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NIFS/32/2

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Nifs/32/2

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File:NIFS-32-2-163-175.pdf

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Ifigenia Administrator: == Summary == {{upload | description = Issue:Effects of fuzzy and advanced fuzzy sets in mammogram image clustering| | author = Tamalika Chaira and Rita Chhikara | source = Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2, pages 163-175 | date = 2026 | license = Creative Commons Attribution (CC BY 4.0) | other-version = }} Category:PDF files

== Summary ==
{{upload
| description = [[Issue:Effects of fuzzy and advanced fuzzy sets in mammogram image clustering|Effects of fuzzy and advanced fuzzy sets in mammogram image clustering]]
| author = [[Tamalika Chaira]] and [[Rita Chhikara]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 163-175
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
| other-version =
}}

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Category:Publications of Tamalika Chaira

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Category:Publications of Rita Chhikara

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Tamalika Chaira

2026-08-31T10:01:00Z

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Rita Chhikara

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Issue:Nifs/32/2/163-175

2026-08-31T09:58:46Z

Ifigenia Administrator: Redirected page to Issue:Effects of fuzzy and advanced fuzzy sets in mammogram image clustering

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Issue:Effects of fuzzy and advanced fuzzy sets in mammogram image clustering

2026-08-31T09:58:24Z

Ifigenia Administrator: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = Effects of fuzzy and advanced fuzzy sets in mammogram image clustering | shortcut = nifs/32/2/163-175 }} {{issue/author | author = Tamalika Chaira | institution = Department of Computer Science and Engineering, South Asian University | addre..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = Effects of fuzzy and advanced fuzzy sets in mammogram image clustering
| shortcut = nifs/32/2/163-175
}}
{{issue/author
| author = Tamalika Chaira
| institution = Department of Computer Science and Engineering, South Asian University
| address = Maidan Garhi, New Delhi, India
| email-before-at = tchaira
| email-after-at = yahoo.com
| orcid = 0000-0002-8839-0423
}}
{{issue/author
| author = Rita Chhikara
| institution = Department of Computer Science and Engineering, South Asian University
| address = Maidan Garhi, New Delhi, India
| email-before-at = ritachhikara
| email-after-at = ncuindia.edu
| orcid = 0000-0001-9537-3907
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 163–175
| doi = https://doi.org/10.7546/nifs.2026.32.2.163-175
| file = NIFS-32-2-163-175.pdf
| format = PDF
| size = 881
| abstract = Breast cancer is one of the leading causes of death in the world among women. Early detection of breast masses may increase the survival rate and so automated techniques are suggested by researchers across the globe. Mammogram images are vague and many of the patterns are not visible clearly, thereby making it difficult to distinguish them using traditional crisp classification methods. So, segmentation of mammogram images remains a complex task and is necessary before moving for classification. Fuzzy/advanced fuzzy methods consider uncertainty in an image and so these sets can deal with uncertainty in medical images in an efficient manner. This paper presents the effect of using fuzzy, intuitionistic fuzzy set, Interval-type2 fuzzy set and intuitionistic fuzzy set of second type on segmenting lesions in mammogram images. Quantitative and qualitative analysis reveals that segmentation error is more on using fuzzy sets where only one uncertainty, which is membership function, is considered. Experimental results show that though intuitionistic fuzzy set, Interval-type2 fuzzy set performs well, intuitionistic fuzzy set of second type performs better than the other sets.
| keywords = Intuitionistic fuzzy set, Intuitionistic fuzzy set of second type, Interval valued type-2 fuzzy set, Intuitionistic fuzzy entropy, Clustering.
| ams = 03E72, 03B20, 68U10, 62H30.
| references =
# Aruna Kumar, S. V., & Harish, B. S. (2018). A modified intuitionistic fuzzy clustering algorithm for medical image segmentation. Journal of Intelligent Systems, 27(4), 593–607.
# Atanassov, K. (1989). Geometrical interpretation of the elements of the intuitionistic fuzzy objects. Preprint IM-MFAIS-1-89, Sofia, 1989. Reprinted: International Journal Bioautomation, 2016, 20(S1), S27–S42.
# Atanassov, K. (1993). A second type of intuitionistic fuzzy sets. BUSEFAL, 56, 66–70.
# Atanassov, K. (1993). Relations between both types of intuitionistic fuzzy sets. BUSEFAL, 56, 71–72.
# Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Series in Fuzziness and Soft Computing, Vol. 35, Springer Physica-Verlag, Heidelberg.
# Bezdek, J. C., Hall, L. O., & Clark, L. P. (1993). Review of MR segmentation techniques using pattern recognition. Medical Physics, 20(4), 1033–1048.
# Chaira, T. (2011). A novel intuitionistic fuzzy C means clustering algorithm and its application to medical images. Applied Soft Computing, 11(2), 1711–1717.
# Chaira, T. (2012). Intuitionistic fuzzy color clustering of human cell images on different color models. Journal of Intelligent & Fuzzy Systems, 23 (2–3), 43–51.
# Chaira, T. (2021). An intuitionistic fuzzy clustering approach for detection of abnormal regions in mammogram images. Journal of Digital Imaging, 34(2), 428–439.
# Chaira, T., & Sarkar, A. (2024). Pythagorean fuzzy set for enhancement of low contrast mammogram images. International Journal of Imaging Systems and Technology, 34(4), Article ID e23137.
# Cherif, S., Baklouti, N., Hagras, H., & Alimi, A. M. (2022). Novel intuitionistic-based interval type-2 fuzzy similarity measures with application to clustering. IEEE Transactions on Fuzzy Systems, 30 (5), 1260–1271.
# Das, A., & Sabut, S. K. (2016). Kernelized fuzzy C-means clustering with adaptive thresholding for segmenting liver tumors. Procedia Computer Science, 92, 389–395.
# Ejegwa, P. A., & Adamu, I. M. (2019). [[Issue:Distances between intuitionistic fuzzy sets of second type with application to diagnostic medicine|Distances between intuitionistic fuzzy sets of second type with application to diagnostic medicine]]. Notes on Intuitionistic Fuzzy Sets, 25(3), 53–70.
# Kannan, S. R., Ramathilagam, S., Sathya, A., & Pandiyaraja, R. (2010). Effective fuzzy c-means based kernel function in segmenting medical images. Computers in Biology and Medicine, 40(6), 572–579.
# Mendel, J. M. (2014). General type-2 fuzzy logic systems made simple: A tutorial. IEEE Transactions on Fuzzy Systems, 22(5), 1162–1182.
# Own, C.-M. (2009). Switching between type-2 fuzzy sets and intuitionistic fuzzy sets: An application in medical diagnosis. Applied Intelligence, 31, 283–291.
# Premalatha, R., & Dhanalakshmi, P. (2022). Enhancement and segmentation of medical images through pythagorean fuzzy sets–An innovative approach. Neural Computing and Application, 34(14), 11553–11569.
# Rangasamy, P. (2006). Theory of Operators over Intuitionistic Fuzzy Sets of Second Type and Their Applications to Image Processing. PhD Thesis, Alagappa University, Karaikudi, India.
# Rangasamy, P., & Palaniappan, N. (2004). [[Issue:Some operations on intuitionistic fuzzy sets of second type|Some operations on intuitionistic fuzzy sets of second type]]. Notes on Intuitionistic Fuzzy Sets, 10(2), 1–19.
# Verma, H., Gupta, A., & Dhirendra, K. (2019). Modified intuitionistic fuzzy c-means algorithm incorporating hesitation degree. Pattern Recognition Letters, 122, 45–52.
# Zadeh, L. A. (1965). Fuzzy sets. Information & Control, 8, 338–353.

| citations =
| see-also =
}}

Notes on Intuitionistic Fuzzy Sets/32/2

2026-08-31T09:36:31Z

Ifigenia Administrator: 163-175

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

== Journal contents ==</noinclude>

: <font color="red">''Volume opened: 15 May 2026 '' </font>
:

{{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
}}
{{journal-contents/row
|number = 2
|title = [[Issue:New implication deviation and entropy measures in intuitionistic fuzzy sets|New implication deviation and entropy measures in intuitionistic fuzzy sets]]
|authors = [[Ria Rejal Sharma]], [[Santanu Acharjee]], [[Mihir Kumar Chakraborty]]
|pages = 105–132
}}
{{journal-contents/row
|number = 3
|title = [[Issue:Research on intuitionistic fuzzy implications. Part 5|Research on intuitionistic fuzzy implications. Part 5]]
|authors = [[Nora Angelova]], [[Janusz Kacprzyk]], [[Krassimir Atanassov]], [[Vassia Atanassova]]
|pages = 133–143
}}
{{journal-contents/row
|number = 4
|title = [[Issue:An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis|An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis]]
|authors = [[Toncho Ivanov Boyukov]], [[Stefka Fidanova]]
|pages = 144–162
}}
{{journal-contents/row
|number = 5
|title = [[Issue:Effects of fuzzy and advanced fuzzy sets in mammogram image clustering|Effects of fuzzy and advanced fuzzy sets in mammogram image clustering]]
|authors = [[Tamalika Chaira]], [[Rita Chhikara ]]
|pages = 163–175
}}
{{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|32]]
</noinclude>

Notes on Intuitionistic Fuzzy Sets/32/2

2026-08-31T09:36:11Z

Ifigenia Administrator:

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

== Journal contents ==</noinclude>

: <font color="red">''Volume opened: 15 May 2026 '' </font>
:

{{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
}}
{{journal-contents/row
|number = 2
|title = [[Issue:New implication deviation and entropy measures in intuitionistic fuzzy sets|New implication deviation and entropy measures in intuitionistic fuzzy sets]]
|authors = [[Ria Rejal Sharma]], [[Santanu Acharjee]], [[Mihir Kumar Chakraborty]]
|pages = 105–132
}}
{{journal-contents/row
|number = 3
|title = [[Issue:Research on intuitionistic fuzzy implications. Part 5|Research on intuitionistic fuzzy implications. Part 5]]
|authors = [[Nora Angelova]], [[Janusz Kacprzyk]], [[Krassimir Atanassov]], [[Vassia Atanassova]]
|pages = 133–143
}}
{{journal-contents/row
|number = 4
|title = [[Issue:An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis|An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis]]
|authors = [[Toncho Ivanov Boyukov]], [[Stefka Fidanova]]
|pages = 144–162
}}
{{journal-contents/row
|title = [[Issue:Effects of fuzzy and advanced fuzzy sets in mammogram image clustering|Effects of fuzzy and advanced fuzzy sets in mammogram image clustering]]
|authors = [[Tamalika Chaira]], [[Rita Chhikara ]]
|pages = 163–175
}}
{{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|32]]
</noinclude>

Issue:An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis

2026-08-28T19:30:17Z

Ifigenia Administrator:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis
| shortcut = nifs/32/2/144-162
}}
{{issue/author
| author = Toncho Ivanov Boyukov
| institution = Faculty of Technical Sciences, Burgas State University "Prof. Dr. Asen Zlatarov"
| address = 1 Prof. Yakimov Str., 8010 Burgas, Bulgaria
| email-before-at = toncho_b
| email-after-at = abv.bg
| orcid = 0000-0002-1349-4893
}}
{{issue/author
| author = Stefka Fidanova
| institution = Institute of Information and Communication Technologies, Bulgarian Academy of Sciences
| address = Sofia, Bulgaria
| institution-2 = Centre of Excellence in Informatics and Information and Communication Technologies
| address-2 = Sofia, Bulgaria
| email-before-at = stefka.fidanova
| email-after-at = iict.bas.bg
| orcid = 0000-0002-8484-5849
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 144–162
| doi = https://doi.org/10.7546/nifs.2026.32.2.144-162
| file = NIFS-32-2-144-162.pdf
| format = PDF
| size = 272
| abstract = Human health risk assessment of environmental contamination is commonly based on deterministic or semi-probabilistic indices such as the hazard quotient (HQ) and hazard index (HI). Although widely used, these indicators have limited capacity to explicitly represent uncertainty and variability in exposure and toxicological parameters. Monte Carlo simulation is often employed to address this limitation by propagating uncertainty; however, probabilistic outputs alone do not fully support decision-making when multiple contaminants must be aggregated into a single interpretable metric.

