11/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/11/4|Number 4]] * || [[Notes on Intuitionistic Fuzzy Sets/11/5|Number 5]] || [[Notes on Intuitionistic Fuzzy Sets/11/6|Number 6]] **
| * 9th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria ** 1st [[International Workshop on Intuitionistic Fuzzy Sets|IWIFS]], Banská Bystrica, Slovakia

|-
! [[Notes on Intuitionistic Fuzzy Sets/10|Volume 10 (2004)]]
| [[Notes on Intuitionistic Fuzzy Sets/10/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/10/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/10/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/10/4|Number 4]] * || ||
| * 8th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Varna, Bulgaria

|-
! [[Notes on Intuitionistic Fuzzy Sets/09|Volume 09 (2003)]]
| [[Notes on Intuitionistic Fuzzy Sets/09/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/09/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/09/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/09/4|Number 4]] * || ||
| * 7th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria

|-
! [[Notes on Intuitionistic Fuzzy Sets/08|Volume 08 (2002)]]
| [[Notes on Intuitionistic Fuzzy Sets/08/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/08/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/08/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/08/4|Number 4]] || ||
| * 6th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Varna, Bulgaria

|-
! [[Notes on Intuitionistic Fuzzy Sets/07|Volume 07 (2001)]]
| [[Notes on Intuitionistic Fuzzy Sets/07/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/07/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/07/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/07/4|Number 4]] * || ||
| * 5th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria

|-
! [[Notes on Intuitionistic Fuzzy Sets/06|Volume 06 (2000)]]
|| [[Notes on Intuitionistic Fuzzy Sets/06/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/06/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/06/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/06/4|Number 4]] * || ||
| * 4th [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria

|-
! [[Notes on Intuitionistic Fuzzy Sets/05|Volume 05 (1999)]]
| [[Notes on Intuitionistic Fuzzy Sets/05/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/05/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/05/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/05/4|Number 4]] * || ||
| * 3rd [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria

|-
! [[Notes on Intuitionistic Fuzzy Sets/04|Volume 04 (1998)]]
| [[Notes on Intuitionistic Fuzzy Sets/04/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/04/2|Number 2]] * || [[Notes on Intuitionistic Fuzzy Sets/04/3|Number 3]] * || [[Notes on Intuitionistic Fuzzy Sets/04/4|Number 4]] || ||
| * 2nd [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria

|-
! [[Notes on Intuitionistic Fuzzy Sets/03|Volume 03 (1997)]]
| [[Notes on Intuitionistic Fuzzy Sets/03/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/03/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/03/3|Number 3]] || [[Notes on Intuitionistic Fuzzy Sets/03/4|Number 4]] * || [[Notes on Intuitionistic Fuzzy Sets/03/5|Number 5]] ||
| * 1st [[International Conference on Intuitionistic Fuzzy Sets|ICIFS]], Sofia, Bulgaria

|-
! [[Notes on Intuitionistic Fuzzy Sets/02|Volume 02 (1996)]]
| [[Notes on Intuitionistic Fuzzy Sets/02/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/02/2|Number 2]] || [[Notes on Intuitionistic Fuzzy Sets/02/3|Number 3]] || || ||
| —

|-
! [[Notes on Intuitionistic Fuzzy Sets/01|Volume 01 (1995)]]
| [[Notes on Intuitionistic Fuzzy Sets/01/1|Number 1]] || [[Notes on Intuitionistic Fuzzy Sets/01/2|Number 2]] || || || ||
| —
|}

[[Category:Notes on IFS| ]]

Notes on Intuitionistic Fuzzy Sets/32

2026-05-20T09:32:56Z

Vassia Atanassova: Number 2

'''[[Notes on Intuitionistic Fuzzy Sets]], Volume 32 (2026).'''

== [[Notes on Intuitionistic Fuzzy Sets/32/1|Number 1]] ==
{{:Notes on Intuitionistic Fuzzy Sets/32/1}}
== [[Notes on Intuitionistic Fuzzy Sets/32/2|Number 2]] ==
{{:Notes on Intuitionistic Fuzzy Sets/32/2}}

This volume and issues of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP7-1/2025.

Bulgarian National Science Fund bears no liability for the content of the published materials.

[[Category:Notes on IFS|32]]
[[Category:Publications in 2026 year]]
__NOTOC__

Issue:Intuitionistic fuzzy G-modules

2026-05-20T09:32:15Z

Vassia Atanassova:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2015 year|{{PAGENAME}}]]
{{issue/title
| title = Intuitionistic fuzzy G-modules
| shortcut = nifs/21/1/6-23
}}
{{issue/author
| author = P. K. Sharma
| institution = Post Graduate Department of Mathematics, D. A. V. College
| address = Jalandhar, Punjab, India
| email-before-at = pksharma
| email-after-at = davjalandhar.com
}}
{{issue/author
| author = Tarandeep Kaur
| institution = Post Graduate Department of Mathematics, D. A. V. College
| address = Jalandhar, Punjab, India
| email-before-at = tarandeepkaur41
| email-after-at = yahoo.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/21/1|"Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 1]], pages 6—23
| file = NIFS-21-1-06-23.pdf
| format = PDF
| size = 208
| abstract = In this paper, the notion of intuitionistic fuzzy G-modules on a G-module M over a field K is introduced. The quotient intuitionistic fuzzy G-modules are defined and discussed. A homomorphism of G-module M onto M* is established. Also we introduced (weak) intuitionistic fuzzy G-homomorphism (isomorphism). Intersection, Sum, Product and Cartesian product of two intuitionistic fuzzy G-modules are also discussed.
| keywords = Intuitionistic fuzzy set, Intuitionistic fuzzy G-module, (α, β)–cut set, Support, Quotient intuitionistic fuzzy G-module.
| ams = 03F55, 08A72, 16D10
| references =
# Abraham, T. & Sebastian, S. (2010) On fuzzy representation of fuzzy G-modules, J. Comp. & Math. Sci., 1(5), 592-597.
# Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1994) New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(2), 1994, 137–142.
# Atanassov, K. T. (1999) [[Intuitionistic Fuzzy Sets: Theory and Applications]], Studies on Fuzziness and Soft Computing, 35, Physica-Verlag, Heidelberg.
# Biswas, R. (1989) Intuitionistic fuzzy subgroups, Mathematical Forum, 10, 37–46.
# Curties, C.W. & Reiner, I. (1962) Representation Theory of Finite Groups and Associated Algebras, INC.
# Davvaz, B., Dudek, W.A., & Jun, Y.B. (2006) Intuitionistic fuzzy Hv-submodules, Information Sciences, 176, 285–300.
# Fernadez, S. (2002) Fuzzy G-modules and fuzzy representations, TAJOPAM, 1, 107–114.
# Isaac, P., & John, P. P. (2011) On Intuitionistic Fuzzy Submodules of a Module, Int. J. of Mathematical Sciences and Applications, 1(3), 1447–1454.
# Jose, S., & Kuriakose, S. (2012) [[Issue:Decomposition theorems of an intuitionistic fuzzy set|Decomposition theorems of an intuitionistic fuzzy set]], Notes on intuitionistic Fuzzy Sets, 18(2), 31–36.
# Naegoita, C.V., & Ralescu, D.A. (1975) Application of Fuzzy Sets in System Analysis, Birkhauser, Basel.
# Rahman, S., & Saikia, H.K. (2012) Some aspects of Atanassov’s intuitionistic fuzzy submodules, Int. J. Pure and Appl. Mathematics, 77(3), 369–383.
# Sharma, P. K. (2013) (α, β)-Cut of intuitionistic fuzzy modules, Int. J. of Mathematical Sciences and Applications, 3(1), 11–17.
# Sharma, P. K. (2011) (α, β)-Cut of Intuitionistic fuzzy modules - II, Int. J. of Mathematical Sciences and Applications, 1(3), 1489–1492.
# Sharma, P. K. On intuitionistic fuzzy Abelian subgroups- II, Advances in Fuzzy Sets and Systems (communicated)
# Sharma, P. K., & Kaur, T. On intuitionistic fuzzy representation of intuitionistic fuzzy Gmodules, (under preparation)
# Zadeh, L. A. (1965) Fuzzy Sets, Inform. control., 8, 338–353.

| citations =
| see-also =
}}

Issue:Intuitionistic fuzzy G-modules

2026-05-20T09:31:27Z

Vassia Atanassova:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2015 year|{{PAGENAME}}]]
{{issue/title
| title = Intuitionistic fuzzy G-modules
| shortcut = nifs/21/1/6-23
}}
{{issue/author
| author = P. K. Sharma
| institution = Post Graduate Department of Mathematics, D. A. V. College
| address = Jalandhar, Punjab, India
| email-before-at = pksharma
| email-after-at = davjalandhar.com
}}
{{issue/author
| author = Tarandeep Kaur
| institution = Post Graduate Department of Mathematics, D. A. V. College
| address = Jalandhar, Punjab, India
| email-before-at = tarandeepkaur41
| email-after-at = yahoo.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/21/1|"Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 1]], pages 6—23
| file = NIFS-21-1-06-23.pdf
| format = PDF
| size = 208
| abstract = In this paper, the notion of intuitionistic fuzzy G-modules on a G-module M over a field K is introduced. The quotient intuitionistic fuzzy G-modules are defined and discussed. A homomorphism of G-module M onto M* is established. Also we introduced (weak) intuitionistic fuzzy G-homomorphism (isomorphism). Intersection, Sum, Product and Cartesian product of two intuitionistic fuzzy G-modules are also discussed.
| keywords = Intuitionistic fuzzy set, Intuitionistic fuzzy G-module, (α, β)–cut set, Support, Quotient intuitionistic fuzzy G-module.
| ams = 03F55, 08A72, 16D10
| references =
# Abraham, T. & Sebastian, S. (2010) On fuzzy representation of fuzzy G-modules, J. Comp. & Math. Sci., 1(5), 592-597.
# Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1994) New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(2), 1994, 137–142.
# Atanassov, K. T. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Studies on Fuzziness and Soft Computing, 35, Physica-Verlag, Heidelberg.
# Biswas, R. (1989) Intuitionistic fuzzy subgroups, Mathematical Forum, 10, 37–46.
# Curties, C.W. & Reiner, I. (1962) Representation Theory of Finite Groups and Associated Algebras, INC.
# Davvaz, B., Dudek, W.A., & Jun, Y.B. (2006) Intuitionistic fuzzy Hv-submodules, Information Sciences, 176, 285–300.
# Fernadez, S. (2002) Fuzzy G-modules and fuzzy representations, TAJOPAM, 1, 107–114.
# Isaac, P., & John, P. P. (2011) On Intuitionistic Fuzzy Submodules of a Module, Int. J. of Mathematical Sciences and Applications, 1(3), 1447–1454.
# Jose, S., & Kuriakose, S. (2012) Decomposition theorems of an intuitionistic fuzzy set, Notes on intuitionistic Fuzzy Sets, 18(2), 31–36.
# Naegoita, C.V., & Ralescu, D.A. (1975) Application of Fuzzy Sets in System Analysis, Birkhauser, Basel.
# Rahman, S., & Saikia, H.K. (2012) Some aspects of Atanassov’s intuitionistic fuzzy submodules, Int. J. Pure and Appl. Mathematics, 77(3), 369–383.
# Sharma, P. K. (2013) (α, β)-Cut of intuitionistic fuzzy modules, Int. J. of Mathematical Sciences and Applications, 3(1), 11–17.
# Sharma, P. K. (2011) (α, β)-Cut of Intuitionistic fuzzy modules - II, Int. J. of Mathematical Sciences and Applications, 1(3), 1489–1492.
# Sharma, P. K. On intuitionistic fuzzy Abelian subgroups- II, Advances in Fuzzy Sets and Systems (communicated)
# Sharma, P. K., & Kaur, T. On intuitionistic fuzzy representation of intuitionistic fuzzy Gmodules, (under preparation)
# Zadeh, L. A. (1965) Fuzzy Sets, Inform. control., 8, 338–353.

| citations =
| see-also =
}}

Category:Publications of Tarandeep Kaur

2026-05-20T09:31:06Z

Vassia Atanassova: Created page with "''This category contains publications of Tarandeep Kaur, available on Ifigenia.'' --------- Kaur, Tarandeep "

''This category contains publications of [[Tarandeep Kaur]], available on Ifigenia.''
---------

[[Category:Publications by author|Kaur, Tarandeep ]]

Tarandeep Kaur

2026-05-20T09:30:47Z

Vassia Atanassova: Redirected page to Category:Publications of Tarandeep Kaur

#redirect [[Category:Publications of Tarandeep Kaur]]

Issue:Intuitionistic fuzzy group subalgebras

2026-05-20T09:30:15Z

Vassia Atanassova:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = Intuitionistic fuzzy group subalgebras
| shortcut = nifs/32/2/89-104
}}
{{issue/author
| author = Poonam Kumar Sharma
| institution = Post-Graduate Department of Mathematics, D.A.V. College
| address = Jalandhar, Punjab, India
| email-before-at = pksharma
| email-after-at = davjalandhar.com
| orcid = 0000-0001-5463-8665
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 89–104
| doi = https://doi.org/10.7546/nifs.2026.32.2.89-104
| file = NIFS-32-2-089-104.pdf
| format = PDF
| size = 272
| abstract = This paper presents a systematic investigation of intuitionistic fuzzy algebraic structures associated with group algebras. We introduce the concept of an intuitionistic fuzzy group subalgebra (IFGSA) of an intuitionistic fuzzy group algebra (IFGA) constructed from the group algebra K[G], where G is a finite group and K is a field. Structural properties of IFGSAs are examined, with particular emphasis on their behavior under intuitionistic fuzzy group algebra homomorphisms (IFGA-homomorphisms). The image and inverse image of IFGSAs are studied, and it is proved that the intersection of an arbitrary family of IFGSAs is again an IFGSA. Furthermore, the notion of an intuitionistic fuzzy augmentation ideal (IFAI) in an IFGA is introduced and analyzed. It is shown that the intersection of an arbitrary family of IFAIs remains an IFAI. The image and inverse image of IFAIs under IFGA-homomorphisms are also investigated. Finally, isomorphism theorems for IFGAs are established, extending classical group algebra results to the intuitionistic fuzzy framework.
| keywords = Intuitionistic fuzzy algebra, Group algebra, Intuitionistic fuzzy group subalgebra, Intuitionistic fuzzy augmentation ideal, IFGA-homomorphism.
| ams = 03F55, 16D10, 16W22, 22D22.
| references =
# [[Krassimir Atanassov|Atanassov, K. T.]] (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1994). New operation defined over the intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61, 137–142.
# Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Studies on Fuzziness and Soft Computing, Vol. 35. Physica-Verlag, Heidelberg.
# Basnet, D. K. (2011). Topics in Intuitionistic Fuzzy Algebra. Lambert Academic Publishing, Saarbrücken.
# Biswas, R. (1989). Intuitionistic fuzzy subgroup. Mathematical Forum, X, 37–46.
# Chiney, M., & Samanta, S. K. (2017). [[Issue:Intuitionistic fuzzy basis of an intuitionistic fuzzy vector space|Intuitionistic fuzzy basis of an intuitionistic fuzzy vector space]]. Notes on Intuitionistic Fuzzy Sets, 23(4), 62–74.
# Curties, C. W., & Reiner, I. (1962). Representation Theory of Finite Groups and Associated Algebras. InterScience Publishers / John Wiley & Sons, New York.
# [[Gökhan Çuvalcioğlu|Çuvalcioğlu, G.]], & [[Esra Aykut|Aykut, E.]] (2015). [[Issue:An application of some intuitionistic fuzzy modal operators to agriculture|An application of some intuitionistic fuzzy modal operators to agriculture]]. Notes on Intuitionistic Fuzzy Sets, 21(2), 140–149.
# Çuvalcioğlu, G., & Tarsuslu (Yılmaz), S. (2021). Isomorphism theorems on intuitionistic fuzzy abstract algebras. Communications in Mathematics and Applications, 12(1), 109–126.
# Davvaz, B., Dudek, W. A., & Jun, Y. B. (2006). Intuitionistic fuzzy Hv-submodules. Information Sciences, 176, 285–300.
# Elnair, M. E. (2024). More results on intuitionistic fuzzy ideals of BE-algebras. European Journal of Pure and Applied Mathematics, 17(1), 426–434.
# Isaac, P., & John, P. P. (2011). On intuitionistic fuzzy submodules of a module. International Journal of Mathematical Sciences and Applications, 1(3), 1447–1454.
# Musili, C. (1993). Representations of Finite Groups. Hindustan Book Agency, New Delhi.
# Rahman, S., & Saikia, H. K. (2012). Some aspects of Atanassov’s intuitionistic fuzzy submodules. International Journal of Pure and Applied Mathematics, 77(3), 369–383.
# Rasuli, R. (2023). [[Issue:Intuitionistic fuzzy G-modules with respect to norms (T and S)|Intuitionistic fuzzy G-modules with respect to norms]]. Notes on Intuitionistic Fuzzy Sets, 29(3), 277–291.
# Sharma, P. K. (2011). Intuitionistic fuzzy groups. International Journal of Data Warehousing & Mining, 1(1), 86–94.
# Sharma, P. K. (2013). (α,β)-Cut of intuitionistic fuzzy modules – II. Inernational Journal of Mathematical Sciences and Applications, 3(1), 11–17.
# Sharma, P. K. (2024). Intuitionistic fuzzy lattice ordered G-modules. Journal of Fuzzy Extension and Applications, 5(1), 141–158.
# Sharma, P. K. (2025). [[Issue:Intuitionistic fuzzy group algebra|Intuitionistic fuzzy group algebra]]. Notes on Intuitionistic Fuzzy Sets, 31(4), 465–478.
# Sharma, P. K., & [[Tarandeep Kaur|Kaur, T.]] (2015). [[Issue:Intuitionistic fuzzy G-modules|Intuitionistic fuzzy G-modules]]. Notes on Intuitionistic Fuzzy Sets, 21(1), 6–23.
# Sharma, P. K., & Kaur, T. (2016). On intuitionistic fuzzy representation of intuitionistic fuzzy G-modules. Annals of Fuzzy Mathematics and Informatics, 11(4), 557–569.
# Yang, X., & Zhou, X. (2024). Ideals and homomorphism theorems of fuzzy associative algebras. Mathematics, 12(8), Article ID 1125.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338—353.

