Issue:Intuitionistic fuzzy G-modules - Revision history

Vassia Atanassova: Text replacement - ""Notes on IFS", Volume " to ""Notes on Intuitionistic Fuzzy Sets", Volume "

2024-08-28T16:05:26Z

Text replacement - ""Notes on IFS", Volume " to ""Notes on Intuitionistic Fuzzy Sets", Volume "

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	\| issue = [[Notes on Intuitionistic Fuzzy Sets/21/1\|"Notes on ~~IFS~~", Volume 21, 2015, Number 1]], pages 6—23		\| 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		\| file = NIFS-21-1-06-23.pdf
	\| format = PDF		\| format = PDF

Vassia Atanassova: .com

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	\| address = Jalandhar, Punjab, India		\| address = Jalandhar, Punjab, India
	\| email-before-at = pksharma		\| email-before-at = pksharma
	\| email-after-at = davjalandhar		\| email-after-at = davjalandhar.com
	}}		}}
	{{issue/author		{{issue/author

Peter Vassilev at 08:00, 11 June 2015

2015-06-11T08:00:43Z

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	\| file = NIFS-21-1-06-23.pdf		\| file = NIFS-21-1-06-23.pdf
	\| format = PDF		\| format = PDF
	\| size = ~~146~~		\| 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.		\| 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.		\| keywords = Intuitionistic fuzzy set, Intuitionistic fuzzy G-module, (α, β)–cut set, Support, Quotient intuitionistic fuzzy G-module.

Peter Vassilev: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

2015-06-11T08:00:06Z

Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

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[[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
}}
{{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 IFS", Volume 21, 2015, Number 1]], pages 6—23
| file = NIFS-21-1-06-23.pdf
| format = PDF
| size = 146
| 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 =
}}