In this study, we propose a Monte Carlo-based intuitionistic fuzzy health risk assessment framework that integrates probabilistic exposure modeling with intuitionistic fuzzy set (IFS) theory. Hazard quotients obtained from Monte Carlo simulations are mapped to intuitionistic fuzzy membership, non-membership, and hesitation degrees using transparent threshold-based functions. Aggregation across multiple contaminants is performed using a component-wise weighted averaging scheme for the intuitionistic fuzzy components, yielding a site-level risk representation that preserves both risk magnitude and associated uncertainty. An entropy-based measure is further introduced to quantify uncertainty in the aggregated intuitionistic fuzzy assessment.

The proposed framework enables enhanced interpretability and robust decision support under uncertainty, as demonstrated through a numerical example. By explicitly combining probabilistic uncertainty propagation with intuitionistic fuzzy modeling, this approach advances classical health risk assessment methodologies and provides a structured basis for risk-informed environmental decision-making.
| keywords = Health risk assessment, Monte Carlo simulation, Intuitionistic fuzzy sets, Uncertainty analysis, Multi-contaminant exposure, Hazard quotient.
| ams = 03E72.
| references =
# Atanassov, K. (1983). Intuitionistic fuzzy sets. VII ITKR Session, Sofia, 20–23 June 1983. Reprinted in International Journal Bioautomation, 20(S1) (2016), S1–S6.
# Atanassov, K. (1997). Generalized Nets and Systems Theory. Prof. M. Drinov Academic Publishing House, Sofia.
# Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
# Atanassov, K. T. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Studies in Computational Intelligence 573, Springer, Cham.
# Atanassov, K., Szmidt, E., Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
# Atanassov, K., Vassilev, P. (2020). Intuitionistic fuzzy sets and other fuzzy sets extensions representable by them. Journal of Intelligent & Fuzzy Systems, 38(1), 525–530.
# Atanassova, L., & Dworniczak, P. (2021). Operation as the tool for the de-i-fuzzification procedure and for the correction of the unconscientious experts’ evaluations. Notes on Intuitionistic Fuzzy Sets, 27(4), 9–19.
# Atanassova, V., & Sotirov, S. (2012). A new formula for de-i-fuzzification of intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 18(3), 49–51.
# Ban, A., Kacprzyk, J., & Atanassov, K. (2008). On de-I-fuzzification of intuitionistic fuzzy sets. Comptes Rendus de l’Academie bulgare des Sciences, 61(12), 1535–1540.
# Briffa, J., Sinagra, E., & Blundell, R. (2020). Heavy metal pollution in the environment and their toxicological effects on humans. Heliyon, 6, Article ID e04691.
# Bulgarian State Standard (2005). Water quality. Application of inductively coupled plasma mass spectrometry (ICP-MS). BSS EN ISO 17294-2/2005.
# Ivanova, D., Nikolaeva, Z., & Dimitrov, A. (2022). Study of the concentration of heavy metals in silt loading from transport arteries in the city of Burgas, Bulgaria. Oxidation Communications, 45(2), 390–397.
# Ivanova, D., Tasheva, Y., Sotirova, E., Dimitrov, A., & Sotirov, S. (2023). Prediction of the granulometric composition of the silt loading on transport arteries in the city of Bourgas based on artificial neural networks. Lecture Notes in Networks and Systems (Vol. 658, pp. 21–31). Springer, Cham.
# Jayarathne, A., Egodawatta, P., Ayoko, G. A., & Goonetilleke, A. (2018). Assessment of ecological and human health risks of metals in urban road dust based on geochemical fractionation and potential bioavailability. Science of the Total Environment, 635, 1609–1619.
# Kroese, D. P, Brereton, T., Taimre, T., & Botev, Z. I. (2014). Why the Monte Carlo method is so important today. WIREs Comput Stat., 6(6), 386–392.
# Li, J., Cui, D., Yang, Z., Ma, J., Liu, J., Yu, Y., Huang, X., & Xiang, P. (2024). Health risk assessment of heavy metal(loid)s in road dust via dermal exposure pathway from a low latitude plateau provincial capital city: The importance of toxicological verification. Environmental Research, 252, Article ID 118890.
# Mendel, J. M. (2001). Uncertain Rule-based Fuzzy Logic Systems. Prentice Hall, Upper Saddle River.
# Novak, V., Perfilieva, I., Mockor, J. (1999). Mathematical Principles of Fuzzy Logic. Kluwer Academic Publishers, Dordrecht.
# Patrascu, V. (2024). Two de-I-fuzzification procedures for intuitionistic fuzzy information. Notes on Intuitionistic Fuzzy Sets, 30 (1), 18–25.
# Pedrycz, W., Gomide, F. (2021). Fuzzy Systems Engineering: Toward Human-Centric Computing. Wiley-IEEE Press, Hoboken.
# Potocki, S., Rowinska-Zyrek, M., Witkowska, D., Pyrkosz, M., Szebesczyk, A., Krzywoszynska, K., & Kozlowski, H. (2012). Metal transport and homeostasis within the human body: Toxicity associated with transport abnormalities. Current Medicinal Chemistry, 19(17), 2738–2759.
# Ross, T. J. (2010). Fuzzy Logic with Engineering Applications. 3rd ed., Wiley, Chichester.
# Sotirov, S., Sotirova, E., Werner, M., Simeonov, S., Hardt, W., & Simeonova, N. (2016). Intuitionistic fuzzy estimation of the generalized nets model of spatial-temporal group scheduling problems. In: Imprecision and Uncertainty in Information Representation and Processing, Studies in Fuzziness and Soft Computing 332, Springer, Cham, 401–414.
# Todorov, V., Georgiev, S., Lazarova, M., Todorov, M., Sapundzhi, M., Traneva, V., & Petrov, M. (2026). An enhanced lattice rule with an optimized generating vector for high-dimensional sensitivity analysis. Lecture Notes in Networks and Systems (Vol. 1799, pp. 163–175), Springer, Cham.
# Todorov, V., & Zhivkov, P. (2025). Efficient Evaluation of Sobol’ sensitivity indices via polynomial lattice rules and modified sobol’ sequences. Mathematics, 13(21), Article ID 3402.
# Yager, R. R., & Zadeh, L. A. (Eds.) (1992). An Introduction to Fuzzy Logic Applications in Intelligent Systems. Springer, Boston.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.
# Zimmermann, H. J. (2001). Fuzzy Set Theory and Its Applications. 4th ed., Springer, Boston.

| citations =
| see-also =
}}

Issue:Nifs/32/2/144-162

2026-08-28T19:27:56Z

Ifigenia Administrator: Redirected page to Issue:An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis

#redirect [[Issue:An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis]]

File:NIFS-32-2-133-143.pdf

2026-08-28T19:26:38Z

Ifigenia Administrator: | date = 2026

== Summary ==
{{upload
| description = [[Issue:Research on intuitionistic fuzzy implications. Part 5|Research on intuitionistic fuzzy implications. Part 5]]
| author = [[Nora Angelova]], [[Janusz Kacprzyk]], [[Krassimir Atanassov]] and [[Vassia Atanassova]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 133-143
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
| other-version =
}}

[[Category:PDF files]]

File:NIFS-32-2-144-162.pdf

2026-08-28T19:26:12Z

Ifigenia Administrator: == Summary == {{upload | description = An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis | author = Toncho Ivanov Boyukov, Stefka Fidanova | source = Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2, pages 144-162 | date = 2026 | license...

== Summary ==
{{upload
| description = [[Issue:An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis|An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis]]
| author = [[Toncho Ivanov Boyukov]], [[Stefka Fidanova]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 144-162
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
| other-version =
}}

[[Category:PDF files]]

Issue:An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis

2026-08-28T16:26:19Z

Ifigenia Administrator: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis | shortcut = nifs/32/2/144-162 }} {{issue/author | author = Toncho Ivanov Boyukov | institution = Faculty of Technical Sciences,..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis
| shortcut = nifs/32/2/144-162
}}
{{issue/author
| author = Toncho Ivanov Boyukov
| institution = Faculty of Technical Sciences, Burgas State University "Prof. Dr. Asen Zlatarov"
| address = 1 Prof. Yakimov Str., 8010 Burgas, Bulgaria
| email-before-at = toncho_b
| email-after-at = abv.bg
| orcid = 0000-0002-1349-4893
}}
{{issue/author
| author = Stefka Fidanova
| institution = Institute of Information and Communication Technologies, Bulgarian Academy of Sciences
| address = Sofia, Bulgaria
| institution-2 = Centre of Excellence in Informatics and Information and Communication Technologies
| address-2 = Sofia, Bulgaria
| email-before-at = stefka.fidanova
| email-after-at = iict.bas.bg
| orcid = 0000-0002-8484-5849
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 144–162
| doi = https://doi.org/10.7546/nifs.2026.32.2.144-162
| file = NIFS-32-2-144-162.pdf
| format = PDF
| size = 272
| abstract = Human health risk assessment of environmental contamination is commonly based on deterministic or semi-probabilistic indices such as the hazard quotient (HQ) and hazard index (HI). Although widely used, these indicators have limited capacity to explicitly represent uncertainty and variability in exposure and toxicological parameters. Monte Carlo simulation is often
employed to address this limitation by propagating uncertainty; however, probabilistic outputs alone do not fully support decision-making when multiple contaminants must be aggregated into a single interpretable metric.

In this study, we propose a Monte Carlo-based intuitionistic fuzzy health risk assessment framework that integrates probabilistic exposure modeling with intuitionistic fuzzy set (IFS) theory. Hazard quotients obtained from Monte Carlo simulations are mapped to intuitionistic fuzzy membership, non-membership, and hesitation degrees using transparent threshold-based functions. Aggregation across multiple contaminants is performed using a component-wise weighted averaging scheme for the intuitionistic fuzzy components, yielding a site-level risk representation that preserves both risk magnitude and associated uncertainty. An entropy-based measure is further introduced to quantify uncertainty in the aggregated intuitionistic fuzzy assessment.