| citations =
| see-also =
}}

File:NIFS-32-2-089-104.pdf

2026-05-20T09:28:02Z

Vassia Atanassova: Vassia Atanassova moved page File:NIFS-32-3-089-104.pdf to File:NIFS-32-2-089-104.pdf without leaving a redirect: Misspelled title

== Summary ==
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| author = [[Poonam Kumar Sharma]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 89-104
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
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[[Category:PDF files]]

File:NIFS-32-2-089-104.pdf

2026-05-20T09:26:43Z

Vassia Atanassova:

File:NIFS-32-2-089-104.pdf

2026-05-20T09:26:23Z

Vassia Atanassova: == Summary == {{upload | description = Issue:Intuitionistic fuzzy group subalgebras| | author = poonam Kumar Sharma | source = Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2, pages 89-104 | date = 2026 | license = Creative Commons Attribution (CC BY 4.0) | other-version = }} Category:PDF files

== Summary ==
{{upload
| description = [[Issue:Intuitionistic fuzzy group subalgebras|Intuitionistic fuzzy group subalgebras]]
| author = [[poonam Kumar Sharma]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 89-104
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
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Issue:Nifs/32/2/89-104

2026-05-20T09:25:32Z

Vassia Atanassova: Redirected page to Issue:Intuitionistic fuzzy group subalgebras

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Issue:Intuitionistic fuzzy group subalgebras

2026-05-20T09:25:20Z

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = Intuitionistic fuzzy group subalgebras | shortcut = nifs/32/2/89-104 }} {{issue/author | author = Poonam Kumar Sharma | institution = Post-Graduate Department of Mathematics, D.A.V. College | address = Jalandhar, Punjab, India | ema..."

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{{issue/title
| title = Intuitionistic fuzzy group subalgebras
| shortcut = nifs/32/2/89-104
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{{issue/author
| author = Poonam Kumar Sharma
| institution = Post-Graduate Department of Mathematics, D.A.V. College
| address = Jalandhar, Punjab, India
| email-before-at = pksharma
| email-after-at = davjalandhar.com
| orcid = 0000-0001-5463-8665
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{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 89–104
| doi = https://doi.org/10.7546/nifs.2026.32.2.89-104
| file = NIFS-32-2-089-104.pdf
| format = PDF
| size = 272
| abstract = This paper presents a systematic investigation of intuitionistic fuzzy algebraic structures associated with group algebras. We introduce the concept of an intuitionistic fuzzy group subalgebra (IFGSA) of an intuitionistic fuzzy group algebra (IFGA) constructed from the group algebra K[G], where G is a finite group and K is a field. Structural properties of IFGSAs are examined, with particular emphasis on their behavior under intuitionistic fuzzy group algebra homomorphisms (IFGA-homomorphisms). The image and inverse image of IFGSAs are studied, and it is proved that the intersection of an arbitrary family of IFGSAs is again an IFGSA. Furthermore, the notion of an intuitionistic fuzzy augmentation ideal (IFAI) in an IFGA is introduced and analyzed. It is shown that the intersection of an arbitrary family of IFAIs remains an IFAI. The image and inverse image of IFAIs under IFGA-homomorphisms are also investigated. Finally, isomorphism theorems for IFGAs are established, extending classical group algebra results to the intuitionistic fuzzy framework.
| keywords = Intuitionistic fuzzy algebra, Group algebra, Intuitionistic fuzzy group subalgebra, Intuitionistic fuzzy augmentation ideal, IFGA-homomorphism.
| ams = 03F55, 16D10, 16W22, 22D22.
| references =
# Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1994). New operation defined over the intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61, 137–142.
# Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Studies on Fuzziness and Soft Computing, Vol. 35. Physica-Verlag, Heidelberg.
# Basnet, D. K. (2011). Topics in Intuitionistic Fuzzy Algebra. Lambert Academic Publishing, Saarbrücken.
# Biswas, R. (1989). Intuitionistic fuzzy subgroup. Mathematical Forum, X, 37–46.
# Chiney, M., & Samanta, S. K. (2017). [[Issue:Intuitionistic fuzzy basis of an intuitionistic fuzzy vector space|Intuitionistic fuzzy basis of an intuitionistic fuzzy vector space]]. Notes on Intuitionistic Fuzzy Sets, 23(4), 62–74.
# Curties, C. W., & Reiner, I. (1962). Representation Theory of Finite Groups and Associated Algebras. InterScience Publishers / John Wiley & Sons, New York.
# Çuvalcioğlu, G., & Aykut, E. (2015). [[Issue:An application of some intuitionistic fuzzy modal operators to agriculture|An application of some intuitionistic fuzzy modal operators to agriculture]]. Notes on Intuitionistic Fuzzy Sets, 21(2), 140–149.
# Çuvalcioğlu, G., & Tarsuslu (Yılmaz), S. (2021). Isomorphism theorems on intuitionistic fuzzy abstract algebras. Communications in Mathematics and Applications, 12(1), 109–126.
# Davvaz, B., Dudek, W. A., & Jun, Y. B. (2006). Intuitionistic fuzzy Hv-submodules. Information Sciences, 176, 285–300.
# Elnair, M. E. (2024). More results on intuitionistic fuzzy ideals of BE-algebras. European Journal of Pure and Applied Mathematics, 17(1), 426–434.
# Isaac, P., & John, P. P. (2011). On intuitionistic fuzzy submodules of a module. International Journal of Mathematical Sciences and Applications, 1(3), 1447–1454.
# Musili, C. (1993). Representations of Finite Groups. Hindustan Book Agency, New Delhi.
# Rahman, S., & Saikia, H. K. (2012). Some aspects of Atanassov’s intuitionistic fuzzy submodules. International Journal of Pure and Applied Mathematics, 77(3), 369–383.
# Rasuli, R. (2023). [[Issue:Intuitionistic fuzzy G-modules with respect to norms (T and S)|Intuitionistic fuzzy G-modules with respect to norms]]. Notes on Intuitionistic Fuzzy Sets, 29(3), 277–291.
# Sharma, P. K. (2011). Intuitionistic fuzzy groups. International Journal of Data Warehousing & Mining, 1(1), 86–94.
# Sharma, P. K. (2013). (α,β)-Cut of intuitionistic fuzzy modules – II. Inernational Journal of Mathematical Sciences and Applications, 3(1), 11–17.
# Sharma, P. K. (2024). Intuitionistic fuzzy lattice ordered G-modules. Journal of Fuzzy Extension and Applications, 5(1), 141–158.
# Sharma, P. K. (2025). [[Issue:Intuitionistic fuzzy group algebra|Intuitionistic fuzzy group algebra]]. Notes on Intuitionistic Fuzzy Sets, 31(4), 465–478.
# Sharma, P. K., & Kaur, T. (2015). [[Issue:Intuitionistic fuzzy G-modules|Intuitionistic fuzzy G-modules]]. Notes on Intuitionistic Fuzzy Sets, 21(1), 6–23.
# Sharma, P. K., & Kaur, T. (2016). On intuitionistic fuzzy representation of intuitionistic fuzzy G-modules. Annals of Fuzzy Mathematics and Informatics, 11(4), 557–569.
# Yang, X., & Zhou, X. (2024). Ideals and homomorphism theorems of fuzzy associative algebras. Mathematics, 12(8), Article ID 1125.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338—353.

| citations =
| see-also =
}}

Notes on Intuitionistic Fuzzy Sets/32/2

2026-05-20T09:17:09Z

Vassia Atanassova: group

<noinclude>'''[[Notes on Intuitionistic Fuzzy Sets]], [[Notes on Intuitionistic Fuzzy Sets/32|Volume 32 (2026)]], Number 2.'''

== Journal contents ==</noinclude>

: ''Volume opened: 15 May 2026 '' 
:

{{journal-contents/header}}
{{journal-contents/row
|number = 1
|title = [[Issue:Intuitionistic fuzzy group subalgebras|Intuitionistic fuzzy group subalgebras]]
|authors = [[Poonam Kumar Sharma]]
|pages = 89–104
}}
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|title = TBA
|authors =
|pages =
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{{journal-contents/footer}}<noinclude>
This issue of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP7-1/2025.

Bulgarian National Science Fund bears no liability for the content of the published materials.

[[Category:Notes on IFS|31]]
</noinclude>

Notes on Intuitionistic Fuzzy Sets/32/2

2026-05-20T09:16:50Z

Vassia Atanassova: Created page with "<noinclude>'''Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2.''' == Journal contents ==</noinclude> : ''Volume opened: 15 May 2026 '' : {{journal-contents/header}} {{journal-contents/row |number = 1 |title = Issue:Intuitionistic fuzzy subalgebras| |authors = Poonam Kumar Sharma |pages = 89–104 }} {{journal-contents/row |number = 2</fon..."

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|title = [[Issue:Intuitionistic fuzzy subalgebras|Intuitionistic fuzzy subalgebras]]
|authors = [[Poonam Kumar Sharma]]
|pages = 89–104
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{{journal-contents/footer}}<noinclude>
This issue of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP7-1/2025.

Bulgarian National Science Fund bears no liability for the content of the published materials.

[[Category:Notes on IFS|31]]
</noinclude>

Notes on Intuitionistic Fuzzy Sets/32/1

2026-05-20T09:11:51Z

Vassia Atanassova:

<noinclude>'''[[Notes on Intuitionistic Fuzzy Sets]], [[Notes on Intuitionistic Fuzzy Sets/32|Volume 32 (2026)]], Number 1.'''

== Journal contents ==</noinclude>

{{journal-contents/header}}
{{journal-contents/row
|number = 1
|title = [[Issue:Invariant intuitionistic fuzzy observables|Invariant intuitionistic fuzzy observables]]
|authors = [[Katarína Čunderlíková]]
|pages = 1–14
}}
{{journal-contents/row
|number = 2
|title = [[Issue:Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures|Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures]]
|authors = [[Krassimir Atanassov]]
|pages = 15–29
}}
{{journal-contents/row
|number = 3
|title = [[Issue:A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases|A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases]]
|authors = [[Veselina Bureva]] and [[Krassimir Atanassov]]
|pages = 30–39
}}
{{journal-contents/row
|number = 4
|title = [[Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces|A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces]]
|authors = [[G. Saravanakumar]] and [[K. A. Venkatesan]]
|pages = 40–50
}}
{{journal-contents/row
|number = 5
|title = [[Issue:Operators on circular interval-valued intuitionistic fuzzy sets|Operators on circular interval-valued intuitionistic fuzzy sets]]
|authors = [[P. Gajalaxmi]], [[D. Jayanthi]] and [[M. Priyadharshini]]
|pages = 51–67
}}
{{journal-contents/row
|number = 6
|title = [[Issue:Rational divergence measures on intuitionistic fuzzy sets|Rational divergence measures on intuitionistic fuzzy sets]]
|authors = [[Vladimír Kobza]]
|pages = 68–87
}}
{{journal-contents/footer}}<noinclude>
This issue of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP7-1/2025.

Bulgarian National Science Fund bears no liability for the content of the published materials.

[[Category:Notes on IFS|31]]
</noinclude>

Issue:Rational divergence measures on intuitionistic fuzzy sets

2026-04-06T08:22:14Z

Vassia Atanassova: doi

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = Rational divergence measures on intuitionistic fuzzy sets
| shortcut = nifs/32/1/68-87
}}
{{issue/author
| author = Vladimír Kobza
| institution = Department of Mathematics, Matej Bel University in Banská Bystrica
| address = Tajovského 40, 974 01 Banská Bystrica, Slovakia
| email-before-at = vladimir.kobza
| email-after-at = umb.sk
| orcid = 0000-0002-2466-5563
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 68–87
| doi = https://doi.org/10.7546/nifs.2026.32.1.68-87
| file = NIFS-32-1-068-087.pdf
| format = PDF
| size = 256
| abstract = This paper investigates the theoretical foundations and practical applications of rational divergence measures within the framework of fuzzy set theory. Unlike traditional distance metrics, rational divergence measures are characterized by their functional form, typically expressed as a ratio of membership functions or set cardinalities, which allows for a more nuanced quantification of the "informational gap" between fuzzy sets.

The study explores the axiomatic properties of these measures, focusing on their ability to handle non-linearity and uncertainty in complex data structures. By examining rational forms of divergence, such as those derived from the Jaccard-like ratios or specialized f-divergences, this work demonstrates how these measures overcome the limitations of standard Euclidean distances in high-dimensional fuzzy spaces. Key emphasis is placed on their role in multi-criteria decision-making (MCDM) and pattern recognition, where the rational expression of divergence provides a more stable and intuitive measure of dissimilarity.

Furthermore, the paper provides a comparative analysis of different rational divergence formulations, evaluating their sensitivity to membership fluctuations and their performance in clustering algorithms. The results suggest that rational divergence measures offer superior discriminative power, making them a tool for modeling expert knowledge and imprecise information in modern intelligent systems.

Many authors investigated the possibilities how two fuzzy sets can be compared. The basic study of fuzzy sets theory was introduced by Lotfi Zadeh in 1965. We discuss the divergences defined on more general objects, namely intuitionistic fuzzy sets (IFSs). We have focused on special class of divergences, since some restriction conditions are necessary. This approach to the divergence measure is motivated by class of the rational similarity measures between fuzzy subsets expressed using some set operations (namely intersection, complement, difference, and symmetric difference) and their scalar cardinalities. In this study, we have considered the value of divergence between IFSs as a Σ-count of two scalar cardinalities, i.e. as a pair of real numbers.
| keywords = Intuitionistic fuzzy set, Divergence measure, Local property, Rational similarity measure.
| ams = 03B52.
| references =
# Anthony, M., & Hammer, P. L. (2006). A Boolean measure of similarity. Discrete Applied Mathematics, 154(16), 2242–2246.
# Ashraf, S., & Rashid, T. (2010). Fuzzy Similarity Measures. LAP LAMBERT Academic Publishing.
# Atanassov, K. T. (1983). Intuitionistic fuzzy sets. VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted in: Int. J. Bioautomation, 2016, 20(S1), S1–S6. (in English).
# Bouchon-Meunier, B., Rifqi, M., & Bothorel, S. (1996). Towards general measures of comparison of objects. Fuzzy Sets and Systems, 84, 143–153.
# Couso, I., Garrido, L., & Sanchez, L. (2013). Similarity and dissimilarity measures between fuzzy sets: A formal relational study. Information Sciences, 229, 122–141.
# De Baets, B., De Meyer, H., & Naessens, H. (2001). A class of rational cardinality-based similarity measures. The Journal of Computational and Applied Mathematics, 132, 51–69.
# De Baets, B., Janssens, S., & De Meyer, H. (2009). On the transitivity of a parametric family of cardinality-based similarity measures. Journal of Approximate Reasoning, 50, 104–116.
# De Luca, A., & Termini, S. (1972). A definition of a non-probabilistic entropy in the setting of Fuzzy Set Theory. Information and Control, 20, 301–312.
# Kobza, V. (2017). Divergence measure between fuzzy sets using cardinality. Kybernetika, 53(3), 418–436.
# Kobza, V. (2022). [[Issue:Divergence measures on intuitionistic fuzzy sets|Divergence measures on intuitionistic fuzzy sets]]. Notes on Intuitionistic Fuzzy Sets, 28(4), 413–427.
# Kobza, V., Janis, V. & Montes, S. (2017). Generalizated local divergence measures. Journal of Intelligent & Fuzzy Systems, 33, 337–350.
# Lui, X. (1992). Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets and Systems, 52, 305–318.
# Montes, S. (1998). Partitions and Divergence Measures in Fuzzy Models. [Doctoral Dissertation, University of Oviedo, Spain].
# Montes, S., Couso, I., Gil, P. & Bertoluzza, C. (2002). Divergence measure between fuzzy sets. International Journal of Approximate Reasoning, 30, 91–105.
# Papakostas, G. A., Hatzimichailidis, A. G. & Kaburlasos, V. G. (2013). Distance and similarity measures between intuitionistic fuzzy sets: A comparative analysis from a pattern recognition point of view. Pattern Recognition Letters, 34(14), 1609–1622.
# Szmidt, E. & Kacprzyk, J. (2000). Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems, 114(3), 505–518.
# Szmidt, E. (2014). Distances and Similarities in Intuitionistic Fuzzy Sets. Studies in Fuzziness and Soft Computing, Vol. 307, Springer, Cham.
# Wang, W. & Xin, X. (2005). Distance measure between intuitionistic fuzzy sets. Pattern Recognition Letters, 26, 2063–2069.
# Xu, Z. & Xia, M. (2011). Distance and similarity measures for hesitant fuzzy sets. Information Sciences, 181, 2128–2138.
# Zadeh, L. (2014). A note on similarity-based definitions of possibility and probability. Information Sciences, 267, 334–336.
# Zhang, C. & Fu, H. (2006). Similarity measures on three kinds of fuzzy sets. Pattern Recognition Letters, 27(2), 1307–1317.

| citations =
| see-also =
}}

Issue:Operators on circular interval-valued intuitionistic fuzzy sets

2026-04-06T08:21:47Z

Vassia Atanassova: doi

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = Operators on circular interval-valued intuitionistic fuzzy sets
| shortcut = nifs/32/1/51-67
}}
{{issue/author
| author = P. Gajalaxmi
| institution = Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women
| address = Coimbatore, Tamil Nadu, India
| email-before-at = pgajalaxmi1004
| email-after-at = gmail.com
}}
{{issue/author
| author = D. Jayanthi
| institution = Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women
| address = Coimbatore, Tamil Nadu, India
| email-before-at = jeyanthi_mat
| email-after-at = avinuty.ac.in
}}
{{issue/author
| author = M. Priyadharshini
| institution = Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women
| address = Coimbatore, Tamil Nadu, India
| email-before-at = priyadharshini1501
| email-after-at = gmail.com
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 51–67
| doi = https://doi.org/10.7546/nifs.2026.32.1.51-67
| file = NIFS-32-1-051-067.pdf
| format = PDF
| size = 256
| abstract = A circular interval-valued intuitionistic fuzzy set extends the concept of a circular intuitionistic fuzzy set by incorporating membership and non-membership degrees, which are represented as closed intervals with a given radius ''r'', both confined within the range [0,1]. The geometrical representation of a circular interval-valued intuitionistic fuzzy set is given. A few fundamental operators and their properties have been discussed. To develop a circular interval-valued intuitionistic fuzzy set from an interval-valued intuitionistic fuzzy set, two methods have been presented, and an instance is provided to illustrate.
| keywords = Interval-valued intuitionistic fuzzy sets, Circular interval-valued intuitionistic fuzzy sets, Circular intuitionistic fuzzy set, Operators.
| ams = 03E72, 28E10.
| references =
# Alimohammadlou, M., Alinejad, S., Khoshsepehr, Z., Safari, M., Jafari, Y., Tajodin, A., & Mohammadi, S. S. (2023). Circular intuitionistic fuzzy AHP: An application in manufacturing sector. In: Analytic hierarchy process with fuzzy sets extensions: Applications and discussions (pp. 369–394). Springer International Publishing.
# Alkan, N., & Kahraman, C. (2022). Circular intuitionistic fuzzy TOPSIS method: Pandemic hospital location selection. Journal of Intelligent & Fuzzy Systems, 42(1), 295–316.
# Alsattar, H. A., Mourad, N., Zaidan, A. A., Deveci, M., Qahtan, S., Jayaraman, V., & Khalid, Z. (2023). Developing IoT sustainable real-time monitoring devices for food supply chain systems based on climate change using circular intuitionistic fuzzy set. IEEE Internet of Things Journal, 11(16), 26680–26689.
# Ashraf, S., Chohan, M. S., Muhammad, S., & Khan, F. (2023). Circular intuitionistic fuzzy TODIM approach for material selection for cryogenic storage tank for liquid nitrogen transportation. IEEE Access, 11, 98458–98468.
# Ashraf, S., Sohail, M., Chohan, M. S., Paokanta, S., & Park, C. (2024). Higher-order circular intuitionistic fuzzy time series forecasting methodology: Application of stock change index. Demonstratio Mathematica, 57(1), Article 20230115.
# Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (2020). Circular intuitionistic fuzzy sets. Journal of Intelligent & Fuzzy Systems, 39(5), 5981–5986.
# Atanassov, K. (2021). Elliptic intuitionistic fuzzy sets. Comptes rendus de l’Academie bulgare des Sciences, 74(6), 812–819.
# Atanassov, K., & Gargov, G. (1989). Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31(3), 343–349.
# Atanassov, K., & Marinov, E. (2021). Four distances for circular intuitionistic fuzzy sets. Mathematics, 9(10), Article ID 1121.
# Boltürk, E., & Kahraman, C. (2022). Interval-valued and circular intuitionistic fuzzy present worth analyses. Informatica, 33(4), 693–711.
# Bozyiğit, M. C., & Ünver, M. (2024). Parametric circular intuitionistic fuzzy information measures and multi-criteria decision making with extended TOPSIS. Granular Computing, 9(2), Article ID 43.
# Çakır, E., \& Demircioğlu, E. (2024). Multi-criteria evaluation of battery electric vehicles via circular intuitionistic fuzzy PROMETHEE. In: IEEE 18th International Symposium on Applied Computational Intelligence and Informatics (SACI) (pp. 151–156).
# Çakır, E., & Taş, M. A. (2023). Circular intuitionistic fuzzy decision making and its application. Expert Systems with Applications, 225, Article ID 120076.
# Çaloğlu Büyükselçuk, E. (2024). Evaluation of industrial IoT service providers with TOPSIS based on circular intuitionistic fuzzy sets. Computers, Materials & Continua, 80(1), 715–746.
# Çaloğlu Büyükselçuk, E., \& Sarı, Y. C. (2023). The best whey protein powder selection via VIKOR based on circular intuitionistic fuzzy sets. Symmetry, 15(7), Article ID 1313.
# Chen, T. Y. (2023). Evolved distance measures for circular intuitionistic fuzzy sets and their exploitation in the technique for order preference by similarity to ideal solutions. Artificial Intelligence Review, 56(7), 7347–7401.
# Garg, H., Ünver, M., Olgun, M., & Türkarslan, E. (2023). An extended EDAS method with circular intuitionistic fuzzy value features and its application to multi-criteria decision-making process. Artificial Intelligence Review, 56(3), 3173–3204.
# Gorzalczany, M. B. (1987). A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets and Systems, 21(1), 1–17.
# Imanov, G., & Aliyev, A. (2021). Circular intuitionistic fuzzy sets in evaluation of human capital. Revista Cient´ıfica del Instituto Iberoamericano de Desarrollo Empresarial, 1, 1–13.
# Kahraman, C., & Alkan, N. (2021). [[Issue:Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context|Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context]]. Notes on Intuitionistic Fuzzy Sets, 27(1), 24–52.
# Kahraman, C., & Otay, I. (2022). Extension of VIKOR method using circular intuitionistic fuzzy sets. In: Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation: Proceedings of the INFUS 2021 Conference (Vol. 2, pp. 48–57). Springer International Publishing.
# Khan, M. J., Kumam, W., & Alreshidi, N. A. (2022). Divergence measures for circular intuitionistic fuzzy sets and their applications. Engineering Applications of Artificial Intelligence, 116, Article ID 105455.
# Otay, I., & Kahraman, C. (2022). A novel circular intuitionistic fuzzy AHP & VIKOR methodology: An application to a multi-expert supplier evaluation problem. Pamukkale Universitesi Muhendislik Bilimleri Dergisi ¨ , 28(1), 194–207.
# Turksen, I. B. (1996). Interval-valued strict preference with Zadeh triples. Fuzzy Sets and Systems, 78, 183–195.
# Wang, J. C., & Chen, T. Y. (2024). A compromise decision-support technique with an augmented scoring function within circular intuitionistic fuzzy settings. Engineering Applications of Artificial Intelligence, 128, Article ID 107359.
# Xu, C., & Wen, Y. (2023). New measure of circular intuitionistic fuzzy sets and its application in decision making. AIMS Mathematics, 8(10), 24053–24074.
# Yusoff, B., Pratama, D., Kilicman, A., & Abdullah, L. (2023). Circular intuitionistic fuzzy ELECTRE III model for group decision analysis. Informatica, 34(4), 881–908.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.

| citations =
| see-also =
}}

Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces

2026-04-06T08:21:36Z

Vassia Atanassova:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = A variety of functions concerning intuitionistic fuzzy ''M''-clopen sets in intuitionistic fuzzy topological spaces
| shortcut = nifs/32/1/40-50
}}
{{issue/author
| author = G. Saravanakumar
| institution = Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University)
| address = Avadi, Chennai-600062, India
| email-before-at = saravananguru2612
| email-after-at = gmail.com
}}
{{issue/author
| author = K. A. Venkatesan
| institution = Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University)
| address = Avadi, Chennai-600062, India
| email-before-at = venkimaths1975
| email-after-at = gmail.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 40–50
| doi = https://doi.org/10.7546/nifs.2026.32.1.40-50
| file = NIFS-32-1-040-050.pdf
| format = PDF
| size = 199
| abstract = This paper introduces a novel class of mappings: slightly intuitionistic fuzzy ''M''-continuous functions, intuitionistic fuzzy totally ''M''-continuous functions, and intuitionistic fuzzy ''M''-totally continuous functions, utilizing intuitionistic fuzzy ''M'' clopen sets. We examine the topological properties and characterizations of these mappings, explore the relationships between these new sets and existing sets in intuitionistic fuzzy topological spaces, and provide examples to illustrate the concepts.
| keywords = Intuitionistic fuzzy topological spaces, Slightly intuitionistic fuzzy ''M'' continuous functions, Intuitionistic fuzzy totally ''M''-continuous functions, Intuitionistic fuzzy ''M''-totally continuous functions.
| ams = 54A40, 54A99, 03E72, 03E99.
| references =
# Atanassov, K. (1983). Atanassov K. T. Intuitionistic Fuzzy Sets. VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: International Journal Bioautomation, 2016, 20(S1), S1–S6.
# Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag, Heidelberg, New York.
# Atanassov, K., & Stoeva, S. (1983). Intuitionistic fuzzy sets. Polish Symposium on Interval and Fuzzy Mathematics, Poznan, 23–26.
# Caldas, M., Jafari, S., & Kovar, M. M. (2004). Some properties of θ-open sets. Divulgaciones Matematicas ´ , 12(2), 161–169.
# Çoker, D. (1996). An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics, 4, 749–764.
# Çoker, D. (1997). An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems, 88(1), 81–89.
# Çoker, D., & Demirci, M. (1996). An introduction to intuitionistic fuzzy topological spaces in Šostak's sense. BUSEFAL, 67, 67–76.
# Fora, A. A. A. (2017) The number of fuzzy clopen sets in fuzzy topological spaces. Journal of Mathematical Sciences and Applications, 5(1), 24–26.
# Gurcay, H., Haydar, A., & Çoker, D. (1997) On fuzzy continuity in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics, 5(2), 365–378.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2011). M-open set in topological spaces. Pioneer Journal of Mathematics and Mathematical Sciences, 4(2), 213–308.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2013). New types of functions by M-open sets. Journal of Taibah University for Science, 7(3), 137–145.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2014). Further properties on M-continuity. Journal of Egyptian Mathematical Society, 22(1), 63–69.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2014). Some applications of M-open set in topological spaces. Journal of King Saud University-Science, 26, 261–266.
# Manimaran, A., Prakash, K. A., & Thangaraj, P. (2011). Intuitionistic fuzzy totally continuous and totally semi-continuous mappings in intuitionistic fuzzy topological spaces. International journal of Advanced Scientific and Technical Research, 2(1), 505–509.
# Mondal, T. K., & Samanta, S. K. (2002). On intuitionistic gradation of openness. Fuzzy Sets and Systems, 131(3), 323–336.
# Samanta, S. K., & Mondal, T. K. (1997). Intuitionistic gradation of openness, intuitionistic fuzzy topology. BUSEFAL, 73, 8–17.
# Smets, P. (1981). The degree of belief in a fuzzy event. Information Sciences, 25(1), 1–19.
# Sobana, D., Chandrasekar, V., & Vadivel, A. (2018). On fuzzy e-open sets, fuzzy e-continuity and fuzzy e-compactness in intuitionistic fuzzy topological spaces. Sahand Communications in Mathematical Analysis, 12(1), 131–153.
# Suba, M., Shanmugapriya, R., Sakthivel, K., & Malini, T. N. M. (2022). Several types of functions of intuitionistic fuzzy M open sets in intuitionistic fuzzy topological spaces. International Journal of Mechanical Engineering, 7(4), 1639–1649.
# Suba, M., Shanmugapriya, R., Sakthivel, K., & Suresh, M. L. (2022). On intuitionistic fuzzy M closed sets in intuitionistic fuzzy topological spaces. International Journal of Mechanical Engineering, 7(4), 1633–1638.
# Sugeno, M. (1985). An introductory survey of fuzzy control. Information Sciences, 36(1–2), 59–83.
# Thakur, S. S., & Singh, S. (1998). On fuzzy semi-pre open sets and fuzzy semi-pre continuity. Fuzzy Sets and Systems, 98(3), 383–391.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353