The proposed framework enables enhanced interpretability and robust decision support under uncertainty, as demonstrated through a numerical example. By explicitly combining probabilistic uncertainty propagation with intuitionistic fuzzy modeling, this approach advances classical health risk assessment methodologies and provides a structured basis for risk-informed environmental decision-making.
| keywords = Health risk assessment, Monte Carlo simulation, Intuitionistic fuzzy sets, Uncertainty analysis, Multi-contaminant exposure, Hazard quotient.
| ams = 03E72.
| references =
# Atanassov, K. (1983). Intuitionistic fuzzy sets. VII ITKR Session, Sofia, 20–23 June 1983. Reprinted in International Journal Bioautomation, 20(S1) (2016), S1–S6.
# Atanassov, K. (1997). Generalized Nets and Systems Theory. Prof. M. Drinov Academic Publishing House, Sofia.
# Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
# Atanassov, K. T. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Studies in Computational Intelligence 573, Springer, Cham.
# Atanassov, K., Szmidt, E., Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
# Atanassov, K., Vassilev, P. (2020). Intuitionistic fuzzy sets and other fuzzy sets extensions representable by them. Journal of Intelligent & Fuzzy Systems, 38(1), 525–530.
# Atanassova, L., & Dworniczak, P. (2021). Operation as the tool for the de-i-fuzzification procedure and for the correction of the unconscientious experts’ evaluations. Notes on Intuitionistic Fuzzy Sets, 27(4), 9–19.
# Atanassova, V., & Sotirov, S. (2012). A new formula for de-i-fuzzification of intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 18(3), 49–51.
# Ban, A., Kacprzyk, J., & Atanassov, K. (2008). On de-I-fuzzification of intuitionistic fuzzy sets. Comptes Rendus de l’Academie bulgare des Sciences, 61(12), 1535–1540.
# Briffa, J., Sinagra, E., & Blundell, R. (2020). Heavy metal pollution in the environment and their toxicological effects on humans. Heliyon, 6, Article ID e04691.
# Bulgarian State Standard (2005). Water quality. Application of inductively coupled plasma mass spectrometry (ICP-MS). BSS EN ISO 17294-2/2005.
# Ivanova, D., Nikolaeva, Z., & Dimitrov, A. (2022). Study of the concentration of heavy metals in silt loading from transport arteries in the city of Burgas, Bulgaria. Oxidation Communications, 45(2), 390–397.
# Ivanova, D., Tasheva, Y., Sotirova, E., Dimitrov, A., & Sotirov, S. (2023). Prediction of the granulometric composition of the silt loading on transport arteries in the city of Bourgas based on artificial neural networks. Lecture Notes in Networks and Systems (Vol. 658, pp. 21–31). Springer, Cham.
# Jayarathne, A., Egodawatta, P., Ayoko, G. A., & Goonetilleke, A. (2018). Assessment of ecological and human health risks of metals in urban road dust based on geochemical fractionation and potential bioavailability. Science of the Total Environment, 635, 1609–1619.
# Kroese, D. P, Brereton, T., Taimre, T., & Botev, Z. I. (2014). Why the Monte Carlo method is so important today. WIREs Comput Stat., 6(6), 386–392.
# Li, J., Cui, D., Yang, Z., Ma, J., Liu, J., Yu, Y., Huang, X., & Xiang, P. (2024). Health risk assessment of heavy metal(loid)s in road dust via dermal exposure pathway from a low latitude plateau provincial capital city: The importance of toxicological verification. Environmental Research, 252, Article ID 118890.
# Mendel, J. M. (2001). Uncertain Rule-based Fuzzy Logic Systems. Prentice Hall, Upper Saddle River.
# Novak, V., Perfilieva, I., Mockor, J. (1999). Mathematical Principles of Fuzzy Logic. Kluwer Academic Publishers, Dordrecht.
# Patrascu, V. (2024). Two de-I-fuzzification procedures for intuitionistic fuzzy information. Notes on Intuitionistic Fuzzy Sets, 30 (1), 18–25.
# Pedrycz, W., Gomide, F. (2021). Fuzzy Systems Engineering: Toward Human-Centric Computing. Wiley-IEEE Press, Hoboken.
# Potocki, S., Rowinska-Zyrek, M., Witkowska, D., Pyrkosz, M., Szebesczyk, A., Krzywoszynska, K., & Kozlowski, H. (2012). Metal transport and homeostasis within the human body: Toxicity associated with transport abnormalities. Current Medicinal Chemistry, 19(17), 2738–2759.
# Ross, T. J. (2010). Fuzzy Logic with Engineering Applications. 3rd ed., Wiley, Chichester.
# Sotirov, S., Sotirova, E., Werner, M., Simeonov, S., Hardt, W., & Simeonova, N. (2016). Intuitionistic fuzzy estimation of the generalized nets model of spatial-temporal group scheduling problems. In: Imprecision and Uncertainty in Information Representation and Processing, Studies in Fuzziness and Soft Computing 332, Springer, Cham, 401–414.
# Todorov, V., Georgiev, S., Lazarova, M., Todorov, M., Sapundzhi, M., Traneva, V., & Petrov, M. (2026). An enhanced lattice rule with an optimized generating vector for high-dimensional sensitivity analysis. Lecture Notes in Networks and Systems (Vol. 1799, pp. 163–175), Springer, Cham.
# Todorov, V., & Zhivkov, P. (2025). Efficient Evaluation of Sobol’ sensitivity indices via polynomial lattice rules and modified sobol’ sequences. Mathematics, 13(21), Article ID 3402.
# Yager, R. R., & Zadeh, L. A. (Eds.) (1992). An Introduction to Fuzzy Logic Applications in Intelligent Systems. Springer, Boston.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.
# Zimmermann, H. J. (2001). Fuzzy Set Theory and Its Applications. 4th ed., Springer, Boston.

| citations =
| see-also =
}}

Issue:Research on intuitionistic fuzzy implications. Part 5

2026-08-28T14:41:07Z

Ifigenia Administrator: 2026

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = Research on intuitionistic fuzzy implications. Part 5
| shortcut = nifs/32/2/133-143
}}
{{issue/author
| author = Nora Angelova
| institution = Faculty of Mathematics and Informatics, Sofia University
| address = 5 James Bourchier Blvd., 1164 Sofia, Bulgaria
| email-before-at = noraa
| email-after-at = fmi.uni-sofia.bg
| orcid = 0000-0003-2697-9766
}}
{{issue/author
| author = Janusz Kacprzyk
| institution = System Research Institute, Polish Academy of Sciences
| address = Newelska, 6, 01-447, Warsaw, Poland
| email-before-at = janusz.kacprzyk
| email-after-at = ibspan.waw.pl
| orcid = 0000-0003-4187-5877
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 Acad. G. Bonchev Str., 1113 Sofia, 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/author
| author = Vassia Atanassova
| institution = Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
| email-before-at = vassia.atanassova
| email-after-at = gmail.com
| orcid = 0000-0002-3626-9461
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 133–143
| doi = https://doi.org/10.7546/nifs.32.2.133-143
| file = NIFS-32-2-133-143.pdf
| format = PDF
| size = 157
| abstract = Continuing the research from four previous papers of the authors, here we check the validity of the two tautologies from the two tautologies of propositional logic

((A → B) & (A → C)) → (A → (B & C)),

((B ∨ C) → A) → ((B → A) ∨ (C → A))

and give the list of the intuitionistic fuzzy implications that satisfy these two formulas.
| keywords = Intuitionistic fuzzy implication, Intuitionistic fuzzy pair.
| ams = 03E72.
| references =
# Angelova, N., & Atanassov, K. (2021). [[Issue:Research on intuitionistic fuzzy implications|Research on intuitionistic fuzzy implications]]. Notes on Intuitionistic Fuzzy Sets, 27(2), 20–93.
# Angelova, N., Atanassov, K., & Atanassova, V. (2022). [[Issue:Research on intuitionistic fuzzy implications. Part 2|Research on intuitionistic fuzzy implications. Part 2]]. Notes on Intuitionistic Fuzzy Sets, 28(2), 172–192.
# Angelova, N., Atanassova, V., & Atanassov, K. (2023). [[Issue:Research on intuitionistic fuzzy implications. Part 3|Research on intuitionistic fuzzy implications. Part 3]]. Notes on Intuitionistic Fuzzy Sets, 29(4), 365–370.
# Angelova, N., Atanassov, K., & Atanassova, V. (2024). [[Issue:Research on intuitionistic fuzzy implications. Part 4|Research on intuitionistic fuzzy implications. Part 4]]. Notes on Intuitionistic Fuzzy Sets, 30(1), 1–8.
# Angelova, N., & Stoenchev, M. (2015/2016). Intuitionistic fuzzy conjunctions and disjunctions from first type. Annual of “Informatics” Section, Union of Scientists, 8, 1–17 (in Bulgarian).
# Angelova, N., & Stoenchev, M. (2017). [[Issue:Intuitionistic fuzzy conjunctions and disjunctions from third type|Intuitionistic fuzzy conjunctions and disjunctions from third type]]. Notes on Intuitionistic Fuzzy Sets, 23(5), 29–41.
# Angelova, N., Stoenchev, M., & Todorov, V. (2017). Intuitionistic fuzzy conjunctions and disjunctions from second type. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 13, 143–170.
# Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Springer, Cham.
# Hodas, J. (1994). Logic programming with multiple context management schemes. In: Lecture Notes in Artificial Intelligence (Vol. 798, pp. 171–182). Springer.

| citations =
| see-also =
}}

Notes on Intuitionistic Fuzzy Sets/32/2

2026-08-27T14:25:54Z

Ifigenia Administrator: 144-162

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

== Journal contents ==</noinclude>

: <font color="red">''Volume opened: 15 May 2026 '' </font>
:

{{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
}}
{{journal-contents/row
|number = 2
|title = [[Issue:New implication deviation and entropy measures in intuitionistic fuzzy sets|New implication deviation and entropy measures in intuitionistic fuzzy sets]]
|authors = [[Ria Rejal Sharma]], [[Santanu Acharjee]], [[Mihir Kumar Chakraborty]]
|pages = 105–132
}}
{{journal-contents/row
|number = 3
|title = [[Issue:Research on intuitionistic fuzzy implications. Part 5|Research on intuitionistic fuzzy implications. Part 5]]
|authors = [[Nora Angelova]], [[Janusz Kacprzyk]], [[Krassimir Atanassov]], [[Vassia Atanassova]]
|pages = 133–143
}}
{{journal-contents/row
|number = 4
|title = [[Issue:An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis|An intuitionistic fuzzy framework for human health risk assessment incorporating Monte Carlo uncertainty analysis]]
|authors = [[Toncho Ivanov Boyukov]], [[Stefka Fidanova]]
|pages = 144–162
}}
{{journal-contents/row
|number = <font color="red">5</font>
|title = <font color="red">TBA</font>
|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>

Issue:Research on intuitionistic fuzzy implications. Part 5

2026-08-27T05:45:22Z

Ifigenia Administrator: orcids

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2024 year|{{PAGENAME}}]]
{{issue/title
| title = Research on intuitionistic fuzzy implications. Part 5
| shortcut = nifs/32/2/133-143
}}
{{issue/author
| author = Nora Angelova
| institution = Faculty of Mathematics and Informatics, Sofia University
| address = 5 James Bourchier Blvd., 1164 Sofia, Bulgaria
| email-before-at = noraa
| email-after-at = fmi.uni-sofia.bg
| orcid = 0000-0003-2697-9766
}}
{{issue/author
| author = Janusz Kacprzyk
| institution = System Research Institute, Polish Academy of Sciences
| address = Newelska, 6, 01-447, Warsaw, Poland
| email-before-at = janusz.kacprzyk
| email-after-at = ibspan.waw.pl
| orcid = 0000-0003-4187-5877
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 Acad. G. Bonchev Str., 1113 Sofia, 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/author
| author = Vassia Atanassova
| institution = Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
| email-before-at = vassia.atanassova
| email-after-at = gmail.com
| orcid = 0000-0002-3626-9461
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 133–143
| doi = https://doi.org/10.7546/nifs.32.2.133-143
| file = NIFS-32-2-133-143.pdf
| format = PDF
| size = 157
| abstract = Continuing the research from four previous papers of the authors, here we check the validity of the two tautologies from the two tautologies of propositional logic