| citations =
| see-also =
}}

Issue:A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases

2026-04-06T08:21:26Z

Vassia Atanassova: doi

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases
| shortcut = nifs/32/1/30-39
}}
{{issue/author
| author = Veselina Bureva
| institution = Laboratory of Intelligent Systems, Burgas State University “Prof. Dr. Assen Zlatarov”
| address = 1 “Prof. Yakimov” Blvd., Burgas 8010, Bulgaria
| email-before-at = veselina-bureva
| email-after-at = uniburgas.bg
| orcid = 0000-0003-4344-4392
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Department of Bioinformatics and Mathematical Modelling,
Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
| sec-email-before-at = k.t.atanassov
| sec-email-after-at = gmail.com
| orcid = 0000-0001-5625-071X
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 30–39
| doi = https://doi.org/10.7546/nifs.2026.32.1.30-39
| file = NIFS-32-1-030-039.pdf
| format = PDF
| size = 1319
| abstract = In the current investigation, a modifying operator over temporal intuitionistic fuzzy index matrices (TIFIM) is presented. Thereafter, an example of autonomous priority-based self-managing database system using intuitionistic fuzzy logic is developed. The modifying operator is implemented for priorities updating. The priorities are changed according to three cases. In the first case, the modifying operator increases the degree of membership and decreases the degree of non-membership if the record is frequently searched. In the second case, the modifying operator decreases the degree of membership and increases the degree of non-membership if the record is rarely searched. In the third case, the modifying operator set the record priority to ⟨0,1⟩ and deleted it the record is not searched more than ''n'' days.
| keywords = Autonomous self-managing database, Dynamic priorities, Temporal intuitionistic fuzzy index matrix.
| ams = 03E72
| references =
# Abbasi, M., Bernardo, M. V., Váz, P., Silva, J., & Martins, P. (2024). Adaptive and scalable database management with machine learning integration: A PostgreSQL case study. Information, 15(9), Article 574.
# Atanassov, K. (1998). Generalized Nets in Artificial Intelligence. Volume 1: Generalized Nets and Expert Systems. “Prof. Marin Drinov” Publishing House of the Bulgarian Academy of Sciences, Sofia.
# Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer, Heidelberg.
# Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
# Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Studies in Computational Intelligence Series, Vol. 573, Springer, Cham.
# Atanassov, K. (2020). [[Issue:A generalized net model of an intuitionistic fuzzy expert system|A generalized net model of an intuitionistic fuzzy expert system]]. Notes on Intuitionistic Fuzzy Sets, 26(1), 46–68.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). [[Issue:On intuitionistic fuzzy pairs|On intuitionistic fuzzy pairs]]. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
# Avula, S. B. (2025). Oracle autonomous database for transforming database administration by harnessing artificial intelligence. In: Global Conference in Emerging Technology, Pune, India, 2025, 1–7, doi: 10.1109/GINOTECH63460.2025.11076743.
# Bureva, V., Petrov, P., Andonov, V., & Atanassov, K. (2023). Intuitionistic fuzzy evaluation of user requests frequency. In: Atanassov, K. T., et al. (Eds.) Uncertainty and Imprecision in Decision Making and Decision Support - New Advances, Challenges, and Perspectives. IWIFSGN BOS/SOR 2022. Lecture Notes in Networks and Systems, Vol. 793, pp. 15 – 21. Springer, Cham.
# Chountas, P., Atanassov, K., Sotirova, E., & Bureva, V. (2016). Generalized net model of an expert system dealing with temporal hypothesis. In: Andreasen, T., Christiansen, H., Kacprzyk, J., Larsen, H., Pasi, G., Pivert, O., De Tré, G., Vila, M. A., Yazici, A., Zadrożny, S. (Eds.) Flexible Query Answering Systems 2015. Advances in Intelligent Systems and Computing, Vol. 400, 473–481. Springer, Cham.
# Helskyaho, H., Yu, J., & Yu, K. (2021). Oracle autonomous database for machine learning. In: Machine Learning for Oracle Database Professionals, pp. 97–133. Apress, Berkeley, CA.
# Kavuluri, H., Avula, S. B., & Sirimalla, A. (2025). Performance tuning for cloud-based databases Oracle/Postgres: Analyzing query optimization techniques. Journal of Wireless Mobile Networks, 16(2), 459–475.
# Kolev, B., El-Darzi, E., Sotirova, E., Petrounias, I., Atanassov, K., Chountas, P., & Kodogiannis, V. (2006). Generalized Nets in Artificial Intelligence. Volume 3: Generalized Nets, Relation Databases and Expert Systems. “Prof. Marin Drinov” Publishing House of the Bulgarian Academy of Sciences, Sofia.
# Kossmann, J., & Schlosser, R. (2019). A framework for self-managing database systems. In: 2019 IEEE 35th International Conference on Data Engineering Workshops (ICDEW), Macao, China, pp. 100–106.
# Oloruntoba, O. (2025). AI-Driven autonomous database management: Self-tuning, predictive query optimization, and intelligent indexing in enterprise IT environments. World Journal of Advanced Research and Reviews, 25(02), 1558–1580.
# Sharma, B M., Krishnakumar, K .M. & Panda, R. (2022). Oracle Autonomous Database in Enterprise Architecture: Utilize Oracle Cloud Infrastructure Autonomous Databases for better consolidation, automation, and security. Packt Publishing, Birmingham.
# Sheikhkhoshkar, M., El-Haouzi, H., Aubry, A., Hamzeh, F., & Rahimian, F. (2025). A data-driven and knowledge-based decision support system for optimized construction planning and control. Automation in Construction, 173, Article ID 106066.

| citations =
| see-also =
}}

Issue:Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures

2026-04-06T08:21:09Z

Vassia Atanassova: doi

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures
| shortcut = nifs/32/1/15-29
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Department of Bioinformatics and Mathematical Modelling,
Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
| sec-email-before-at = k.t.atanassov
| sec-email-after-at = gmail.com
| orcid = 0000-0001-5625-071X
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 15–29
| doi = https://doi.org/10.7546/nifs.2026.32.1.15-29
| file = NIFS-32-1-015-029.pdf
| format = PDF
| size = 220
| abstract = The concept of multi-dimensional modal topological structures was introduced in the middle of 2025. One of the special forms of these structures are the intuitionistic fuzzy multi-dimensional modal topological structures. Here, we give examples of intuitionistic fuzzy multi-dimensional modal topological structures, related to extended intuitionistic fuzzy index matrices and to multi-person multi-criteria decision making procedures with intuitionistic fuzzy evaluations of the experts, who have intuitionistic fuzzy scores and use criteria having intuitionistic fuzzy evaluations.
| keywords = Intuitionistic fuzzy extended index matrix, Intuitionistic fuzzy set, Intuitionistic fuzzy multi-dimensional modal topological structure, Multi-person multi-criteria decision making procedure.
| ams = 03E72
| references =
# Atanassov, K. (2012). [[On Intuitionistic Fuzzy Sets Theory]]. Springer, Berlin.
# Atanassov, K. (2013). [[Issue:On extended intuitionistic fuzzy index matrices|On extended intuitionistic fuzzy index matrices]]. Notes on Intuitionistic Fuzzy Sets, 19(4), 27–41.
# Atanassov, K. (2014). [[Index Matrices: Towards an Augmented Matrix Calculus]]. Springer, Cham.
# Atanassov, K. (2020). [[Generalized Nets and Intuitionistic Fuzziness in Data Mining]]. “Prof. Marin Drinov” Academic Publishing House, Sofia.
# Atanassov, K. (2022). Intuitionistic fuzzy modal topological structure. Mathematics, 10, Article ID 3313.
# Atanassov, K. (2025). [[Issue:Intuitionistic fuzzy level topological structures|Intuitionistic fuzzy level topological structures]]. Notes on Intuitionistic Fuzzy Sets, 31(2), 242–252.
# Atanassov, K. (2025). Intuitionistic fuzzy multi-dimensional modal topological structures. In: Kahraman, C., et al. (Eds.) Intelligent and Fuzzy Systems. INFUS 2025. Lecture Notes in Networks and Systems, 1528, 11–21. Springer, Cham.
# Atanassov, K. (2025). Modal topological structures, index matrices and graphs through the prism of intuitionistic fuzziness. Proceedings of the 23rd International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, 17 October 2025, Warsaw, Poland, (in press).
# Atanassov, K., Pasi, G., & Yager, R. (2005). Intuitionistic fuzzy interpretations of multi-criteria multi-person and multi-measurement tool decision making. International Journal of Systems Science, 36(14), 859–868.
# Bourbaki, N. (1960). Chapitre 1: Structures Topologiques; Chapitre 2: Structures Uniformes. Éléments de mathématique, Livre III: Topologie générale (Third Edition, in French). Herman, Paris.

| citations =
| see-also =
}}

Issue:Invariant intuitionistic fuzzy observables

2026-04-06T08:20:10Z

Vassia Atanassova: doi

Notes on Intuitionistic Fuzzy Sets/32/1

2026-03-25T08:24:45Z

Vassia Atanassova:

<noinclude>'''[[Notes on Intuitionistic Fuzzy Sets]], [[Notes on Intuitionistic Fuzzy Sets/32|Volume 32 (2026)]], Number 1.'''

== Journal contents ==</noinclude>

: ''Volume opened: 15 January 2026 '' 
:

{{journal-contents/header}}
{{journal-contents/row
|number = 1
|title = [[Issue:Invariant intuitionistic fuzzy observables|Invariant intuitionistic fuzzy observables]]
|authors = [[Katarína Čunderlíková]]
|pages = 1–14
}}
{{journal-contents/row
|number = 2
|title = [[Issue:Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures|Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures]]
|authors = [[Krassimir Atanassov]]
|pages = 15–29
}}
{{journal-contents/row
|number = 3
|title = [[Issue:A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases|A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases]]
|authors = [[Veselina Bureva]] and [[Krassimir Atanassov]]
|pages = 30–39
}}
{{journal-contents/row
|number = 4
|title = [[Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces|A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces]]
|authors = [[G. Saravanakumar]] and [[K. A. Venkatesan]]
|pages = 40–50
}}
{{journal-contents/row
|number = 5
|title = [[Issue:Operators on circular interval-valued intuitionistic fuzzy sets|Operators on circular interval-valued intuitionistic fuzzy sets]]
|authors = [[P. Gajalaxmi]], [[D. Jayanthi]] and [[M. Priyadharshini]]
|pages = 51–67
}}
{{journal-contents/row
|number = 6
|title = [[Issue:Rational divergence measures on intuitionistic fuzzy sets|Rational divergence measures on intuitionistic fuzzy sets]]
|authors = [[Vladimír Kobza]]
|pages = 68–87
}}
{{journal-contents/row
|number = 7
|title = TBA
|authors =
|pages =
}}
{{journal-contents/footer}}<noinclude>
This issue of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP7-1/2025.

Bulgarian National Science Fund bears no liability for the content of the published materials.

[[Category:Notes on IFS|31]]
</noinclude>

File:NIFS-32-1-068-087.pdf

2026-03-25T08:19:26Z

Vassia Atanassova: == Summary == {{upload | description = Rational divergence measures on intuitionistic fuzzy sets | author = Vladimír Kobza | source = Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1, pages 68-87 | date = 2026 | license = Creative Commons Attribution (CC BY 4.0) | other-version = }} Category:PDF files

== Summary ==
{{upload
| description = [[Issue:Rational divergence measures on intuitionistic fuzzy sets|Rational divergence measures on intuitionistic fuzzy sets]]
| author = [[Vladimír Kobza]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 68-87
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
| other-version =
}}

[[Category:PDF files]]

Issue:Nifs/32/1/68-87

2026-03-25T08:11:48Z

Vassia Atanassova: Redirected page to Issue:Rational divergence measures on intuitionistic fuzzy sets

#redirect [[Issue:Rational divergence measures on intuitionistic fuzzy sets]]

Issue:Rational divergence measures on intuitionistic fuzzy sets

2026-03-25T08:11:32Z

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = Rational divergence measures on intuitionistic fuzzy sets | shortcut = nifs/32/1/68-87 }} {{issue/author | author = Vladimír Kobza | institution = Department of Mathematics, Matej Bel University in Banská Bystrica | address = Tajov..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = Rational divergence measures on intuitionistic fuzzy sets
| shortcut = nifs/32/1/68-87
}}
{{issue/author
| author = Vladimír Kobza
| institution = Department of Mathematics, Matej Bel University in Banská Bystrica
| address = Tajovského 40, 974 01 Banská Bystrica, Slovakia
| email-before-at = vladimir.kobza
| email-after-at = umb.sk
| orcid = 0000-0002-2466-5563
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 68–87
| doi = https://doi.org/10.7546/nifs.32.1.68-87
| file = NIFS-32-1-068-087.pdf
| format = PDF
| size = 256
| abstract = This paper investigates the theoretical foundations and practical applications of rational divergence measures within the framework of fuzzy set theory. Unlike traditional distance metrics, rational divergence measures are characterized by their functional form, typically expressed as a ratio of membership functions or set cardinalities, which allows for a more nuanced quantification of the "informational gap" between fuzzy sets.

The study explores the axiomatic properties of these measures, focusing on their ability to handle non-linearity and uncertainty in complex data structures. By examining rational forms of divergence, such as those derived from the Jaccard-like ratios or specialized f-divergences, this work demonstrates how these measures overcome the limitations of standard Euclidean distances in high-dimensional fuzzy spaces. Key emphasis is placed on their role in multi-criteria decision-making (MCDM) and pattern recognition, where the rational expression of divergence provides a more stable and intuitive measure of dissimilarity.

Furthermore, the paper provides a comparative analysis of different rational divergence formulations, evaluating their sensitivity to membership fluctuations and their performance in clustering algorithms. The results suggest that rational divergence measures offer superior discriminative power, making them a tool for modeling expert knowledge and imprecise information in modern intelligent systems.