((A → B) & (A → C)) → (A → (B & C)),

((B ∨ C) → A) → ((B → A) ∨ (C → A))

and give the list of the intuitionistic fuzzy implications that satisfy these two formulas.
| keywords = Intuitionistic fuzzy implication, Intuitionistic fuzzy pair.
| ams = 03E72.
| references =
# Angelova, N., & Atanassov, K. (2021). [[Issue:Research on intuitionistic fuzzy implications|Research on intuitionistic fuzzy implications]]. Notes on Intuitionistic Fuzzy Sets, 27(2), 20–93.
# Angelova, N., Atanassov, K., & Atanassova, V. (2022). [[Issue:Research on intuitionistic fuzzy implications. Part 2|Research on intuitionistic fuzzy implications. Part 2]]. Notes on Intuitionistic Fuzzy Sets, 28(2), 172–192.
# Angelova, N., Atanassova, V., & Atanassov, K. (2023). [[Issue:Research on intuitionistic fuzzy implications. Part 3|Research on intuitionistic fuzzy implications. Part 3]]. Notes on Intuitionistic Fuzzy Sets, 29(4), 365–370.
# Angelova, N., Atanassov, K., & Atanassova, V. (2024). [[Issue:Research on intuitionistic fuzzy implications. Part 4|Research on intuitionistic fuzzy implications. Part 4]]. Notes on Intuitionistic Fuzzy Sets, 30(1), 1–8.
# Angelova, N., & Stoenchev, M. (2015/2016). Intuitionistic fuzzy conjunctions and disjunctions from first type. Annual of “Informatics” Section, Union of Scientists, 8, 1–17 (in Bulgarian).
# Angelova, N., & Stoenchev, M. (2017). [[Issue:Intuitionistic fuzzy conjunctions and disjunctions from third type|Intuitionistic fuzzy conjunctions and disjunctions from third type]]. Notes on Intuitionistic Fuzzy Sets, 23(5), 29–41.
# Angelova, N., Stoenchev, M., & Todorov, V. (2017). Intuitionistic fuzzy conjunctions and disjunctions from second type. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 13, 143–170.
# Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Springer, Cham.
# Hodas, J. (1994). Logic programming with multiple context management schemes. In: Lecture Notes in Artificial Intelligence (Vol. 798, pp. 171–182). Springer.

| citations =
| see-also =
}}

Issue:Nifs/32/2/133-143

2026-08-26T14:17:26Z

Ifigenia Administrator: Redirected page to Issue:Research on intuitionistic fuzzy implications. Part 5

#redirect [[Issue:Research on intuitionistic fuzzy implications. Part 5]]

File:NIFS-32-2-133-143.pdf

2026-08-26T14:16:58Z

Ifigenia Administrator: /* Summary */

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| source = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 133-143
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File:NIFS-32-2-133-143.pdf

2026-08-26T14:16:50Z

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| source = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 133-143
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Issue:Research on intuitionistic fuzzy implications. Part 5

2026-08-26T14:15:46Z

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| institution = System Research Institute, Polish Academy of Sciences
| address = Newelska, 6, 01-447, Warsaw, Poland
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| email-after-at = ibspan.waw.pl
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{{issue/author
| author = Krassimir Atanassov
| institution = Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
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| sec-email-after-at = gmail.com
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{{issue/author
| author = Vassia Atanassova
| institution = Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
| email-before-at = vassia.atanassova
| email-after-at = gmail.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 133–143
| doi = https://doi.org/10.7546/nifs.32.2.133-143
| file = NIFS-32-2-133-143.pdf
| format = PDF
| size = 157
| abstract = Continuing the research from four previous papers of the authors, here we check the validity of the two tautologies from the two tautologies of propositional logic

((A → B) & (A → C)) → (A → (B & C)),

((B ∨ C) → A) → ((B → A) ∨ (C → A))

and give the list of the intuitionistic fuzzy implications that satisfy these two formulas.
| keywords = Intuitionistic fuzzy implication, Intuitionistic fuzzy pair.
| ams = 03E72.
| references =
# Angelova, N., & Atanassov, K. (2021). [[Issue:Research on intuitionistic fuzzy implications|Research on intuitionistic fuzzy implications]]. Notes on Intuitionistic Fuzzy Sets, 27(2), 20–93.
# Angelova, N., Atanassov, K., & Atanassova, V. (2022). [[Issue:Research on intuitionistic fuzzy implications. Part 2|Research on intuitionistic fuzzy implications. Part 2]]. Notes on Intuitionistic Fuzzy Sets, 28(2), 172–192.
# Angelova, N., Atanassova, V., & Atanassov, K. (2023). [[Issue:Research on intuitionistic fuzzy implications. Part 3|Research on intuitionistic fuzzy implications. Part 3]]. Notes on Intuitionistic Fuzzy Sets, 29(4), 365–370.
# Angelova, N., Atanassov, K., & Atanassova, V. (2024). [[Issue:Research on intuitionistic fuzzy implications. Part 4|Research on intuitionistic fuzzy implications. Part 4]]. Notes on Intuitionistic Fuzzy Sets, 30(1), 1–8.
# Angelova, N., & Stoenchev, M. (2015/2016). Intuitionistic fuzzy conjunctions and disjunctions from first type. Annual of “Informatics” Section, Union of Scientists, 8, 1–17 (in Bulgarian).
# Angelova, N., & Stoenchev, M. (2017). [[Issue:Intuitionistic fuzzy conjunctions and disjunctions from third type|Intuitionistic fuzzy conjunctions and disjunctions from third type]]. Notes on Intuitionistic Fuzzy Sets, 23(5), 29–41.
# Angelova, N., Stoenchev, M., & Todorov, V. (2017). Intuitionistic fuzzy conjunctions and disjunctions from second type. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 13, 143–170.
# Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Springer, Cham.
# Hodas, J. (1994). Logic programming with multiple context management schemes. In: Lecture Notes in Artificial Intelligence (Vol. 798, pp. 171–182). Springer.

| citations =
| see-also =
}}

Notes on Intuitionistic Fuzzy Sets/32/2

2026-08-26T14:08:13Z

Ifigenia Administrator: 133-143

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

== Journal contents ==</noinclude>

: <font color="red">''Volume opened: 15 May 2026 '' </font>
:

{{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
}}
{{journal-contents/row
|number = 2
|title = [[Issue:New implication deviation and entropy measures in intuitionistic fuzzy sets|New implication deviation and entropy measures in intuitionistic fuzzy sets]]
|authors = [[Ria Rejal Sharma]], [[Santanu Acharjee]], [[Mihir Kumar Chakraborty]]
|pages = 105–132
}}
{{journal-contents/row
|number = 3
|title = [[Issue:Research on intuitionistic fuzzy implications. Part 5|Research on intuitionistic fuzzy implications. Part 5]]
|authors = [[Nora Angelova]], [[Janusz Kacprzyk]], [[Krassimir Atanassov]], [[Vassia Atanassova]]
|pages = 133–143
}}
{{journal-contents/row
|number = <font color="red">4</font>
|title = <font color="red">TBA</font>
|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>

Issue:Two de-I-fuzzification procedures for intuitionistic fuzzy information

2026-08-21T12:39:58Z

Ifigenia Administrator: 49-51 not 49-61

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2024 year|{{PAGENAME}}]]
{{issue/title
| title = Two de-I-fuzzification procedures for intuitionistic fuzzy information
| shortcut = nifs/30/1/18-25
}}
{{issue/author
| author = Vasile Patrascu
| institution = Research Center in Electrical Engineering, Electronics and Information Technology, Valahia University of Targoviste
| address = 13 Aleea Sinaia Street, 130004 Targoviste, Romania
| email-before-at = patrascu.v
| email-after-at = gmail.com
}}
{{issue/data
| conference = Proceedings of the 27th [[International Conference on Intuitionistic Fuzzy Sets]], 5–6 July 2024, Burgas, Bulgaria
| issue = [[Notes on Intuitionistic Fuzzy Sets/30/1|Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 1]], pages 18–25
| doi = https://doi.org/10.7546/nifs.2024.30.1.18-25
| file = NIFS-30-1-018-025.pdf
| format = PDF
| size = 193
| abstract = In this paper, two procedures are proposed that transform intuitionistic fuzzy information into fuzzy information. Using the results obtained with the de-I-fuzzification procedures, formulas for intuitionistic fuzzy entropy are constructed.
| keywords = Fuzzy information, Intuitionistic fuzzy information, De-I-fuzzification, Entropy.
| ams = 03E72.
| references =
# Ansari, A. Q., Philip, J., Siddiqui, S. A., & Alvi, J. A. (2010). Fuzzification of Intuitionistic Fuzzy Sets. International Journal of Computational Cognition, 8(3), 90–91.
# Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
# Atanassova, L. C. (2023). [[Issue:Three de-intuitionistic fuzzification procedures over circular intuitionistic fuzzy sets|Three de-intuitionistic fuzzification procedures over circular intuitionistic fuzzy sets]]. Notes on Intuitionistic Fuzzy Sets, 29(3), 292–297.
# Atanassova, V., & Sotirov, S. (2012). [[Issue:A new formula for de-i-fuzzification of intuitionistic fuzzy sets|A new formula for de-i-fuzzification of intuitionistic fuzzy sets]]. Notes on Intuitionistic Fuzzy Sets, 18(3), 49–51.
# Ban, A., Kacprzyk, J., & Atanassov, K. (2008). On de-I-fuzzification of intuitionistic fuzzy sets. Comptes Rendus de l’Academie bulgare des Sciences, 61(12), 1535–1540.
# De Luca, A., & Termini, S. (1972). A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory. Information and Control, 20, 301–312.
# Kaufmann, A. (1975). Introduction to the Theory of Fuzzy Subsets, Vol. I. Academic Press, New York.
# Kosko, B. (1986). Fuzzy entropy and conditioning. Information Sciences, 40, 165–174.
# Patrascu, V. (2012). Fuzzy Membership Function Construction Based on Multi-Valued Evaluation. Uncertainty Modeling in Knowledge Engineering and Decision Making, World Scientific Press, 756–761.
# Patrascu. V. (2018). Shannon entropy for intuitionistic fuzzy information. Preprint. ArXiV. https://doi.org/10.48550/arXiv.1807.01747.
# Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27(3), 379–423.
# Szmidt, E., & Kacprzyk, J. (2001). Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems, 118, 467–477.
# Van Leekwijck, W., & Kerre. E. E. (1999). Defuzzification: Criteria and classification. Fuzzy Sets and Systems, 108(2), 159–178.
# Zadeh, L. (1965). Fuzzy sets. Information and Control, 8, 338–353.