Many authors investigated the possibilities how two fuzzy sets can be compared. The basic study of fuzzy sets theory was introduced by Lotfi Zadeh in 1965. We discuss the divergences defined on more general objects, namely intuitionistic fuzzy sets (IFSs). We have focused on special class of divergences, since some restriction conditions are necessary. This approach to the divergence measure is motivated by class of the rational similarity measures between fuzzy subsets expressed using some set operations (namely intersection, complement, difference, and symmetric difference) and their scalar cardinalities. In this study, we have considered the value of divergence between IFSs as a Σ-count of two scalar cardinalities, i.e. as a pair of real numbers.
| keywords = Intuitionistic fuzzy set, Divergence measure, Local property, Rational similarity measure.
| ams = 03B52.
| references =
# Anthony, M., & Hammer, P. L. (2006). A Boolean measure of similarity. Discrete Applied Mathematics, 154(16), 2242–2246.
# Ashraf, S., & Rashid, T. (2010). Fuzzy Similarity Measures. LAP LAMBERT Academic Publishing.
# Atanassov, K. T. (1983). Intuitionistic fuzzy sets. VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted in: Int. J. Bioautomation, 2016, 20(S1), S1–S6. (in English).
# Bouchon-Meunier, B., Rifqi, M., & Bothorel, S. (1996). Towards general measures of comparison of objects. Fuzzy Sets and Systems, 84, 143–153.
# Couso, I., Garrido, L., & Sanchez, L. (2013). Similarity and dissimilarity measures between fuzzy sets: A formal relational study. Information Sciences, 229, 122–141.
# De Baets, B., De Meyer, H., & Naessens, H. (2001). A class of rational cardinality-based similarity measures. The Journal of Computational and Applied Mathematics, 132, 51–69.
# De Baets, B., Janssens, S., & De Meyer, H. (2009). On the transitivity of a parametric family of cardinality-based similarity measures. Journal of Approximate Reasoning, 50, 104–116.
# De Luca, A., & Termini, S. (1972). A definition of a non-probabilistic entropy in the setting of Fuzzy Set Theory. Information and Control, 20, 301–312.
# Kobza, V. (2017). Divergence measure between fuzzy sets using cardinality. Kybernetika, 53(3), 418–436.
# Kobza, V. (2022). [[Issue:Divergence measures on intuitionistic fuzzy sets|Divergence measures on intuitionistic fuzzy sets]]. Notes on Intuitionistic Fuzzy Sets, 28(4), 413–427.
# Kobza, V., Janis, V. & Montes, S. (2017). Generalizated local divergence measures. Journal of Intelligent & Fuzzy Systems, 33, 337–350.
# Lui, X. (1992). Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets and Systems, 52, 305–318.
# Montes, S. (1998). Partitions and Divergence Measures in Fuzzy Models. [Doctoral Dissertation, University of Oviedo, Spain].
# Montes, S., Couso, I., Gil, P. & Bertoluzza, C. (2002). Divergence measure between fuzzy sets. International Journal of Approximate Reasoning, 30, 91–105.
# Papakostas, G. A., Hatzimichailidis, A. G. & Kaburlasos, V. G. (2013). Distance and similarity measures between intuitionistic fuzzy sets: A comparative analysis from a pattern recognition point of view. Pattern Recognition Letters, 34(14), 1609–1622.
# Szmidt, E. & Kacprzyk, J. (2000). Distances between intuitionistic fuzzy sets. Fuzzy Sets and Systems, 114(3), 505–518.
# Szmidt, E. (2014). Distances and Similarities in Intuitionistic Fuzzy Sets. Studies in Fuzziness and Soft Computing, Vol. 307, Springer, Cham.
# Wang, W. & Xin, X. (2005). Distance measure between intuitionistic fuzzy sets. Pattern Recognition Letters, 26, 2063–2069.
# Xu, Z. & Xia, M. (2011). Distance and similarity measures for hesitant fuzzy sets. Information Sciences, 181, 2128–2138.
# Zadeh, L. (2014). A note on similarity-based definitions of possibility and probability. Information Sciences, 267, 334–336.
# Zhang, C. & Fu, H. (2006). Similarity measures on three kinds of fuzzy sets. Pattern Recognition Letters, 27(2), 1307–1317.

| citations =
| see-also =
}}

Notes on Intuitionistic Fuzzy Sets/32/1

2026-03-25T08:02:51Z

Vassia Atanassova:

<noinclude>'''[[Notes on Intuitionistic Fuzzy Sets]], [[Notes on Intuitionistic Fuzzy Sets/32|Volume 32 (2026)]], Number 1.'''

== Journal contents ==</noinclude>

: ''Volume opened: 15 January 2026 '' 
:

{{journal-contents/header}}
{{journal-contents/row
|number = 1
|title = [[Issue:Invariant intuitionistic fuzzy observables|Invariant intuitionistic fuzzy observables]]
|authors = [[Katarína Čunderlíková]]
|pages = 1–14
}}
{{journal-contents/row
|number = 2
|title = [[Issue:Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures|Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures]]
|authors = [[Krassimir Atanassov]]
|pages = 15–29
}}
{{journal-contents/row
|number = 3
|title = [[Issue:A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases|A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases]]
|authors = [[Veselina Bureva]] and [[Krassimir Atanassov]]
|pages = 30–39
}}
{{journal-contents/row
|number = 4
|title = [[Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces|A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces]]
|authors = [[G. Saravanakumar]] and [[K. A. Venkatesan]]
|pages = 40–50
}}
{{journal-contents/row
|number = 5
|title = [[Issue:Operators on circular interval-valued intuitionistic fuzzy sets|Operators on circular interval-valued intuitionistic fuzzy sets]]
|authors = [[P. Gajalaxmi]], [[D. Jayanthi]] and [[M. Priyadharshini]]
|pages = 51–67
}}
{{journal-contents/row
|number = 6
|title = [[Issue:Rational divergence measures on intuitionistic fuzzy sets|Rational divergence measures on intuitionistic fuzzy sets]]
|authors = [[Vladimír Kobza]]
|pages = 68–87
}}

{{journal-contents/row
|number = 7
|title = TBA
|authors =
|pages =
}}
{{journal-contents/footer}}<noinclude>
This issue of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP7-1/2025.

Bulgarian National Science Fund bears no liability for the content of the published materials.

[[Category:Notes on IFS|31]]
</noinclude>

File:NIFS-31-4-427-440.pdf

2026-03-22T18:59:40Z

Vassia Atanassova: Vassia Atanassova uploaded a new version of File:NIFS-31-4-427-440.pdf

== Summary ==
{{upload
| description = [[Issue:Intuitionistic fuzzy interpretation of a classical formula|Intuitionistic fuzzy interpretation of a classical formula]]
| author = [[Krassimir Atanassov]], [[Nora Angelova]], [[Janusz Kacprzyk]]
| source = [[Notes on Intuitionistic Fuzzy Sets/31/4|Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 4]], pages 427-440
| date = 2025
| license = Creative Commons Attribution (CC BY 4.0)
| other-version =
}}

[[Category:PDF files]]

MediaWiki:Sitenotice

2026-03-22T00:44:41Z

Vassia Atanassova:

<div style="padding:1em;background-color:#FFFAF0;"><center>'''As of June 2025, International Journal "[[Notes on Intuitionistic Fuzzy Sets|Notes on Intuitionistic Fuzzy Sets]]" has been assigned SJR = 0.258 and Scopus quartile Q3.''' 
Please check our [[Notes on Intuitionistic Fuzzy Sets/Policy|Instructions to Authors]] and send your manuscripts to [mailto:nifs.journal@gmail.com nifs.journal@gmail.com].</center></div>
-----------
<div style="padding:1em; background-color:#F0F8FF;"><center>'''Open Call for Papers:''' [[ICIFS-2026|29th International Conference on Intuitionistic Fuzzy Sets]] • 6–7 November 2026 • Sofia, Bulgaria / Online '''Deadline for submissions: 15 May 2026.'''<div>

ICIFS-2026

2026-03-22T00:44:17Z

Vassia Atanassova:

{| width ="100%" |
|- valign="medium"
| <div align="center" style="font-size: 175%;">
'''29th International Conference on Intuitionistic Fuzzy Sets''' 6–7 November 2026 &bullet; Sofia, Bulgaria / Online</div>
<div align="center" style="font-size: 115%;">
</div>
|}
{| style="float:right; width: 250px; background-color:#F6FFF6; margin-left:.5em; margin-top:.5em; padding: .5em; border:1px dotted;"
| [[Image:ICIFS-logo.gif|center|240px]] 
<center> '''Since 2013 ICIFS has been an [https://eusflat.org/eusflat-and-endorsed-events-calendar/ EUSFLAT ENDORSED EVENT]''' </center>
[[File:EUSFLAT-logo-1.gif|center|200px]]
[[File:EUSFLAT-logo-2.gif|center|200px]] 
<div style="text-align:center; font-size:125%; font-weight:bold;">Important dates</div>
-------
; '''15 May 2026'''
: Submission of manuscripts 
; '''30 June 2026'''
: Peer review process complete, notification of acceptance
; '''31 July 2026'''
: Submission of revised versions. Payment of early conference fees
; '''1 October 2026'''
: Payment of late conference fees
; '''6–7 November 2026'''
: Conference dates
|}

== Aim and scope ==

The aim of the annual [[International Conference on Intuitionistic Fuzzy Sets]] (ICIFS) is to gather specialists interested in [[intuitionistic fuzziness]], decision making under uncertainty, and other topics related to intuitionistic fuzzy sets and logics, and to give them floor for discussions on both theoretical and practical aspects. Since 2013, ICIFS has been an [[EUSFLAT]] endorsed event.

All papers accepted for presentation at ICIFS'2026 will be published in the '''Scopus indexed Journal "[[Notes on Intuitionistic Fuzzy Sets]]" (SJR 2024 = 0.258, Scopus quartile Q3)''' and will be freely available online as Open Access under CC-BY 4.0 license.

== Conference Chairs and Committee ==

<div style="-moz-column-count: 2; column-count: 2;">
; Conference Chairs
* [[Krassimir Atanassov]] (Bulgaria)
* [[Janusz Kacprzyk]] (Poland)

; Program Committee
* [[Adrian Ban]] (Romania)
* [[Humberto Bustince]] (Spain)
* [[Oscar Castillo]] (Mexico)
* [[Panagiotis Chountas]] (United Kingdom)
* [[Gökhan Çuvalcioğlu]] (Turkey)
* [[Katarína Čunderlíková]] (Slovakia)
* [[Guy De Tre]] (Belgium)
* [[Stefan Hadjitodorov]] (Bulgaria)
* [[Cengiz Kahraman]] (Turkey)
* [[Etienne Kerre]] (Belgium)
* [[Taekyun Kim]] (Korea)
* [[Maciej Krawczak]] (Poland)
* [[Vladik Kreinovich]] (United States)
* [[Patricia Melin]] (Mexico)
* [[Said Melliani]] (Morocco)
* [[Pedro Melo-Pinto]] (Portugal)
* [[Alžbeta Michalíková]] (Slovakia)
* [[Javier Montero]] (Spain)
* [[Rangasamy Parvathi]] (India)
* [[Ketty Peeva]] (Bulgaria)
* [[Anthony Shannon]] (Australia)
* [[Sotir Sotirov]] (Bulgaria)
* [[Evdokia Sotirova]] (Bulgaria)
* [[Eulalia Szmidt]] (Poland)
* [[Sławomir Zadrożny]] (Poland)

; Organizing Committee
* [[Vassia Atanassova]] (Bulgaria)
* [[Peter Vassilev]] (Bulgaria)
* [[Ivo Umlenski]] (Bulgaria)
* Martin Georgiev (Bulgaria)
</div>

== Instructions for the Manuscripts and Presentations ==

Submissions should be up to 25 pages and '''compliant with the paper template''' of the Journal "[[Notes on Intuitionistic Fuzzy Sets]]" and the [[Notes on Intuitionistic Fuzzy Sets/Policy|Journal's Publication Ethics Policy]]. Manuscripts will be subject to rigorous peer review by two independent reviewers.

Presentations should be 15 minutes with 5 minutes for questions and answers. Links to the Zoom platform for online videoconferencing will be timely provided to the authors of the accepted conference submissions, who opt for online presentation. Presenters are '''requested to give their talk in real time''', but prepare and submit in advance '''a back-up video of their presentation''' which will be streamed in case of any technical problems at the time of their presentation.

E-mail for paper submissions and conference correspondence: <tt>icifs.office@gmail.com</tt>

== Registration ==

Registration fee includes:
* '''conference access, paper publication, certificate for presentation, shared post-conference access to the videos of all presentation''',
* '''coffee breaks, lunch and gala dinner''' — for the physically attending participants.

{| class="wikitable"
! !! Regular participants !! PhD students and EUSFLAT members
|-
| '''Early payment:''' 31 July 2026
| EUR 150.00 || EUR 90.00
|-
| '''Late payment:''' 1 October 2026
| EUR 250.00 || EUR 150.00
|-
! Note:
| colspan="2" |
* Details about bank transfer will be provided upon manuscript acceptance.
* All bank transfer fees are on behalf of the participant.
* PhD students and EUSFLAT members shall provide respective evidences for the reduced fee.
|}


== Contacts ==
* Organizer: [https://biomed.bas.bg/en/ Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences]
* Contact persons:
** Acad. Krassimir Atanassov: <tt>k.t.atanassov@gmail.com</tt>
** Assoc. Prof. Vassia Atanassova: <tt>vassia.atanassova@gmail.com </tt>
** Assoc. Prof. Peter Vassilev: <tt>peter.vassilev@gmail.com </tt>
* Conference email: <tt>icifs.office@gmail.com</tt>


[[Category:Conferences in 2026 year]]
__NOTOC__

IWIFS 2024

2026-03-18T19:11:58Z

Vassia Atanassova: /* Workshop Programme */ + links

Dear friends of intuitionistic fuzzy sets and their applications!

We cordially invite you to the Workshop on Intuitionistic Fuzzy Sets, which was founded by Prof. [[Beloslav Riečan]] in Banská Bystrica in 2005. The workshop will be held on December 13, 2024 online via platform MS Teams. The presented contributions will be published in the journal '''[[Notes on Intuitionistic Fuzzy Sets/30/4|Notes on Intuitionistic Fuzzy Sets, vol. 30, number 4]]''', which is indexed in Scopus as of August 2024. Participation in the workshop will be free of admission fees.

=== Important dates ===
; November 4, 2024 PRE-REGISTRATION
: By this date, it is necessary to pre-confirm your participation in the workshop without a contribution or with a contribution. In case of participation with a contribution, it is also necessary to send the preliminary title of the contribution.
; November 16, 2024 SUBMISSION OF PAPERS
: Papers made according to the TeX template of the journal Notes on Intuitionistic Fuzzy Sets, which is attached in the mail, should be sent by this date.
; December 13, 2024 WORKSHOP ON INTUITIONISTIC FUZZY SETS
: Pre-registration and submission of papers should be done by sending an email to cunderlikova.lendelova@gmail.com with a copy to alzbeta.michalikova@umb.sk

We are looking forward to your participation!

Sincerely Yours,

: Organizing Committee of the Workshop on Intuitionistic Fuzzy Sets:
: RNDr. Katarína Čunderlíková, PhD., MÚ SAV BB
: RNDr. Alžbeta Michalíková, PhD., KI FPV UMB BB and MÚ SAV BB

== Workshop Programme ==

{| class="wikitable" width="100%"
! BG time (CEST) !! Presenter's local time !! Author(s) / Presenter !! Paper title
|-
! 9:15-9:20 CEST ||
! colspan=3 | OPENING CEREMONY
|-
| 9:20-9:40 CEST || 10:20-10:40 EEST || '''Krassimir Atanassov''' || [[Issue:Intuitionistic fuzzy temporal operators and temporal topological structures|Intuitionistic fuzzy temporal operators and temporal topological structures]]
|-
| 9:40-10:00 CEST || 9:40-10:00 WEST || '''S. Achik''', I. Bakhadach, M. Oukessou, S. Melliani || [[Issue:Intuitionistic fuzzy Nakayama’s Lemma|Intuitionistic fuzzy Nakayama’s Lemma]]
|-
| 10:00-10:20 CEST || 14:30-14:50 IST || K. K. Myithili, '''P. Nithyadevi''' || [[Issue:Degrees and regularity of intuitionistic fuzzy semihypergraphs|Degrees and regularity of intuitionistic fuzzy semihypergraphs]]
|-
| 10:20-10:40 CEST || 14:50-15:10 IST || '''Poonam Kumar Sharma''' || [[Issue:On intuitionistic fuzzy chained modules|On intuitionistic fuzzy chained modules]]
|-
| 10:40-11:00 CEST || 10:40-11:00 WEST || H. Sadiki, K. Oufkir, '''Aziz El Ghazouani''', M’hamed Elomari || [[Issue:Solvability of an intuitionistic fuzzy fractional differential equation of second type|Solvability of an intuitionistic fuzzy fractional differential equation of second type]]
|-
! 11:00-11:10 CEST !!
! colspan=4 | COFFEE BREAK
|-
| 11:10-11:30 EEST || || '''Michaela Bruteničová''', Vladimír Janiš || [[Issue:Inclusion measure for intuitionistic fuzzy sets and embedding of intervals|Inclusion measure for intuitionistic fuzzy sets and embedding of intervals]]
|-
| 11:30-11:50 CEST || || '''Vladimír Kobza''' || [[Issue:Comparison study based on the divergence measures between intuitionistic fuzzy sets and some applications|Comparison study based on the divergence measures between intuitionistic fuzzy sets and some applications]]
|-
| 11:50-12:10 CEST || 12:50-13:10 CEST || '''Vassia Atanassova''', Peter Vassilev || Data imputation methods for InterCriteria Analysis: Whether, what and how (research in progress) ||
|-
| 12:10-12:30 CEST || 13:10-13:30 CEST || '''Peter Vassilev''', Vassia Atanassova || [[Issue:On a new expanding modal-like operator on intuitionistic fuzzy sets|On a new expanding modal-like operator on intuitionistic fuzzy sets]]
|-
| 12:30-12:45 CEST || || '''Katarína Čunderlíková''' || [[Issue:Intuitionistic fuzzy probability and two theorems from extreme value theory|Intuitionistic fuzzy probability and two theorems from extreme value theory]]
|-
! 12:45-12:50 CEST !!
! colspan=3 | CLOSING CEREMONY
|}

File:NIFS-32-1-051-067.pdf

2026-03-15T20:22:11Z

Vassia Atanassova: == Summary == {{upload | description = Operators on circular interval-valued intuitionistic fuzzy sets | author = P. Gajalaxmi, D. Jayanthi and M. Priyadharshini | source = Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1, pages 51-67 | date = 2026 | license = Creative Commons Attribution (CC BY 4.0) | other-version = }} Category:PDF files

== Summary ==
{{upload
| description = [[Issue:Operators on circular interval-valued intuitionistic fuzzy sets|Operators on circular interval-valued intuitionistic fuzzy sets]]
| author = [[P. Gajalaxmi]], [[D. Jayanthi]] and [[M. Priyadharshini]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 51-67
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
| other-version =
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[[Category:PDF files]]

Category:Publications of P. Gajalaxmi

2026-03-15T20:20:09Z

Vassia Atanassova: Created page with "''This category contains publications of P. Gajalaxmi, available on Ifigenia.'' ------- Gajalaxmi, P."