| citations =
| see-also =
}}

Issue:Characterizing regular semigroups using intuitionistic fuzzy sets

2026-07-21T06:53:32Z

Ifigenia Administrator: 2003 -> 2004

[[Category:Publications on intuitionistic fuzzy generalized nets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2004 year|{{PAGENAME}}]]
{{issue/title
| title = Characterizing regular semigroups using intuitionistic fuzzy sets
| shortcut = nifs/10/2/20-31
}}
{{issue/author
| author = Yongfa Hong
| institution = College of Electronic Information and Engineering, Tongji University
| address = 200092, Shanghai, China
| email-before-at = 0410080012
| email-after-at = smail.tongji.edu.cn
}}
{{issue/author
| author = Changjun Jiang
| institution = College of Information Science and Engineering, Shandong University of Sciences and Technology
| address = 266510 Qingdao, Shandong, China
| email-before-at =
| email-after-at =
}}
{{issue/data
| conference =
| issue = [[Notes on Intuitionistic Fuzzy Sets/10/2|"Notes on Intuitionistic Fuzzy Sets", Volume 10 (2004) Number 2]], pages 20-31
| file = NIFS-10-2-20-31.pdf
| format = PDF
| size = 4840
| abstract = In the present paper, we give some properties of intuitionistic fuzzy ideals and intuitionistic fuzzy biideal in a semigroup, and characterize a regular semigroup in terms of intuitionistic fuzzy left, right, and two-sided and biideals.
| keywords = [[Intuitionistic fuzzy ideal]], Intuitionistic fuzzy biideal, Regular semigroup
| references =
| citations =
# N. Kuroki, Two-sided purity on regular semigroups, Comment. Math. Univ. St. Paul., 24:21-26(1975).
# N. Kuroki, Fuzzy biideals in semigroup. Comment. Math. Univ. St. Paul., 28:17-21(1979).
# N. Kuroki, On fuzzy ideals and fuzzy biideals in semigroup, Fuzzy Sets and Systems, 5:203-215(1981).
# N. Kuroki, Fuzzy semiprime ideals in semigroups, Fuzzy Sets and Systems, 8:71-78(1982).
# N. Kuroki, On fuzzy semigroups, Information Science, 53:203-236(1991).
# J. N. Mordeson, D. S. Malik, N. Kuroki, Fuzzy semigroups, Berlin, New York: Springer-Verlag, 2002.
# W. J. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems, 21:133-139(1982).
# A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl., 35:512-517(1971).
# L. A. Zadeh, Fuzzy sets, Inform. And Control, 8:338-353(1965)
# K. T. Atanassov, Intuitionistic fuzzy sets, Central Tech. Library, Bulgarian Academy Science, Sofia, Bulgaria, Rep. No. 1697/84, 1983.
# K. T. Atanassov, [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], Fuzzy Sets and Systems, 20:87-96(1986).
# K. T. Atanassov, [[Intuitionistic Fuzzy Sets: Theory and Applications|Intuitionistic Fuzzy Sets]], Heidelberg, Germany: Physica-Verlag, 1999.
# K. Iseki, A characterization of regular semigroups, Proc. Japan Acad., 32:676-677

| see-also =
}}

Issue:On the first type of intuitionistic fuzzy generalized nets

2026-07-21T06:53:17Z

Ifigenia Administrator: 2003 -> 2004

[[Category:Publications on intuitionistic fuzzy generalized nets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2004 year|{{PAGENAME}}]]
{{issue/title
| title = On the modal operators defined over intuitionistic fuzzy sets
| shortcut = nifs/10/2/32-40
}}
{{issue/author
| author = Violeta Tasseva
| institution = CLBME-Bulgarian Academy of Sciences
| address = P.O. Box 12, Sofia-1113, Bulgaria
| email-before-at = violeta
| email-after-at = clbme.bas.bg
}}
{{issue/author
| author = Marin Marinov
| institution = Fabless Ltd.
| address = 7 km, Tzarigradsko choussee, Sofia-1184, Bulgaria
| email-before-at = marin.marinov
| email-after-at = fab-less.com
}}
{{issue/author
| author = Krassimir Atanassov
| institution = CLBME-Bulgarian Academy of Sciences
| address = P.O. Box 12, Sofia-1113, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
}}
{{issue/data
| conference =
| issue = [[Notes on Intuitionistic Fuzzy Sets/10/2|"Notes on Intuitionistic Fuzzy Sets", Volume 10 (2004) Number 2]], pages 32-40
| file = NIFS-10-2-32-40.pdf
| format = PDF
| size = 138
| abstract = Generalized Nets (GNs) and intuitionistic fuzzy logic are briefly reminded. Three versions of the First type of an intuitionistic fuzzy GN are defined and some of their properties are discussed.
| keywords = [[Intuitionistic fuzzy sets]], [[Generalized nets]], [[Intuitionistic fuzzy generalized nets - type 1]]
| references =
# Atanassov, K. ''[[Issue:Generalized nets and their fuzzings|Generalized nets and their fuzzings]]'', AMSE Review, Vol. 2 (1985), No. 3, 39-49.
# Atanassov, K. ''[[Issue:Generalized index matrices|Generalized index matrices]]'' - Compt. Rend. de l'Academie Bulgare des Sciences, Vol.40, 1987, No 11, 15-18.
# Atanassov, K. ''[[Generalized Nets (World Scientific)|Generalized Nets]]''. World Scientific, Singapore, New Jersey, London, 1991.
# Atanassov, K. ''[[Generalized Nets and Systems Theory]]''. "Prof. M. Drinov" Academic Publishing House, Sofia, 1997.
# Atanassov, K. ''[[Intuitionistic Fuzzy Sets: Theory and Applications]]''. Springer-Verlag, Heidelberg, 1999.
# Atanassov, K., [[Nikolai Nikolov|N. Nikolov]]. ''Intuitionistic fuzzy generalized nets: definitions, properties, applications''. In:- Systematic Organization of Information in Fuzzy Systems ([[Pedro Melo-Pinto|P. Melo-Pinto]], [[Horia-Nicolai Teodorescu|H.-N. Teodorescu]] and [[Toshio Fukuda|T. Fukud]]a, Eds.), IOS Press, Amsterdam, 2003, 161-175.
# [[Valentina Radeva|Radeva, V.]], [[Maciej Krawczak|M. Krawczak]], [[Edward Choy|E. Choy]]. ''Review and bibliography on generalized nets theory and applications''. Advanced Studies in Contemporary Mathematics, Vol. 4, No. 2, 2002, 173-199.
# [[Peter Starke|Starke, P.]] ''Petri-Netze''. Berlin, VEB Deutscher Verlag der Wissenschaften, 1980.
| citations =
| see-also =
}}

Issue:Some operations on intuitionistic fuzzy sets of second type

2026-07-21T06:52:45Z

Ifigenia Administrator: 2003 -> 2004

[[Category:Publications on intuitionistic fuzzy generalized nets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2004 year|{{PAGENAME}}]]
{{issue/title
| title = Some operations on intuitionistic fuzzy sets of second type
| shortcut = nifs/10/2/1-19
}}
{{issue/author
| author = Parvathi Rangasamy
| institution = Department of Mathematics, Vellalar College for Women
| address = Erode-638 009, Tamilnadu, India
| email-before-at = paarvathis
| email-after-at = rediffmail.com
}}
{{issue/author
| author = N. Palaniappan
| institution = Department of Mathematics, Alagappa University
| address = Karaikudi- 630 003, Tamilnadu, India
| email-before-at = npalaniappanalukkd
| email-after-at = yahoo.co.in
}}
{{issue/data
| conference =
| issue = [[Notes on Intuitionistic Fuzzy Sets/10/2|"Notes on Intuitionistic Fuzzy Sets", Volume 10 (2004) Number 2]], pages 1-19
| file = NIFS-10-2-01-19.pdf
| format = PDF
| size = 6390
| abstract = Following the definition of Intuitionistic Fuzzy Set of Second Type (IFSST) by [[Krassimir Atanassov|Krassimir T. Atanassov]] and some operations on IFSST, we have defined concentration, dilation and normalisation of an IFSST. We have also proved some propositions along with suitable illustrations.
| keywords = [[Intuitionistic fuzzy sets]] (IFS), IFSST, CONST, DILST, NORMST
| references =
# Atanassov K. T., [[Intuitionistic Fuzzy Sets: Theory and Applications|Intuitionistic Fuzzy Sets (Theory and Applications)]], 1999, Springer - Verlag, New York.
# Coker D., A note on intuitionistic sets and intuitionistic points. Transaction J. of Mathematics, 20 (1996) 343-351.
# De S.K, Ranjit Biswas, Roy A. R, Some operations on intuitionistic fuzzy sets. Fuzzy sets and systems, 114 (2000), 477 - 484

| citations =

* BEGUM, SYED SIDDIQUA, and R. SRINIVASAN. [http://www.ijma.info/index.php/ijma/article/view/5298 "A COMPARATIVE STUDY OF VARIOUS DISTANCE MEASURES IN INTUITIONISTIC FUZZY SETS AND THEIR EXTENSIONS."] International Journal of Mathematical Archive EISSN 2229-5046 9.1 (2018), pp. 214-217.
| see-also =
}}

File:NIFS-32-2-105-132.pdf

2026-07-19T07:23:56Z

Ifigenia Administrator: Ifigenia Administrator uploaded a new version of File:NIFS-32-2-105-132.pdf

== Summary ==
{{upload
| description = [[Issue:New implication deviation and entropy measures in intuitionistic fuzzy sets|New implication deviation and entropy measures in intuitionistic fuzzy sets]]
| author = [[Ria Rejal Sharma]], [[Santanu Acharjee]], [[Mihir Kumar Chakraborty]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 105-132
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
| other-version =
}}

[[Category:PDF files]]

Issue:New implication deviation and entropy measures in intuitionistic fuzzy sets