''This category contains publications of [[P. Gajalaxmi]], available on Ifigenia.''
-------
[[Category:Publications by author|Gajalaxmi, P.]]

P. Gajalaxmi

2026-03-15T20:19:54Z

Vassia Atanassova: Redirected page to Category:Publications of P. Gajalaxmi

#redirect [[:Category:Publications of P. Gajalaxmi]]

Issue:Nifs/32/1/51-67

2026-03-15T20:19:00Z

Vassia Atanassova: Redirected page to Issue:Operators on circular interval-valued intuitionistic fuzzy sets

#redirect [[Issue:Operators on circular interval-valued intuitionistic fuzzy sets]]

Issue:Operators on circular interval-valued intuitionistic fuzzy sets

2026-03-15T20:18:43Z

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = Operators on circular interval-valued intuitionistic fuzzy sets | shortcut = nifs/32/1/51-67 }} {{issue/author | author = P. Gajalaxmi | institution = Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education f..."

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| author = P. Gajalaxmi
| institution = Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women
| address = Coimbatore, Tamil Nadu, India
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{{issue/author
| author = D. Jayanthi
| institution = Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women
| address = Coimbatore, Tamil Nadu, India
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| email-after-at = avinuty.ac.in
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{{issue/author
| author = M. Priyadharshini
| institution = Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women
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{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 51–67
| doi = https://doi.org/10.7546/nifs.32.1.51-67
| file = NIFS-32-1-051-067.pdf
| format = PDF
| size = 256
| abstract = A circular interval-valued intuitionistic fuzzy set extends the concept of a circular intuitionistic fuzzy set by incorporating membership and non-membership degrees, which are represented as closed intervals with a given radius ''r'', both confined within the range [0,1]. The geometrical representation of a circular interval-valued intuitionistic fuzzy set is given. A few fundamental operators and their properties have been discussed. To develop a circular interval-valued intuitionistic fuzzy set from an interval-valued intuitionistic fuzzy set, two methods have been presented, and an instance is provided to illustrate.
| keywords = Interval-valued intuitionistic fuzzy sets, Circular interval-valued intuitionistic fuzzy sets, Circular intuitionistic fuzzy set, Operators.
| ams = 03E72, 28E10.
| references =
# Alimohammadlou, M., Alinejad, S., Khoshsepehr, Z., Safari, M., Jafari, Y., Tajodin, A., & Mohammadi, S. S. (2023). Circular intuitionistic fuzzy AHP: An application in manufacturing sector. In: Analytic hierarchy process with fuzzy sets extensions: Applications and discussions (pp. 369–394). Springer International Publishing.
# Alkan, N., & Kahraman, C. (2022). Circular intuitionistic fuzzy TOPSIS method: Pandemic hospital location selection. Journal of Intelligent & Fuzzy Systems, 42(1), 295–316.
# Alsattar, H. A., Mourad, N., Zaidan, A. A., Deveci, M., Qahtan, S., Jayaraman, V., & Khalid, Z. (2023). Developing IoT sustainable real-time monitoring devices for food supply chain systems based on climate change using circular intuitionistic fuzzy set. IEEE Internet of Things Journal, 11(16), 26680–26689.
# Ashraf, S., Chohan, M. S., Muhammad, S., & Khan, F. (2023). Circular intuitionistic fuzzy TODIM approach for material selection for cryogenic storage tank for liquid nitrogen transportation. IEEE Access, 11, 98458–98468.
# Ashraf, S., Sohail, M., Chohan, M. S., Paokanta, S., & Park, C. (2024). Higher-order circular intuitionistic fuzzy time series forecasting methodology: Application of stock change index. Demonstratio Mathematica, 57(1), Article 20230115.
# Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (2020). Circular intuitionistic fuzzy sets. Journal of Intelligent & Fuzzy Systems, 39(5), 5981–5986.
# Atanassov, K. (2021). Elliptic intuitionistic fuzzy sets. Comptes rendus de l’Academie bulgare des Sciences, 74(6), 812–819.
# Atanassov, K., & Gargov, G. (1989). Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31(3), 343–349.
# Atanassov, K., & Marinov, E. (2021). Four distances for circular intuitionistic fuzzy sets. Mathematics, 9(10), Article ID 1121.
# Boltürk, E., & Kahraman, C. (2022). Interval-valued and circular intuitionistic fuzzy present worth analyses. Informatica, 33(4), 693–711.
# Bozyiğit, M. C., & Ünver, M. (2024). Parametric circular intuitionistic fuzzy information measures and multi-criteria decision making with extended TOPSIS. Granular Computing, 9(2), Article ID 43.
# Çakır, E., \& Demircioğlu, E. (2024). Multi-criteria evaluation of battery electric vehicles via circular intuitionistic fuzzy PROMETHEE. In: IEEE 18th International Symposium on Applied Computational Intelligence and Informatics (SACI) (pp. 151–156).
# Çakır, E., & Taş, M. A. (2023). Circular intuitionistic fuzzy decision making and its application. Expert Systems with Applications, 225, Article ID 120076.
# Çaloğlu Büyükselçuk, E. (2024). Evaluation of industrial IoT service providers with TOPSIS based on circular intuitionistic fuzzy sets. Computers, Materials & Continua, 80(1), 715–746.
# Çaloğlu Büyükselçuk, E., \& Sarı, Y. C. (2023). The best whey protein powder selection via VIKOR based on circular intuitionistic fuzzy sets. Symmetry, 15(7), Article ID 1313.
# Chen, T. Y. (2023). Evolved distance measures for circular intuitionistic fuzzy sets and their exploitation in the technique for order preference by similarity to ideal solutions. Artificial Intelligence Review, 56(7), 7347–7401.
# Garg, H., Ünver, M., Olgun, M., & Türkarslan, E. (2023). An extended EDAS method with circular intuitionistic fuzzy value features and its application to multi-criteria decision-making process. Artificial Intelligence Review, 56(3), 3173–3204.
# Gorzalczany, M. B. (1987). A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets and Systems, 21(1), 1–17.
# Imanov, G., & Aliyev, A. (2021). Circular intuitionistic fuzzy sets in evaluation of human capital. Revista Cient´ıfica del Instituto Iberoamericano de Desarrollo Empresarial, 1, 1–13.
# Kahraman, C., & Alkan, N. (2021). [[Issue:Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context|Circular intuitionistic fuzzy TOPSIS method with vague membership functions: Supplier selection application context]]. Notes on Intuitionistic Fuzzy Sets, 27(1), 24–52.
# Kahraman, C., & Otay, I. (2022). Extension of VIKOR method using circular intuitionistic fuzzy sets. In: Intelligent and Fuzzy Techniques for Emerging Conditions and Digital Transformation: Proceedings of the INFUS 2021 Conference (Vol. 2, pp. 48–57). Springer International Publishing.
# Khan, M. J., Kumam, W., & Alreshidi, N. A. (2022). Divergence measures for circular intuitionistic fuzzy sets and their applications. Engineering Applications of Artificial Intelligence, 116, Article ID 105455.
# Otay, I., & Kahraman, C. (2022). A novel circular intuitionistic fuzzy AHP & VIKOR methodology: An application to a multi-expert supplier evaluation problem. Pamukkale Universitesi Muhendislik Bilimleri Dergisi ¨ , 28(1), 194–207.
# Turksen, I. B. (1996). Interval-valued strict preference with Zadeh triples. Fuzzy Sets and Systems, 78, 183–195.
# Wang, J. C., & Chen, T. Y. (2024). A compromise decision-support technique with an augmented scoring function within circular intuitionistic fuzzy settings. Engineering Applications of Artificial Intelligence, 128, Article ID 107359.
# Xu, C., & Wen, Y. (2023). New measure of circular intuitionistic fuzzy sets and its application in decision making. AIMS Mathematics, 8(10), 24053–24074.
# Yusoff, B., Pratama, D., Kilicman, A., & Abdullah, L. (2023). Circular intuitionistic fuzzy ELECTRE III model for group decision analysis. Informatica, 34(4), 881–908.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.

| citations =
| see-also =
}}

Notes on Intuitionistic Fuzzy Sets/32/1

2026-03-15T20:08:27Z

Vassia Atanassova: 51-67

<noinclude>'''[[Notes on Intuitionistic Fuzzy Sets]], [[Notes on Intuitionistic Fuzzy Sets/32|Volume 32 (2026)]], Number 1.'''

== Journal contents ==</noinclude>

: ''Volume opened: 15 January 2026 '' 
:

{{journal-contents/header}}
{{journal-contents/row
|number = 1
|title = [[Issue:Invariant intuitionistic fuzzy observables|Invariant intuitionistic fuzzy observables]]
|authors = [[Katarína Čunderlíková]]
|pages = 1–14
}}
{{journal-contents/row
|number = 2
|title = [[Issue:Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures|Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures]]
|authors = [[Krassimir Atanassov]]
|pages = 15–29
}}
{{journal-contents/row
|number = 3
|title = [[Issue:A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases|A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases]]
|authors = [[Veselina Bureva]] and [[Krassimir Atanassov]]
|pages = 30–39
}}
{{journal-contents/row
|number = 4
|title = [[Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces|A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces]]
|authors = [[G. Saravanakumar]] and [[K. A. Venkatesan]]
|pages = 40–50
}}
{{journal-contents/row
|number = 5
|title = [[Issue:Operators on circular interval-valued intuitionistic fuzzy sets|Operators on circular interval-valued intuitionistic fuzzy sets]]
|authors = [[P. Gajalaxmi]], [[D. Jayanthi]] and [[M. Priyadharshini]]
|pages = 51–67
}}

{{journal-contents/row
|number = 6
|title = TBA
|authors =
|pages =
}}
{{journal-contents/footer}}<noinclude>
This issue of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP7-1/2025.

Bulgarian National Science Fund bears no liability for the content of the published materials.

[[Category:Notes on IFS|31]]
</noinclude>

Category:Publications of G. Saravanakumar

2026-03-13T08:25:04Z

Vassia Atanassova: Created page with "''This category contains publications of G. Saravanakumar, available on Ifigenia.'' --------- Saravanakumar, G."

''This category contains publications of [[G. Saravanakumar]], available on Ifigenia.''
---------

[[Category:Publications by author|Saravanakumar, G.]]

Category:Publications of K. A. Venkatesan

2026-03-13T08:24:55Z

Vassia Atanassova: Created page with "''This category contains publications of K. A. Venkatesan, available on Ifigenia.'' --------- Venkatesan, K. A."

''This category contains publications of [[K. A. Venkatesan]], available on Ifigenia.''
---------

[[Category:Publications by author|Venkatesan, K. A.]]

G. Saravanakumar

2026-03-13T08:24:22Z

Vassia Atanassova: Redirected page to Category:Publications of G. Saravanakumar

#redirect [[:Category:Publications of G. Saravanakumar]]

K. A. Venkatesan

2026-03-13T08:24:16Z

Vassia Atanassova: Redirected page to Category:Publications of K. A. Venkatesan

#redirect [[:Category:Publications of K. A. Venkatesan]]

Issue:A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases

2026-03-13T07:41:12Z

Vassia Atanassova: ⟨0,1⟩

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases
| shortcut = nifs/32/1/30-39
}}
{{issue/author
| author = Veselina Bureva
| institution = Laboratory of Intelligent Systems, Burgas State University “Prof. Dr. Assen Zlatarov”
| address = 1 “Prof. Yakimov” Blvd., Burgas 8010, Bulgaria
| email-before-at = veselina-bureva
| email-after-at = uniburgas.bg
| orcid = 0000-0003-4344-4392
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Department of Bioinformatics and Mathematical Modelling,
Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
| sec-email-before-at = k.t.atanassov
| sec-email-after-at = gmail.com
| orcid = 0000-0001-5625-071X
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 30–39
| doi = https://doi.org/10.7546/nifs.32.1.30-39
| file = NIFS-32-1-030-039.pdf
| format = PDF
| size = 1319
| abstract = In the current investigation, a modifying operator over temporal intuitionistic fuzzy index matrices (TIFIM) is presented. Thereafter, an example of autonomous priority-based self-managing database system using intuitionistic fuzzy logic is developed. The modifying operator is implemented for priorities updating. The priorities are changed according to three cases. In the first case, the modifying operator increases the degree of membership and decreases the degree of non-membership if the record is frequently searched. In the second case, the modifying operator decreases the degree of membership and increases the degree of non-membership if the record is rarely searched. In the third case, the modifying operator set the record priority to ⟨0,1⟩ and deleted it the record is not searched more than ''n'' days.
| keywords = Autonomous self-managing database, Dynamic priorities, Temporal intuitionistic fuzzy index matrix.
| ams = 03E72
| references =
# Abbasi, M., Bernardo, M. V., Váz, P., Silva, J., & Martins, P. (2024). Adaptive and scalable database management with machine learning integration: A PostgreSQL case study. Information, 15(9), Article 574.
# Atanassov, K. (1998). Generalized Nets in Artificial Intelligence. Volume 1: Generalized Nets and Expert Systems. “Prof. Marin Drinov” Publishing House of the Bulgarian Academy of Sciences, Sofia.
# Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer, Heidelberg.
# Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
# Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Studies in Computational Intelligence Series, Vol. 573, Springer, Cham.
# Atanassov, K. (2020). [[Issue:A generalized net model of an intuitionistic fuzzy expert system|A generalized net model of an intuitionistic fuzzy expert system]]. Notes on Intuitionistic Fuzzy Sets, 26(1), 46–68.
# Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). [[Issue:On intuitionistic fuzzy pairs|On intuitionistic fuzzy pairs]]. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
# Avula, S. B. (2025). Oracle autonomous database for transforming database administration by harnessing artificial intelligence. In: Global Conference in Emerging Technology, Pune, India, 2025, 1–7, doi: 10.1109/GINOTECH63460.2025.11076743.
# Bureva, V., Petrov, P., Andonov, V., & Atanassov, K. (2023). Intuitionistic fuzzy evaluation of user requests frequency. In: Atanassov, K. T., et al. (Eds.) Uncertainty and Imprecision in Decision Making and Decision Support - New Advances, Challenges, and Perspectives. IWIFSGN BOS/SOR 2022. Lecture Notes in Networks and Systems, Vol. 793, pp. 15 – 21. Springer, Cham.
# Chountas, P., Atanassov, K., Sotirova, E., & Bureva, V. (2016). Generalized net model of an expert system dealing with temporal hypothesis. In: Andreasen, T., Christiansen, H., Kacprzyk, J., Larsen, H., Pasi, G., Pivert, O., De Tré, G., Vila, M. A., Yazici, A., Zadrożny, S. (Eds.) Flexible Query Answering Systems 2015. Advances in Intelligent Systems and Computing, Vol. 400, 473–481. Springer, Cham.
# Helskyaho, H., Yu, J., & Yu, K. (2021). Oracle autonomous database for machine learning. In: Machine Learning for Oracle Database Professionals, pp. 97–133. Apress, Berkeley, CA.
# Kavuluri, H., Avula, S. B., & Sirimalla, A. (2025). Performance tuning for cloud-based databases Oracle/Postgres: Analyzing query optimization techniques. Journal of Wireless Mobile Networks, 16(2), 459–475.
# Kolev, B., El-Darzi, E., Sotirova, E., Petrounias, I., Atanassov, K., Chountas, P., & Kodogiannis, V. (2006). Generalized Nets in Artificial Intelligence. Volume 3: Generalized Nets, Relation Databases and Expert Systems. “Prof. Marin Drinov” Publishing House of the Bulgarian Academy of Sciences, Sofia.
# Kossmann, J., & Schlosser, R. (2019). A framework for self-managing database systems. In: 2019 IEEE 35th International Conference on Data Engineering Workshops (ICDEW), Macao, China, pp. 100–106.
# Oloruntoba, O. (2025). AI-Driven autonomous database management: Self-tuning, predictive query optimization, and intelligent indexing in enterprise IT environments. World Journal of Advanced Research and Reviews, 25(02), 1558–1580.
# Sharma, B M., Krishnakumar, K .M. & Panda, R. (2022). Oracle Autonomous Database in Enterprise Architecture: Utilize Oracle Cloud Infrastructure Autonomous Databases for better consolidation, automation, and security. Packt Publishing, Birmingham.
# Sheikhkhoshkar, M., El-Haouzi, H., Aubry, A., Hamzeh, F., & Rahimian, F. (2025). A data-driven and knowledge-based decision support system for optimized construction planning and control. Automation in Construction, 173, Article ID 106066.

| citations =
| see-also =
}}

Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces

2026-03-13T07:38:01Z

Vassia Atanassova:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = A variety of functions concerning intuitionistic fuzzy ''M''-clopen sets in intuitionistic fuzzy topological spaces
| shortcut = nifs/32/1/40-50
}}
{{issue/author
| author = G. Saravanakumar
| institution = Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University)
| address = Avadi, Chennai-600062, India
| email-before-at = saravananguru2612
| email-after-at = gmail.com
}}
{{issue/author
| author = K. A. Venkatesan
| institution = Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University)
| address = Avadi, Chennai-600062, India
| email-before-at = venkimaths1975
| email-after-at = gmail.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 40–50
| doi = https://doi.org/10.7546/nifs.32.1.40-50
| file = NIFS-32-1-040-050.pdf
| format = PDF
| size = 199
| abstract = This paper introduces a novel class of mappings: slightly intuitionistic fuzzy ''M''-continuous functions, intuitionistic fuzzy totally ''M''-continuous functions, and intuitionistic fuzzy ''M''-totally continuous functions, utilizing intuitionistic fuzzy ''M'' clopen sets. We examine the topological properties and characterizations of these mappings, explore the relationships between these new sets and existing sets in intuitionistic fuzzy topological spaces, and provide examples to illustrate the concepts.
| keywords = Intuitionistic fuzzy topological spaces, Slightly intuitionistic fuzzy ''M'' continuous functions, Intuitionistic fuzzy totally ''M''-continuous functions, Intuitionistic fuzzy ''M''-totally continuous functions.
| ams = 54A40, 54A99, 03E72, 03E99.
| references =
# Atanassov, K. (1983). Atanassov K. T. Intuitionistic Fuzzy Sets. VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: International Journal Bioautomation, 2016, 20(S1), S1–S6.
# Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag, Heidelberg, New York.
# Atanassov, K., & Stoeva, S. (1983). Intuitionistic fuzzy sets. Polish Symposium on Interval and Fuzzy Mathematics, Poznan, 23–26.
# Caldas, M., Jafari, S., & Kovar, M. M. (2004). Some properties of θ-open sets. Divulgaciones Matematicas ´ , 12(2), 161–169.
# Çoker, D. (1996). An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics, 4, 749–764.
# Çoker, D. (1997). An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems, 88(1), 81–89.
# Çoker, D., & Demirci, M. (1996). An introduction to intuitionistic fuzzy topological spaces in Šostak's sense. BUSEFAL, 67, 67–76.
# Fora, A. A. A. (2017) The number of fuzzy clopen sets in fuzzy topological spaces. Journal of Mathematical Sciences and Applications, 5(1), 24–26.
# Gurcay, H., Haydar, A., & Çoker, D. (1997) On fuzzy continuity in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics, 5(2), 365–378.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2011). M-open set in topological spaces. Pioneer Journal of Mathematics and Mathematical Sciences, 4(2), 213–308.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2013). New types of functions by M-open sets. Journal of Taibah University for Science, 7(3), 137–145.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2014). Further properties on M-continuity. Journal of Egyptian Mathematical Society, 22(1), 63–69.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2014). Some applications of M-open set in topological spaces. Journal of King Saud University-Science, 26, 261–266.
# Manimaran, A., Prakash, K. A., & Thangaraj, P. (2011). Intuitionistic fuzzy totally continuous and totally semi-continuous mappings in intuitionistic fuzzy topological spaces. International journal of Advanced Scientific and Technical Research, 2(1), 505–509.
# Mondal, T. K., & Samanta, S. K. (2002). On intuitionistic gradation of openness. Fuzzy Sets and Systems, 131(3), 323–336.
# Samanta, S. K., & Mondal, T. K. (1997). Intuitionistic gradation of openness, intuitionistic fuzzy topology. BUSEFAL, 73, 8–17.
# Smets, P. (1981). The degree of belief in a fuzzy event. Information Sciences, 25(1), 1–19.
# Sobana, D., Chandrasekar, V., & Vadivel, A. (2018). On fuzzy e-open sets, fuzzy e-continuity and fuzzy e-compactness in intuitionistic fuzzy topological spaces. Sahand Communications in Mathematical Analysis, 12(1), 131–153.
# Suba, M., Shanmugapriya, R., Sakthivel, K., & Malini, T. N. M. (2022). Several types of functions of intuitionistic fuzzy M open sets in intuitionistic fuzzy topological spaces. International Journal of Mechanical Engineering, 7(4), 1639–1649.
# Suba, M., Shanmugapriya, R., Sakthivel, K., & Suresh, M. L. (2022). On intuitionistic fuzzy M closed sets in intuitionistic fuzzy topological spaces. International Journal of Mechanical Engineering, 7(4), 1633–1638.
# Sugeno, M. (1985). An introductory survey of fuzzy control. Information Sciences, 36(1–2), 59–83.
# Thakur, S. S., & Singh, S. (1998). On fuzzy semi-pre open sets and fuzzy semi-pre continuity. Fuzzy Sets and Systems, 98(3), 383–391.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353

| citations =
| see-also =
}}

File:NIFS-32-1-040-050.pdf

2026-03-13T07:37:27Z

Vassia Atanassova: == Summary == {{upload | description = Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces| | author = G. Saravanakumar and K. A. Venkatesan | source = Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1, pages 40-50 | date = 2026 | license = Creative Commons Attribution (CC BY 4.0) | other-version = }} Category:PDF files

== Summary ==
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| description = [[Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces|A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces]]
| author = [[G. Saravanakumar]] and [[K. A. Venkatesan]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 40-50
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Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces

2026-03-13T07:36:35Z

Vassia Atanassova: 40-50

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = A variety of functions concerning intuitionistic fuzzy ''M''-clopen sets in intuitionistic fuzzy topological spaces
| shortcut = nifs/32/1/40-50
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{{issue/author
| author = G. Saravanakumar
| institution = Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University)
| address = Avadi, Chennai-600062, India
| email-before-at = saravananguru2612
| email-after-at = gmail.com
}}
{{issue/author
| author = K. A. Venkatesan
| institution = Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University)
| address = Avadi, Chennai-600062, India
| email-before-at = venkimaths1975
| email-after-at = gmail.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 40–50
| doi = https://doi.org/10.7546/nifs.32.1.40-50
| file = NIFS-32-1-040-50.pdf
| format = PDF
| size = 199
| abstract = This paper introduces a novel class of mappings: slightly intuitionistic fuzzy ''M''-continuous functions, intuitionistic fuzzy totally ''M''-continuous functions, and intuitionistic fuzzy ''M''-totally continuous functions, utilizing intuitionistic fuzzy ''M'' clopen sets. We examine the topological properties and characterizations of these mappings, explore the relationships between these new sets and existing sets in intuitionistic fuzzy topological spaces, and provide examples to illustrate the concepts.
| keywords = Intuitionistic fuzzy topological spaces, Slightly intuitionistic fuzzy ''M'' continuous functions, Intuitionistic fuzzy totally ''M''-continuous functions, Intuitionistic fuzzy ''M''-totally continuous functions.
| ams = 54A40, 54A99, 03E72, 03E99.
| references =
# Atanassov, K. (1983). Atanassov K. T. Intuitionistic Fuzzy Sets. VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: International Journal Bioautomation, 2016, 20(S1), S1–S6.
# Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag, Heidelberg, New York.
# Atanassov, K., & Stoeva, S. (1983). Intuitionistic fuzzy sets. Polish Symposium on Interval and Fuzzy Mathematics, Poznan, 23–26.
# Caldas, M., Jafari, S., & Kovar, M. M. (2004). Some properties of θ-open sets. Divulgaciones Matematicas ´ , 12(2), 161–169.
# Çoker, D. (1996). An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics, 4, 749–764.
# Çoker, D. (1997). An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems, 88(1), 81–89.
# Çoker, D., & Demirci, M. (1996). An introduction to intuitionistic fuzzy topological spaces in Šostak's sense. BUSEFAL, 67, 67–76.
# Fora, A. A. A. (2017) The number of fuzzy clopen sets in fuzzy topological spaces. Journal of Mathematical Sciences and Applications, 5(1), 24–26.
# Gurcay, H., Haydar, A., & Çoker, D. (1997) On fuzzy continuity in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics, 5(2), 365–378.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2011). M-open set in topological spaces. Pioneer Journal of Mathematics and Mathematical Sciences, 4(2), 213–308.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2013). New types of functions by M-open sets. Journal of Taibah University for Science, 7(3), 137–145.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2014). Further properties on M-continuity. Journal of Egyptian Mathematical Society, 22(1), 63–69.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2014). Some applications of M-open set in topological spaces. Journal of King Saud University-Science, 26, 261–266.
# Manimaran, A., Prakash, K. A., & Thangaraj, P. (2011). Intuitionistic fuzzy totally continuous and totally semi-continuous mappings in intuitionistic fuzzy topological spaces. International journal of Advanced Scientific and Technical Research, 2(1), 505–509.
# Mondal, T. K., & Samanta, S. K. (2002). On intuitionistic gradation of openness. Fuzzy Sets and Systems, 131(3), 323–336.
# Samanta, S. K., & Mondal, T. K. (1997). Intuitionistic gradation of openness, intuitionistic fuzzy topology. BUSEFAL, 73, 8–17.
# Smets, P. (1981). The degree of belief in a fuzzy event. Information Sciences, 25(1), 1–19.
# Sobana, D., Chandrasekar, V., & Vadivel, A. (2018). On fuzzy e-open sets, fuzzy e-continuity and fuzzy e-compactness in intuitionistic fuzzy topological spaces. Sahand Communications in Mathematical Analysis, 12(1), 131–153.
# Suba, M., Shanmugapriya, R., Sakthivel, K., & Malini, T. N. M. (2022). Several types of functions of intuitionistic fuzzy M open sets in intuitionistic fuzzy topological spaces. International Journal of Mechanical Engineering, 7(4), 1639–1649.
# Suba, M., Shanmugapriya, R., Sakthivel, K., & Suresh, M. L. (2022). On intuitionistic fuzzy M closed sets in intuitionistic fuzzy topological spaces. International Journal of Mechanical Engineering, 7(4), 1633–1638.
# Sugeno, M. (1985). An introductory survey of fuzzy control. Information Sciences, 36(1–2), 59–83.
# Thakur, S. S., & Singh, S. (1998). On fuzzy semi-pre open sets and fuzzy semi-pre continuity. Fuzzy Sets and Systems, 98(3), 383–391.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353

| citations =
| see-also =
}}

Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces

2026-03-13T07:35:51Z

Vassia Atanassova:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = A variety of functions concerning intuitionistic fuzzy ''M''-clopen sets in intuitionistic fuzzy topological spaces
| shortcut = nifs/32/1/40-50
}}
{{issue/author
| author = G. Saravanakumar
| institution = Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University)
| address = Avadi, Chennai-600062, India
| email-before-at = saravananguru2612
| email-after-at = gmail.com
}}
{{issue/author
| author = K. A. Venkatesan
| institution = Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University)
| address = Avadi, Chennai-600062, India
| email-before-at = venkimaths1975
| email-after-at = gmail.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 30–39
| doi = https://doi.org/10.7546/nifs.32.1.30-39
| file = NIFS-32-1-030-039.pdf
| format = PDF
| size = 1319
| abstract = This paper introduces a novel class of mappings: slightly intuitionistic fuzzy ''M''-continuous functions, intuitionistic fuzzy totally ''M''-continuous functions, and intuitionistic fuzzy ''M''-totally continuous functions, utilizing intuitionistic fuzzy ''M'' clopen sets. We examine the topological properties and characterizations of these mappings, explore the relationships between these new sets and existing sets in intuitionistic fuzzy topological spaces, and provide examples to illustrate the concepts.
| keywords = Intuitionistic fuzzy topological spaces, Slightly intuitionistic fuzzy ''M'' continuous functions, Intuitionistic fuzzy totally ''M''-continuous functions, Intuitionistic fuzzy ''M''-totally continuous functions.
| ams = 54A40, 54A99, 03E72, 03E99.
| references =
# Atanassov, K. (1983). Atanassov K. T. Intuitionistic Fuzzy Sets. VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: International Journal Bioautomation, 2016, 20(S1), S1–S6.
# Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag, Heidelberg, New York.
# Atanassov, K., & Stoeva, S. (1983). Intuitionistic fuzzy sets. Polish Symposium on Interval and Fuzzy Mathematics, Poznan, 23–26.
# Caldas, M., Jafari, S., & Kovar, M. M. (2004). Some properties of θ-open sets. Divulgaciones Matematicas ´ , 12(2), 161–169.
# Çoker, D. (1996). An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics, 4, 749–764.
# Çoker, D. (1997). An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems, 88(1), 81–89.
# Çoker, D., & Demirci, M. (1996). An introduction to intuitionistic fuzzy topological spaces in Šostak's sense. BUSEFAL, 67, 67–76.
# Fora, A. A. A. (2017) The number of fuzzy clopen sets in fuzzy topological spaces. Journal of Mathematical Sciences and Applications, 5(1), 24–26.
# Gurcay, H., Haydar, A., & Çoker, D. (1997) On fuzzy continuity in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics, 5(2), 365–378.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2011). M-open set in topological spaces. Pioneer Journal of Mathematics and Mathematical Sciences, 4(2), 213–308.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2013). New types of functions by M-open sets. Journal of Taibah University for Science, 7(3), 137–145.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2014). Further properties on M-continuity. Journal of Egyptian Mathematical Society, 22(1), 63–69.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2014). Some applications of M-open set in topological spaces. Journal of King Saud University-Science, 26, 261–266.
# Manimaran, A., Prakash, K. A., & Thangaraj, P. (2011). Intuitionistic fuzzy totally continuous and totally semi-continuous mappings in intuitionistic fuzzy topological spaces. International journal of Advanced Scientific and Technical Research, 2(1), 505–509.
# Mondal, T. K., & Samanta, S. K. (2002). On intuitionistic gradation of openness. Fuzzy Sets and Systems, 131(3), 323–336.
# Samanta, S. K., & Mondal, T. K. (1997). Intuitionistic gradation of openness, intuitionistic fuzzy topology. BUSEFAL, 73, 8–17.
# Smets, P. (1981). The degree of belief in a fuzzy event. Information Sciences, 25(1), 1–19.
# Sobana, D., Chandrasekar, V., & Vadivel, A. (2018). On fuzzy e-open sets, fuzzy e-continuity and fuzzy e-compactness in intuitionistic fuzzy topological spaces. Sahand Communications in Mathematical Analysis, 12(1), 131–153.
# Suba, M., Shanmugapriya, R., Sakthivel, K., & Malini, T. N. M. (2022). Several types of functions of intuitionistic fuzzy M open sets in intuitionistic fuzzy topological spaces. International Journal of Mechanical Engineering, 7(4), 1639–1649.
# Suba, M., Shanmugapriya, R., Sakthivel, K., & Suresh, M. L. (2022). On intuitionistic fuzzy M closed sets in intuitionistic fuzzy topological spaces. International Journal of Mechanical Engineering, 7(4), 1633–1638.
# Sugeno, M. (1985). An introductory survey of fuzzy control. Information Sciences, 36(1–2), 59–83.
# Thakur, S. S., & Singh, S. (1998). On fuzzy semi-pre open sets and fuzzy semi-pre continuity. Fuzzy Sets and Systems, 98(3), 383–391.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353