2026-07-18T05:55:55Z

Ifigenia Administrator:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = New implication deviation and entropy measures in intuitionistic fuzzy sets
| shortcut = nifs/32/2/105-132
}}
{{issue/author
| author = Ria Rejal Sharma
| institution = Department of Mathematics, Gauhati University
| address = Guwahati-781014, Assam, India
| email-before-at = sharmariarejal
| email-after-at = gmail.com
| orcid = 0009-0008-4032-4014
}}
{{issue/author
| author = Santanu Acharjee
| institution = Department of Mathematics, Gauhati University
| address = Guwahati-781014, Assam, India
| email-before-at = sacharjee326
| email-after-at = gmail.com
| orcid = 0000-0003-4932-3305
}}
{{issue/author
| author = Mihir Kumar Chakraborty
| institution = Department of Mathematics, University of Calcutta
| address = Kolkata-780073, West Bengal, India
| email-before-at = mihirc4
| email-after-at = gmail.com
| orcid = 0009-0003-7669-3720
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 105–132
| doi = https://doi.org/10.7546/nifs.2026.32.2.105-132
| file = NIFS-32-2-105-132.pdf
| format = PDF
| size = 319
| abstract = This paper presents two new concepts within the framework of intuitionistic fuzzy set (IFS). An implication deviation is introduced, formulated using the implication operator together with a universal quantifier in the framework of intuitionistic fuzzy set. In addition to being a crucial analytical tool, this measure emphasizes its theoretical significance in the study of intuitionistic fuzzy sets by making it easier to define basic notions like inclusion and similarity. In addition, the paper introduces two new entropy measures, referred to as the α-intuitionistic fuzzy entropy and the β-intuitionistic fuzzy entropy, to quantify uncertainty of intuitionistic fuzzy sets. The α-intuitionistic fuzzy entropy evaluates uncertainty in terms of the deviation from the extreme situations of complete inclusion and complete exclusion. In contrast, the β-intuitionistic fuzzy entropy reflects maximum uncertainty when degrees of membership and non-membership are balanced or when the degree of hesitancy is maximal, while minimum entropy corresponds to the case, when complete inclusion or exclusion is there. Both entropy measures are constructed using the Hamming distance to ensure a consistent and intuitive representation of uncertainty.
| keywords = Intuitionistic fuzzy set, Implication deviation, Entropy.
| ams = 03B52, 03B50, 94D05.
| references =
# [[Krassimir Atanassov|Atanassov, K.]] (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Heidelberg: Physica-Verlag.
# Atanassov, K. (2011). Second Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 17(3), 11–14.
# Atanassov, K., Angelova, N., & Atanassova, V. (2021). On an intuitionistic fuzzy form of the Goguen’s implication. Mathematics, 9(6), Article ID 676.
# Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Cham: Springer.
# Atanassova, L. (2009). A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, 9(2), 21–25.
# [[Lilija Atanassova|Atanassova, L.]] (2009). [[Issue:On some properties of intuitionistic fuzzy negation ¬@|On some properties of intuitionistic fuzzy negation ¬@]]. Notes on Intuitionistic Fuzzy Sets, 15(1), 32–35.
# Atanassova, L. (2012). [[Issue:On two modifications of the intuitionistic fuzzy implication →@|On two modifications of the intuitionistic fuzzy implication →@]]. Notes on Intuitionistic Fuzzy Sets, 18(2), 26–30.
# Atanassova, L., & [[Piotr Dworniczak|Dworniczak, P.]] (2021). On the weak intuitionistic fuzzy implication based on ∆ operation. Notes on Intuitionistic Fuzzy Sets, 27(2), 11–19.
# [[Adrian Ban|Ban, A.]] (2017). Intuitionistic fuzzy measures and intuitionistic entropies. Granular Computation, 3, 111–122.
# [[Pedro Burillo|Burillo, P.]], & [[Humberto Bustince|Bustince, H.]] (1996). Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets and Systems, 78(3), 305–316.
# Bustince, H., Barrenechea, E., & Mohedano, V. (2004). Intuitionistic fuzzy implication operators-An expression and main properties. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12(03), 387–406.
# [[Chris Cornelis|Cornelis, C.]], [[Glad Deschrijver|Deschrijver, G.]], & [[Etienne Kerre|Kerre, E. E]]. (2004). Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: Construction, classification, application. International Journal of Approximate Reasoning, 35(1), 55–95.
# De Luca, A., & Termini, S. (1972). A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory. Information and Control, 20(4), 301–312.
# Dengfeng, L., & Chuntian, C. (2002). New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions. Pattern Recognition Letters, 23(1–3), 221–225.
# Fan, J., & Xie, W. (1999). Distance measure and induced fuzzy entropy. Fuzzy Sets and Systems, 104(2), 305–314.
# [[Tadeusz Gerstenkorn|Gerstenkorn, T.]], & [[Jacek Mańko|Manko, J.]] (2001). [[Issue:Intuitionistic fuzzy set energies|Intuitionistic fuzzy set energies]]. Notes on Intuitionistic Fuzzy Sets, 9(1), 41–48.
# Klir, G., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic. New Jersey: Prentice Hall.
# Kosko, B. (1986). Fuzzy entropy and conditioning. Information Sciences, 40(2), 165–174.
# [[Alžbeta Michalíková|Michalíková, A.]] (2022). [[Issue:Some notes on intuitionistic fuzzy equivalence relations and their use on real data|Some notes on intuitionistic fuzzy equivalence relations and their use on real data]]. Notes on Intuitionistic Fuzzy Sets, 28(3), 306–318.
# Montes, I., Pal, N. R., & Montes, S. (2018). Entropy measures for Atanassov intuitionistic fuzzy sets based on divergence. Soft Computing, 22(15), 5051–5071.
# [[Eulalia Szmidt|Szmidt, E.]] (1997). [[Issue:A concept of entropy for intuitionistic fuzzy sets|A concept of entropy for intuitionistic fuzzy sets]]. Notes on Intuitionistic Fuzzy Sets, 3(2), 41–52.
# [[Eulalia Szmidt|Szmidt, E.]], & [[Jim Baldwin|Baldwin, J.]] (2004). [[Issue:Entropy for intuitionistic fuzzy set theory and mass assignment theory|Entropy for intuitionistic fuzzy set theory and mass assignment theory]]. Notes on Intuitionistic Fuzzy Sets, 10(3), 15–28.
# [[Eulalia Szmidt|Szmidt, E.]], & [[Janusz Kacprzyk|Kacprzyk, J.]] (2005). [[Issue:New measures of entropy for intuitionistic fuzzy sets|New measures of entropy for intuitionistic fuzzy sets]]. Notes on Intuitionistic Fuzzy Sets, 11(2), 12–20.
# Vlachos, I. K., & Sergiadis, G. D. (2006). Inner product based entropy in the intuitionistic fuzzy setting. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 14(03), 351–366.
# Xuecheng, L. (1992). Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets and Systems, 52(3), 305–318.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.
# Zhang, Q., Xing, H., & Wu, L. (2012). Entropy, similarity measure, inclusion measure of intuitionistic fuzzy sets and their relationships. International Journal of Computational Intelligence Systems, 5(3), 519–529.
# Zhu, Y.-J., & Li, D.-F. (2016). A new definition and formula of entropy for intuitionistic fuzzy sets. Journal of Intelligent & Fuzzy Systems, 30(6), 3057–3066.

| citations =
| see-also =
}}

Issue:New implication deviation and entropy measures in intuitionistic fuzzy sets

2026-07-18T05:53:42Z

Ifigenia Administrator:

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = New implication deviation and entropy measures in intuitionistic fuzzy sets
| shortcut = nifs/32/2/105-132
}}
{{issue/author
| author = Ria Rejal Sharma
| institution = Department of Mathematics, Gauhati University
| address = Guwahati-781014, Assam, India
| email-before-at = sharmariarejal
| email-after-at = gmail.com
| orcid = 0009-0008-4032-4014
}}
{{issue/author
| author = Santanu Acharjee
| institution = Department of Mathematics, Gauhati University
| address = Guwahati-781014, Assam, India
| email-before-at = sacharjee326
| email-after-at = gmail.com
| orcid = 0000-0003-4932-3305
}}
{{issue/author
| author = Mihir Kumar Chakraborty
| institution = Department of Mathematics, University of Calcutta
| address = Kolkata-780073, West Bengal, India
| email-before-at = mihirc4
| email-after-at = gmail.com
| orcid = 0009-0003-7669-3720
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 105–132
| doi = https://doi.org/10.7546/nifs.2026.32.2.105-132
| file = NIFS-32-2-105-132.pdf
| format = PDF
| size = 319
| abstract = This paper presents two new concepts within the framework of intuitionistic fuzzy set (IFS). An implication deviation is introduced, formulated using the implication operator together with a universal quantifier in the framework of intuitionistic fuzzy set. In addition to being a crucial analytical tool, this measure emphasizes its theoretical significance in the study of intuitionistic fuzzy sets by making it easier to define basic notions like inclusion and similarity. In addition, the paper introduces two new entropy measures, referred to as the α-intuitionistic fuzzy entropy and the β-intuitionistic fuzzy entropy, to quantify uncertainty of intuitionistic fuzzy sets. The α-intuitionistic fuzzy entropy evaluates uncertainty in terms of the deviation from the extreme situations of complete inclusion and complete exclusion. In contrast, the β-intuitionistic fuzzy entropy reflects maximum uncertainty when degrees of membership and non-membership are balanced or when the degree of hesitancy is maximal, while minimum entropy corresponds to the case, when complete inclusion or exclusion is there. Both entropy measures are constructed using the Hamming distance to ensure a consistent and intuitive representation of uncertainty.
| keywords = Intuitionistic fuzzy set, Implication deviation, Entropy.
| ams = 03B52, 03B50, 94D05.
| references =
# [[Krassimir Atanassov|Atanassov, K.]] (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Heidelberg: Physica-Verlag.
# Atanassov, K. (2011). Second Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 17(3), 11–14.
# Atanassov, K., Angelova, N., & Atanassova, V. (2021). On an intuitionistic fuzzy form of the Goguen’s implication. Mathematics, 9(6), Article ID 676.
# Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Cham: Springer.
# Atanassova, L. (2009). A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, 9(2), 21–25.
# [[Lilija Atanassova|Atanassova, L.]] (2009). [[Issue:On some properties of intuitionistic fuzzy negation ¬@|On some properties of intuitionistic fuzzy negation ¬@]]. Notes on Intuitionistic Fuzzy Sets, 15(1), 32–35.
# Atanassova, L. (2012). [[Issue:On two modifications of the intuitionistic fuzzy implication →@|On two modifications of the intuitionistic fuzzy implication →@]]. Notes on Intuitionistic Fuzzy Sets, 18(2), 26–30.
# Atanassova, L., & Dworniczak, P. (2021). On the weak intuitionistic fuzzy implication based on ∆ operation. Notes on Intuitionistic Fuzzy Sets, 27(2), 11–19.
# Ban, A. (2017). Intuitionistic fuzzy measures and intuitionistic entropies. Granular Computation, 3, 111–122.
# Burillo, P., & Bustince, H. (1996). Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets and Systems, 78(3), 305–316.
# Bustince, H., Barrenechea, E., & Mohedano, V. (2004). Intuitionistic fuzzy implication operators-An expression and main properties. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12(03), 387–406.
# [[Chris Cornelis|Cornelis, C.]], [[Glad Deschrijver|Deschrijver, G.]], & [[Etienne Kerre|Kerre, E. E]]. (2004). Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: Construction, classification, application. International Journal of Approximate Reasoning, 35(1), 55–95.
# De Luca, A., & Termini, S. (1972). A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory. Information and Control, 20(4), 301–312.
# Dengfeng, L., & Chuntian, C. (2002). New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions. Pattern Recognition Letters, 23(1–3), 221–225.
# Fan, J., & Xie, W. (1999). Distance measure and induced fuzzy entropy. Fuzzy Sets and Systems, 104(2), 305–314.
# [[Tadeusz Gerstenkorn|Gerstenkorn, T.]], & [[Jacek Mańko|Manko, J.]] (2001). [[Issue:Intuitionistic fuzzy set energies|Intuitionistic fuzzy set energies]]. Notes on Intuitionistic Fuzzy Sets, 9(1), 41–48.
# Klir, G., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic. New Jersey: Prentice Hall.
# Kosko, B. (1986). Fuzzy entropy and conditioning. Information Sciences, 40(2), 165–174.
# [[Alžbeta Michalíková|Michalíková, A.]] (2022). [[Issue:Some notes on intuitionistic fuzzy equivalence relations and their use on real data|Some notes on intuitionistic fuzzy equivalence relations and their use on real data]]. Notes on Intuitionistic Fuzzy Sets, 28(3), 306–318.
# Montes, I., Pal, N. R., & Montes, S. (2018). Entropy measures for Atanassov intuitionistic fuzzy sets based on divergence. Soft Computing, 22(15), 5051–5071.
# [[Eulalia Szmidt|Szmidt, E.]] (1997). [[Issue:A concept of entropy for intuitionistic fuzzy sets|A concept of entropy for intuitionistic fuzzy sets]]. Notes on Intuitionistic Fuzzy Sets, 3(2), 41–52.
# [[Eulalia Szmidt|Szmidt, E.]], & [[Jim Baldwin|Baldwin, J.]] (2004). [[Issue:Entropy for intuitionistic fuzzy set theory and mass assignment theory|Entropy for intuitionistic fuzzy set theory and mass assignment theory]]. Notes on Intuitionistic Fuzzy Sets, 10(3), 15–28.
# [[Eulalia Szmidt|Szmidt, E.]], & [[Janusz Kacprzyk|Kacprzyk, J.]] (2005). [[Issue:New measures of entropy for intuitionistic fuzzy sets|New measures of entropy for intuitionistic fuzzy sets]]. Notes on Intuitionistic Fuzzy Sets, 11(2), 12–20.
# Vlachos, I. K., & Sergiadis, G. D. (2006). Inner product based entropy in the intuitionistic fuzzy setting. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 14(03), 351–366.
# Xuecheng, L. (1992). Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets and Systems, 52(3), 305–318.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.
# Zhang, Q., Xing, H., & Wu, L. (2012). Entropy, similarity measure, inclusion measure of intuitionistic fuzzy sets and their relationships. International Journal of Computational Intelligence Systems, 5(3), 519–529.
# Zhu, Y.-J., & Li, D.-F. (2016). A new definition and formula of entropy for intuitionistic fuzzy sets. Journal of Intelligent & Fuzzy Systems, 30(6), 3057–3066.

| citations =
| see-also =
}}

Category:Publications of Mihir Kumar Chakraborty

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Ifigenia Administrator: == Summary == {{upload | description = Issue:New implication deviation and entropy measures in intuitionistic fuzzy sets| | author = Ria Rejal Sharma, Santanu Acharjee, Mihir Kumar Chakraborty | source = Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2, pages 105-132 | date = 2026 | license = Creative Commons Attribution (CC BY 4.0) | other-version = }} Category:PDF files

Issue:Nifs/32/2/105-132

2026-07-18T05:45:00Z

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Issue:New implication deviation and entropy measures in intuitionistic fuzzy sets

2026-07-18T05:44:45Z

Ifigenia Administrator: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = New implication deviation and entropy measures in intuitionistic fuzzy sets | shortcut = nifs/32/2/105-132 }} {{issue/author | author = Ria Rejal Sharma | institution = Department of Mathematics, Gauhati University | address = Guwa..."