| citations =
| see-also =
}}

Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces

2026-03-13T07:25:28Z

Vassia Atanassova:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = A variety of functions concerning intuitionistic fuzzy ''M''-clopen sets in intuitionistic fuzzy topological spaces
| shortcut = nifs/32/1/40-50
}}
{{issue/author
| author = G. Saravanakumar
| institution = Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University)
| address = Avadi, Chennai-600062, India
| email-before-at = saravananguru2612
| email-after-at = gmail.com
}}
{{issue/author
| author = K. A. Venkatesan
| institution = Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University)
| address = Avadi, Chennai-600062, India
| email-before-at = venkimaths1975
| email-after-at = gmail.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 30–39
| doi = https://doi.org/10.7546/nifs.32.1.30-39
| file = NIFS-32-1-030-039.pdf
| format = PDF
| size = 1319
| abstract = This paper introduces a novel class of mappings: slightly intuitionistic fuzzy ''M''-continuous functions, intuitionistic fuzzy totally ''M''-continuous functions, and intuitionistic fuzzy ''M''-totally continuous functions, utilizing intuitionistic fuzzy ''M'' clopen sets. We examine the topological properties and characterizations of these mappings, explore the relationships between these new sets and existing sets in intuitionistic fuzzy topological spaces, and provide examples to illustrate the concepts.
| keywords = Intuitionistic fuzzy topological spaces, Slightly intuitionistic fuzzy ''M'' continuous functions, Intuitionistic fuzzy totally ''M''-continuous functions, Intuitionistic fuzzy ''M''-totally continuous functions.
| ams = 54A40, 54A99, 03E72, 03E99.
| references =
# Atanassov, K. (1983). Atanassov K. T. Intuitionistic Fuzzy Sets. VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: International Journal Bioautomation, 2016, 20(S1), S1–S6.
# Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag, Heidelberg, New York.
# Atanassov, K., & Stoeva, S. (1983). Intuitionistic fuzzy sets. Polish Symposium on Interval and Fuzzy Mathematics, Poznan, 23–26.
# Caldas, M., Jafari, S., & Kovar, M. M. (2004). Some properties of θ-open sets. Divulgaciones Matematicas ´ , 12(2), 161–169.
# C¸ oker, D. (1996). An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics, 4, 749–764.
# C¸ oker, D. (1997). An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems, 88(1), 81–89.
# C¸ oker, D., & Demirci, M. (1996). An introduction to intuitionistic fuzzy topological spaces in Sˆostaks sense. Busefal,67, 67–76.
# Fora, A. A. A. (2017) The number of fuzzy clopen sets in fuzzy topological spaces. Journal of Mathematical Sciences and Applications, 5(1), 24–26.
# Gurcay, H., Haydar, A., & C¸ oker, D. (1997) On fuzzy continuity in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics, 5(2), 365–378.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2011). M-open set in topological spaces. Pioneer Journal of Mathematics and Mathematical Sciences, 4(2), 213–308.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2013). New types of functions by M-open sets. Journal of Taibah University for Science, 7(3), 137–145.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2014). Further properties on M-continuity. Journal of Egyptian Mathematical Society, 22(1), 63–69.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2014). Some applications of M-open set in topological spaces. Journal of King Saud University-Science, 26, 261–266.
# Manimaran, A., Prakash, K. A., & Thangaraj, P. (2011). Intuitionistic fuzzy totally continuous and totally semi-continuous mappings in intuitionistic fuzzy topological spaces. International journal of Advanced Scientific and Technical Research, 2(1), 505–509.
# Mondal, T. K., & Samanta, S. K. (2002). On intuitionistic gradation of openness. Fuzzy Sets and Systems, 131(3), 323–336.
# Samanta, S. K., & Mondal, T. K. (1997). Intuitionistic gradation of openness, intuitionistic fuzzy topology. Busefal, 73, 8–17.
# Smets, P. (1981). The degree of belief in a fuzzy event. Information Sciences, 25(1), 1–19.
# Sobana, D., Chandrasekar, V., & Vadivel, A. (2018). On fuzzy e-open sets, fuzzy e-continuity and fuzzy e-compactness in intuitionistic fuzzy topological spaces. Sahand Communications in Mathematical Analysis, 12(1), 131–153.
# Suba, M., Shanmugapriya, R., Sakthivel, K., & Malini, T. N. M. (2022). Several types of functions of intuitionistic fuzzy M open sets in intuitionistic fuzzy topological spaces. International Journal of Mechanical Engineering, 7(4), 1639–1649.
# Suba, M., Shanmugapriya, R., Sakthivel, K., & Suresh, M. L. (2022). On intuitionistic fuzzy M closed sets in intuitionistic fuzzy topological spaces. International Journal of Mechanical Engineering, 7(4), 1633–1638.
# Sugeno, M. (1985). An introductory survey of fuzzy control. Information Sciences, 36(1–2), 59–83.
# Thakur, S. S., & Singh, S. (1998). On fuzzy semi-pre open sets and fuzzy semi-pre continuity. Fuzzy Sets and Systems, 98(3), 383–391.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353

| citations =
| see-also =
}}

Issue:Nifs/32/1/40-50

2026-03-13T07:24:37Z

Vassia Atanassova: Redirected page to Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces

#redirect [[Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces]]

Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces

2026-03-13T07:24:15Z

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = A variety of functions concerning intuitionistic fuzzy ''M''-clopen sets in intuitionistic fuzzy topological spaces | shortcut = nifs/32/1/40-50 }} {{issue/author | author = G. Saravanakumar | institution = Department of Mathematics, Vel Tech..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = A variety of functions concerning intuitionistic fuzzy ''M''-clopen sets in intuitionistic fuzzy topological spaces
| shortcut = nifs/32/1/40-50
}}
{{issue/author
| author = G. Saravanakumar
| institution = Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University)
| address = Avadi, Chennai-600062, India
| email-before-at = saravananguru2612
| email-after-at = gmail.com
}}
{{issue/author
| author = K. A. Venkatesan
| institution = Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University)
| address = Avadi, Chennai-600062, India
| email-before-at = venkimaths1975
| email-after-at = gmail.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/1|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1]], pages 30–39
| doi = https://doi.org/10.7546/nifs.32.1.30-39
| file = NIFS-32-1-030-039.pdf
| format = PDF
| size = 1319
| abstract = This paper introduces a novel class of mappings: slightly intuitionistic fuzzy ''M''-continuous functions, intuitionistic fuzzy totally ''M''-continuous functions, and intuitionistic fuzzy ''M''-totally continuous functions, utilizing intuitionistic fuzzy ''M'' clopen sets. We examine the topological properties and characterizations of these mappings, explore the relationships between these new sets and existing sets in intuitionistic fuzzy topological spaces, and provide examples to illustrate the concepts.
| keywords = Intuitionistic fuzzy topological spaces, Slightly intuitionistic fuzzy ''M'' continuous functions, Intuitionistic fuzzy totally ''M''-continuous functions, Intuitionistic fuzzy ''M''-totally continuous functions.
| ams = 54A40, 54A99, 03E72, 03E99.
| references =
# Atanassov, K. (1983). Atanassov K. T. Intuitionistic Fuzzy Sets. VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: International Journal Bioautomation, 2016, 20(S1), S1–S6.
# Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications.
Springer-Verlag, Heidelberg, New York.
# Atanassov, K., & Stoeva, S. (1983). Intuitionistic fuzzy sets. Polish Symposium on Interval and Fuzzy Mathematics, Poznan, 23–26.
# Caldas, M., Jafari, S., & Kovar, M. M. (2004). Some properties of θ-open sets. Divulgaciones Matematicas ´ , 12(2), 161–169.
# C¸ oker, D. (1996). An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics, 4, 749–764.
# C¸ oker, D. (1997). An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems, 88(1), 81–89.
# C¸ oker, D., & Demirci, M. (1996). An introduction to intuitionistic fuzzy topological spaces in Sˆostaks sense. Busefal,67, 67–76.
# Fora, A. A. A. (2017) The number of fuzzy clopen sets in fuzzy topological spaces. Journal of Mathematical Sciences and Applications, 5(1), 24–26.
# Gurcay, H., Haydar, A., & C¸ oker, D. (1997) On fuzzy continuity in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics, 5(2), 365–378.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2011). M-open set in topological spaces. Pioneer Journal of Mathematics and Mathematical Sciences, 4(2), 213–308.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2013). New types of functions by M-open sets. Journal of Taibah University for Science, 7(3), 137–145.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2014). Further properties on M-continuity. Journal of Egyptian Mathematical Society, 22(1), 63–69.
# Maghrabi, A. I. E., & Al-Johany, M. A. (2014). Some applications of M-open set in topological spaces. Journal of King Saud University-Science, 26, 261–266.
# Manimaran, A., Prakash, K. A., & Thangaraj, P. (2011). Intuitionistic fuzzy totally continuous and totally semi-continuous mappings in intuitionistic fuzzy topological spaces. International journal of Advanced Scientific and Technical Research, 2(1), 505–509.
# Mondal, T. K., & Samanta, S. K. (2002). On intuitionistic gradation of openness. Fuzzy Sets and Systems, 131(3), 323–336.
# Samanta, S. K., & Mondal, T. K. (1997). Intuitionistic gradation of openness, intuitionistic fuzzy topology. Busefal, 73, 8–17.
# Smets, P. (1981). The degree of belief in a fuzzy event. Information Sciences, 25(1), 1–19.
# Sobana, D., Chandrasekar, V., & Vadivel, A. (2018). On fuzzy e-open sets, fuzzy e-continuity and fuzzy e-compactness in intuitionistic fuzzy topological spaces. Sahand Communications in Mathematical Analysis, 12(1), 131–153.
# Suba, M., Shanmugapriya, R., Sakthivel, K., & Malini, T. N. M. (2022). Several types of functions of intuitionistic fuzzy M open sets in intuitionistic fuzzy topological spaces. International Journal of Mechanical Engineering, 7(4), 1639–1649.
# Suba, M., Shanmugapriya, R., Sakthivel, K., & Suresh, M. L. (2022). On intuitionistic fuzzy M closed sets in intuitionistic fuzzy topological spaces. International Journal of Mechanical Engineering, 7(4), 1633–1638.
# Sugeno, M. (1985). An introductory survey of fuzzy control. Information Sciences, 36(1–2), 59–83.
# Thakur, S. S., & Singh, S. (1998). On fuzzy semi-pre open sets and fuzzy semi-pre continuity. Fuzzy Sets and Systems, 98(3), 383–391.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353

| citations =
| see-also =
}}

Notes on Intuitionistic Fuzzy Sets/32/1

2026-03-13T07:20:59Z

Vassia Atanassova: space

<noinclude>'''[[Notes on Intuitionistic Fuzzy Sets]], [[Notes on Intuitionistic Fuzzy Sets/32|Volume 32 (2026)]], Number 1.'''

== Journal contents ==</noinclude>

: ''Volume opened: 15 January 2026 '' 
:

{{journal-contents/header}}
{{journal-contents/row
|number = 1
|title = [[Issue:Invariant intuitionistic fuzzy observables|Invariant intuitionistic fuzzy observables]]
|authors = [[Katarína Čunderlíková]]
|pages = 1–14
}}
{{journal-contents/row
|number = 2
|title = [[Issue:Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures|Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures]]
|authors = [[Krassimir Atanassov]]
|pages = 15–29
}}
{{journal-contents/row
|number = 3
|title = [[Issue:A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases|A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases]]
|authors = [[Veselina Bureva]] and [[Krassimir Atanassov]]
|pages = 30–39
}}
{{journal-contents/row
|number = 4
|title = [[Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces|A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces]]
|authors = [[G. Saravanakumar]] and [[K. A. Venkatesan]]
|pages = 40–50
}}
{{journal-contents/row
|number = 5
|title = TBA
|authors =
|pages =
}}
{{journal-contents/footer}}<noinclude>
This issue of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP7-1/2025.

Bulgarian National Science Fund bears no liability for the content of the published materials.

[[Category:Notes on IFS|31]]
</noinclude>

Notes on Intuitionistic Fuzzy Sets/32/1

2026-03-13T07:15:47Z

Vassia Atanassova:

<noinclude>'''[[Notes on Intuitionistic Fuzzy Sets]], [[Notes on Intuitionistic Fuzzy Sets/32|Volume 32 (2026)]], Number 1.'''

== Journal contents ==</noinclude>

: ''Volume opened: 15 January 2026 '' 
:

{{journal-contents/header}}
{{journal-contents/row
|number = 1
|title = [[Issue:Invariant intuitionistic fuzzy observables|Invariant intuitionistic fuzzy observables]]
|authors = [[Katarína Čunderlíková]]
|pages = 1–14
}}
{{journal-contents/row
|number = 2
|title = [[Issue:Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures|Multi-dimensional modal topological structures, extended intuitionistic fuzzy index matrices and multi-person multi-criteria decision making procedures]]
|authors = [[Krassimir Atanassov]]
|pages = 15–29
}}
{{journal-contents/row
|number = 3
|title = [[Issue:A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases|A modifying operator for temporal intuitionistic fuzzy index matrices with an application to autonomous self-managing databases]]
|authors = [[Veselina Bureva]] and [[Krassimir Atanassov]]
|pages = 30–39
}}
{{journal-contents/row
|number = 4
|title = [[Issue:A variety of functions concerningintuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces|A variety of functions concerningintuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces]]
|authors = [[G. Saravanakumar]] and [[K. A. Venkatesan]]
|pages = 40–50
}}
{{journal-contents/row
|number = 5
|title = TBA
|authors =
|pages =
}}
{{journal-contents/footer}}<noinclude>
This issue of Int. Journal "Notes on Intuitionistic Fuzzy Sets" is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP7-1/2025.

Bulgarian National Science Fund bears no liability for the content of the published materials.

[[Category:Notes on IFS|31]]
</noinclude>