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = New implication deviation and entropy measures in intuitionistic fuzzy sets
| shortcut = nifs/32/2/105-132
}}
{{issue/author
| author = Ria Rejal Sharma
| institution = Department of Mathematics, Gauhati University
| address = Guwahati-781014, Assam, India
| email-before-at = sharmariarejal
| email-after-at = gmail.com
| orcid = 0009-0008-4032-4014
}}
{{issue/author
| author = Santanu Acharjee
| institution = Department of Mathematics, Gauhati University
| address = Guwahati-781014, Assam, India
| email-before-at = sacharjee326
| email-after-at = gmail.com
| orcid = 0000-0003-4932-3305
}}
{{issue/author
| author = Mihir Kumar Chakraborty
| institution = Department of Mathematics, University of Calcutta
| address = Kolkata-780073, West Bengal, India
| email-before-at = mihirc4
| email-after-at = gmail.com
| orcid = 0009-0003-7669-3720
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/2|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2]], pages 105–132
| doi = https://doi.org/10.7546/nifs.2026.32.2.105-132
| file = NIFS-32-2-105-132.pdf
| format = PDF
| size = 319
| abstract = This paper presents two new concepts within the framework of intuitionistic fuzzy set (IFS). An implication deviation is introduced, formulated using the implication operator together with a universal quantifier in the framework of intuitionistic fuzzy set. In addition to being a crucial analytical tool, this measure emphasizes its theoretical significance in the study of intuitionistic fuzzy sets by making it easier to define basic notions like inclusion and similarity. In addition, the paper introduces two new entropy measures, referred to as the α-intuitionistic fuzzy entropy and the β-intuitionistic fuzzy entropy, to quantify uncertainty of intuitionistic fuzzy sets. The α-intuitionistic fuzzy entropy evaluates uncertainty in terms of the deviation from the extreme situations of complete inclusion and complete exclusion. In contrast, the β-intuitionistic fuzzy entropy reflects maximum uncertainty when degrees of membership and non-membership are balanced or when the degree of hesitancy is maximal, while minimum entropy corresponds to the case, when complete inclusion or exclusion is there. Both entropy measures are constructed using the Hamming distance to ensure a consistent and intuitive representation of uncertainty.
| keywords = Intuitionistic fuzzy set, Implication deviation, Entropy.
| ams = 03B52, 03B50, 94D05.
| references =
# [[Krassimir Atanassov|Atanassov, K.]] (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Heidelberg: Physica-Verlag.
# Atanassov, K. (2011). Second Zadeh’s intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 17(3), 11–14.
# Atanassov, K., Angelova, N., & Atanassova, V. (2021). On an intuitionistic fuzzy form of the Goguen’s implication. Mathematics, 9(6), Article ID 676.
# Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Cham: Springer.
# Atanassova, L. (2009). A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, 9(2), 21–25.
# [[Lilija Atanassova|Atanassova, L.]] (2009). [[Issue:On some properties of intuitionistic fuzzy negation ¬@|On some properties of intuitionistic fuzzy negation ¬@]]. Notes on Intuitionistic Fuzzy Sets, 15(1), 32–35.
# Atanassova, L. (2012). [[Issue:On two modifications of the intuitionistic fuzzy implication →@|On two modifications of the intuitionistic fuzzy implication →@]]. Notes on Intuitionistic Fuzzy Sets, 18(2), 26–30.
# Atanassova, L., & Dworniczak, P. (2021). On the weak intuitionistic fuzzy implication based on ∆ operation. Notes on Intuitionistic Fuzzy Sets, 27(2), 11–19.
# Ban, A. (2017). Intuitionistic fuzzy measures and intuitionistic entropies. Granular Computation, 3, 111–122.
# Burillo, P., & Bustince, H. (1996). Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets and Systems, 78(3), 305–316.
# Bustince, H., Barrenechea, E., & Mohedano, V. (2004). Intuitionistic fuzzy implication operators-An expression and main properties. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12(03), 387–406.
# Cornelis, C., Deschrijver, G., & Kerre, E. E. (2004). Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: Construction, classification, application. International Journal of Approximate Reasoning, 35(1), 55–95.
# De Luca, A., & Termini, S. (1972). A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory. Information and Control, 20(4), 301–312.
# Dengfeng, L., & Chuntian, C. (2002). New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions. Pattern Recognition Letters, 23(1–3), 221–225.
# Fan, J., & Xie, W. (1999). Distance measure and induced fuzzy entropy. Fuzzy Sets and Systems, 104(2), 305–314.
# [[Tadeusz Gerstenkorn|Gerstenkorn, T.]], & [[Jacek Mańko|Manko, J.]] (2001). [[Issue:Intuitionistic fuzzy set energies|Intuitionistic fuzzy set energies]]. Notes on Intuitionistic Fuzzy Sets, 9(1), 41–48.
# Klir, G., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic. New Jersey: Prentice Hall.
# Kosko, B. (1986). Fuzzy entropy and conditioning. Information Sciences, 40(2), 165–174.
# [[Alžbeta Michalíková|Michalíková, A.]] (2022). [[Issue:Some notes on intuitionistic fuzzy equivalence relations and their use on real data|Some notes on intuitionistic fuzzy equivalence relations and their use on real data]]. Notes on Intuitionistic Fuzzy Sets, 28(3), 306–318.
# Montes, I., Pal, N. R., & Montes, S. (2018). Entropy measures for Atanassov intuitionistic fuzzy sets based on divergence. Soft Computing, 22(15), 5051–5071.
# [[Eulalia Szmidt|Szmidt, E.]] (1997). [[Issue:A concept of entropy for intuitionistic fuzzy sets|A concept of entropy for intuitionistic fuzzy sets]]. Notes on Intuitionistic Fuzzy Sets, 3(2), 41–52.
# [[Eulalia Szmidt|Szmidt, E.]], & [[Jim Baldwin|Baldwin, J.]] (2004). [[Issue:Entropy for intuitionistic fuzzy set theory and mass assignment theory|Entropy for intuitionistic fuzzy set theory and mass assignment theory]]. Notes on Intuitionistic Fuzzy Sets, 10(3), 15–28.
# [[Eulalia Szmidt|Szmidt, E.]], & [[Janusz Kacprzyk|Kacprzyk, J.]] (2005). [[Issue:New measures of entropy for intuitionistic fuzzy sets|New measures of entropy for intuitionistic fuzzy sets]]. Notes on Intuitionistic Fuzzy Sets, 11(2), 12–20.
# Vlachos, I. K., & Sergiadis, G. D. (2006). Inner product based entropy in the intuitionistic fuzzy setting. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 14(03), 351–366.
# Xuecheng, L. (1992). Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets and Systems, 52(3), 305–318.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.
# Zhang, Q., Xing, H., & Wu, L. (2012). Entropy, similarity measure, inclusion measure of intuitionistic fuzzy sets and their relationships. International Journal of Computational Intelligence Systems, 5(3), 519–529.
# Zhu, Y.-J., & Li, D.-F. (2016). A new definition and formula of entropy for intuitionistic fuzzy sets. Journal of Intelligent & Fuzzy Systems, 30(6), 3057–3066.

| citations =
| see-also =
}}

Notes on Intuitionistic Fuzzy Sets/32/2

2026-07-18T05:33:50Z

Ifigenia Administrator: 105-132

ICIFS-2026

2026-07-17T07:22:16Z

Ifigenia Administrator: /* Registration */ NEW EXTENDED DEADLINES

{| width ="100%" |
|- valign="medium"
| <div align="center" style="font-size: 175%;">
'''29<sup>th</sup> International Conference on Intuitionistic Fuzzy Sets''' <br /> 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]]<br/><br/>
<center> '''Since 2013 ICIFS has been an <br/>[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]]<BR/><BR/>
<div style="text-align:center; font-size:125%; font-weight:bold;">Important dates</div>
-------
; <font color="red">'''NEW Extended: 15 AUGUST 2026'''</font>
: Submission of manuscripts<br/>
; <font color="red">'''NEW Extended: 15 SEPTEMBER 2026''' </font>
: Peer review process complete, <br/>notification of acceptance
; <font color="red">'''NEW Extended: 1 OCTOBER 2026''' </font>
: Submission of revised versions. Payment of early conference fees
; '''15 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
|-
| <font color="red">'''NEW Extended: 1 OCTOBER 2026''' </font>
| EUR 150.00 || EUR 90.00
|-
| '''Late payment:''' 15 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__

ICIFS-2026

2026-07-17T07:21:27Z

Ifigenia Administrator: UPDATED DEADLINES

{| width ="100%" |
|- valign="medium"
| <div align="center" style="font-size: 175%;">
'''29<sup>th</sup> International Conference on Intuitionistic Fuzzy Sets''' <br /> 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]]<br/><br/>
<center> '''Since 2013 ICIFS has been an <br/>[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]]<BR/><BR/>
<div style="text-align:center; font-size:125%; font-weight:bold;">Important dates</div>
-------
; <font color="red">'''NEW Extended: 15 AUGUST 2026'''</font>
: Submission of manuscripts<br/>
; <font color="red">'''NEW Extended: 15 SEPTEMBER 2026''' </font>
: Peer review process complete, <br/>notification of acceptance
; <font color="red">'''NEW Extended: 1 OCTOBER 2026''' </font>
: Submission of revised versions. Payment of early conference fees
; '''15 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
|-
| <font color="red">'''Extended: 31 August 2026''' </font>
| 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__

MediaWiki:Sitenotice

2026-07-17T07:20:07Z

Ifigenia Administrator:

<div style="padding:1em;background-color:#FFFAF0;"><center><span style="font-size:125%;">'''New submissions to International Journal "[[Notes on Intuitionistic Fuzzy Sets|Notes on Intuitionistic Fuzzy Sets]]" are <font color="red">temporarily suspended from 1 June until 1 September 2026.</font>'''</span><br>
[[Notes on Intuitionistic Fuzzy Sets|Read here the full announcement.]]</center></div>
-----------
<div style="padding:1em; background-color:#F0F8FF;"><center><span style="font-size:125%;">'''Open Call for Papers:''' [[ICIFS-2026|29<sup>th</sup> International Conference on Intuitionistic Fuzzy Sets]] • 6–7 November 2026 • Sofia, Bulgaria / Online </span><br><font color="red">'''NEW EXTENDED deadline for submissions: 15 AUGUST 2026.'''</font><div>

MediaWiki:Sitenotice

2026-07-17T07:19:53Z

Ifigenia Administrator: NEW EXTENDED deadline for submissions: 15 August 2026

Notes on Intuitionistic Fuzzy Sets

2026-06-07T14:00:20Z

Ifigenia Administrator: SJR(2025) = 0.219

{{:Notes on Intuitionistic Fuzzy Sets/header}}
{| style="font-size:120%; text-align:center; float:right; border:1px solid #BBB; padding:1em"
|-
| colspan="2" | [[Image:NIFS-logo.png|right|200px]]
|-
| Print ISSN || '''1310-4926'''
|-
| Online ISSN || '''2367-8283'''
|-
| DOI || '''10.7546/nifs'''
|-
| SJR (2025)|| '''[https://www.scimagojr.com/journalsearch.php?q=21101241973&tip=sid&clean=0 0.219]'''
|-
| Scopus Quartile || '''[https://www.scimagojr.com/journalsearch.php?q=21101241973&tip=sid&clean=0 Q3]'''
|}
__NOTOC__

'''Notes on Intuitionistic Fuzzy Sets''' is an international scientific journal, specialized in the theory and application of [[intuitionistic fuzzy sets]] and logics as an interdisciplinary field at the cross point between mathematics and engineering sciences.

== <font color="#D33682">IMPORTANT ANNOUNCEMENT: Temporary suspension of new submissions</font> ==

'''Effective 1 June 2026, Notes on Intuitionistic Fuzzy Sets (NIFS) will temporarily suspend new manuscript submissions for a period of three months.'''

In recent months, the number of submitted manuscripts has grown significantly, creating a workload that exceeds the current capacity of our dedicated team of volunteer editors and peer reviewers. High-quality peer review—an essential element of our Journal’s integrity—requires time, care, and the availability of qualified experts. To safeguard the rigor and quality of our editorial process and maintain our status of a non-commercial, academic-owned journal, we have chosen to pause new submissions while we focus on the thorough review and production of manuscripts already under consideration.

'''We anticipate reopening for new submissions on 1 September 2026.'''

Our entire archive of published articles remains freely accessible in the interest of open and equitable access to knowledge.

We sincerely thank all our authors for their understanding and patience, and we extend our deepest gratitude to our Editorial Board members and volunteer reviewers for their expertise, commitment, and invaluable contributions to the advancement of mathematical research.

== <font color="#D33682">Scope</font> ==

Having started in 1995, Notes on Intuitionistic Fuzzy Sets is the first and one of the leading scientific journals, exclusively publishing research in this field of science, as defined by the strict journal's scope and Editorial policy. Created in 1983 in Bulgaria by Prof. [[Krassimir Atanassov]], the area of intuitionistic fuzzy sets has gained worldwide popularity and today it is being investigated by many international research groups from universities and research centres in Australia, Belgium, China, Greece, India, Morocco, Poland, Portugal, Romania, Slovakia, Spain, Turkey, United Kingdom, and other countries.

The journal is one of the three official issues of the Institute of Biophysics and Biomedical Engineering of the Bulgarian Academy of Sciences (see http://biomed.bas.bg/bg/journals/). It is published by the "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences under '''Print ISSN 1310-4926, e-ISSN 2367-8283''' and '''DOI 10.7546/nifs''' (as of 2018).

Since 1997, the Journal has been hosting the proceedings of the [[International Conference on Intuitionistic Fuzzy Sets]], organized on annual basis in Sofia or Burgas, Bulgaria. Since 2005, it has also included the proceedings of the [[International Workshop on Intuitionistic Fuzzy Sets]], annually conducted in Banská Bystrica, Slovakia.

== <font color="#D33682">Review process</font> ==

All papers and conference reports in "Notes on Intuitionistic Fuzzy Sets" pass through a rigorous process of review before being accepted for publication. The editorial board of the journal is international with representatives from Australia, Belgium, Bulgaria, France, Germany, India, Mexico, Poland, Romania, Slovakia, Turkey, United Kingdom, USA, who are renowned specialists in the area of fuzzy and intuitionistic fuzzy sets and logics. For acceptance for publication, two positive single blind peer reviews are required by independent reviewers. Strict ethical publication policy applies to all journal editors, reviewers and authors.

Papers will only be considered if the content is substantially new, original material which has not been published elsewhere, has not been submitted concurrently elsewhere, nor is likely to be published substantially in the same form elsewhere. NNTDM reserves the right to conduct a preliminary screening (triage) of the manuscripts and desk reject without further peer review any submissions that are out of the thematic scope of the Journal, not formatted in accordance with the Journal’s templates and requirements, or feature content below the level of a scientific journal.

Authors are welcome to suggest two or three names of potential reviewers with their Scopus profiles and email addresses. Please note that these potential reviewers shall not share the same affiliation and country of residence with any of the coauthors of the submitted manuscript. Further, a Scopus h-index of at least 5 is required. However, NNTDM reserves the right to invite for reviewers other specialists than those proposed.

== <font color="#D33682">Indexing</font> ==

<font color="#D33682">'''As of June 2025, "Notes on Intuitionistic Fuzzy Sets" has been assigned Scopus Journal Rank and quartile. The 2025 SJR is 0.219 and the 2025 Scopus quartile is Q3.''' As of August 2024, the contents of "Notes on Intuitionistic Fuzzy Sets", published as of 2020, is being indexed in Scopus.</font>

In addition, the journal is indexed at the following databases: CrossRef, DOAJ (Directory of Open Access Journals), ISSN Portal, OpenAlex, Scilit by MDPI, WorldCat / OCLC, and Zentralblatt MATH (1995-2017).

As of its beginning in 1995, Journal copies are archived in the “St. St. Cyril and Methodius” National Library of Bulgaria and in the Nacional Centre for Information and Documentation of Bulgaria (NACID).

== <font color="#D33682">Pricing</font> ==

International Journal “Notes on Intuitionistic Fuzzy Sets” is a non-commercial all-volunteer journal.

✓ '''We do NOT charge authors''' with article publication charges.

✓ '''We do NOT charge readers''' with access fees.

✓ In electronic version, the full NIFS contents is available free-of-charge through the Journal website.

Additionally, NNTDM offers its authors and readers the opportunity to purchase copies or make annual subscription to the printed version of the Journal. We accept bank transfers and issue invoices.

Prices (as of January 2025):

* Price for a single copy of any volume/number – 60 EUR
* Annual subscription (4 copies/year) – 240 EUR

Details for bank transfer:

* '''Account holder:''' Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
* '''Holder address:''' 21 Acad. Georgi Bonchev Str., Sofia 1113, Bulgaria
* '''Bank name:''' UniCredit Bulbank, Branch “Kaloyan”
* '''Bank address:''' 7 Sveta Nedelya Sq., Sofia 1000, Bulgaria
* '''Bank account number / IBAN:''' BG47 UNCR 7630 3400 0011 99
* '''Bank SWIFT / BIC:''' UNCRBGSF

'''Please note that all bank charges are on the account of the ordering side (you).''' The postal charges for the delivery are on behalf of the Journal (us).

Please let us know by email (nntdm.journal@gmail.com) which issues you would like to purchase, as well as provide the necessary invoice details and postal address for delivery.

We issue invoices for every bank transfer that we receive.

'''For an institutional invoice''', please submit the following information:
* Name of the organization (obligatory)
* VAT number of the organization (obligatory)
* Delivery address (obligatory)
* Billing address (optional)
* Person in charge (optional)

'''For an individual invoice''', please submit the following information:
* Name of the recipient (obligatory)
* Personal identification number (obligatory)
* Delivery address (obligatory)

Please let us know if you need a preliminary proforma invoice.

For delivery, we use the services of the Bulgarian National Posts and provide links with tracking numbers for every delivery.

== <font color="#D33682">Impact</font> ==

Scientific research published in the Journal has constantly increased its outreach to the international research community working in the area of intuitionistic fuzzy sets.

As of June 2025, "Notes on Intuitionistic Fuzzy Sets" has been assigned Scopus Journal Rank and quartile. The 2025 SJR is 0.219 and the 2025 Scopus quartile is Q3.

According to data from Scopus (July 2025), [https://www.scopus.com/results/results.uri?st1=%22notes+on+intuitionistic+fuzzy+sets%22&st2=&s=REF%28%22notes+on+intuitionistic+fuzzy+sets%22%29&limit=10&origin=searchbasic&sort=plf-f&src=s&sot=b&sdt=b&sessionSearchId=bf19d29a00e8c2f776f225c7a8d2e00b more than 2200 publications, indexed in Scopus, have cited papers] from Notes on Intuitionistic Fuzzy Sets, as of the beginning of the Journal's publication in 1995.

More than 210 papers from NIFS, all dated 2020 and later, are now [https://www.scopus.com/results/results.uri?st1=%22notes+on+intuitionistic+fuzzy+sets%22&st2=&s=SRCTITLE%28%22notes+on+intuitionistic+fuzzy+sets%22%29&limit=10&origin=searchbasic&sort=plf-f&src=s&sot=b&sdt=b&sessionSearchId=bf19d29a00e8c2f776f225c7a8d2e00b indexed in Scopus].

== <font color="#D33682">Acknowledgements</font> ==

International Journal "Notes on Intuitionistic Fuzzy Sets" is supported by the Bulgarian National Science Fund:
* Grant No. '''DNP-05-37/2016''' for Volume 23, Numbers 1-4, year 2017
* Grant No. '''DNP-06-08/2017''' for Volume 24, Numbers 1-4, year 2018
* Grant No. '''KP-06-NP-19/2018''' for Volume 25, Numbers 1-4, year 2019
* Grant No. '''KP-06-NP1-28/2019''' for Volume 26, Numbers 1-4, year 2020
* Grant No. '''KP-06-NP2-23/2020''' for Volume 27, Numbers 1-4, year 2021
* Grant No. '''KP-06-NP3-44/2021''' for Volume 28, Numbers 1-4, year 2022
* Grant No. '''KP-06-NP4-22/2022''' for Volume 29, Numbers 1-4, year 2023
* Grant No. '''KP-06-NP6-7/2024''' for Volume 31, Numbers 1-4, year 2025

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

== <font color="#D33682">Contacts</font> ==

For submissions and communication: <font color="#268BD2"><tt>nifs.journal@gmail.com</tt></font> '''with CC to''' <font color="#268BD2"><tt>k.t.atanassov@gmail.com</tt></font>

For postal correspondence:
* Acad. Krassimir Atanassov
* Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
* Address: 105 "Acad. Georgi Bonchev" Str., Sofia 1113, Bulgaria

[[Category:Notes on IFS| ]]
[[Category:Journals]]
[[Category:Intuitionistic fuzzy sets]]

IWIFS-2025

2026-05-18T10:29:44Z

Ifigenia Administrator:

Dear friends of intuitionistic fuzzy sets and their applications!

[[File:IWIFS_BB_2025_call_for_papers.jpg|400px|thumb|right|[[Media:IWIFS BB 2025 call for papers.pdf|'''Download Brochure (PDF, 100Kb)''']]]]
We cordially invite you to the [[International Workshop on Intuitionistic Fuzzy Sets]], which was founded by Prof. [[Beloslav Riečan]] in Banská Bystrica in 2005. The workshop will be held on December 12, 2025, online via platform MS Teams. Selected contributions will be published as part of International Journal [[Notes on Intuitionistic Fuzzy Sets]] in [[Notes on Intuitionistic Fuzzy Sets/31/4|Volume 31, Number 4]] (2025) and [[Notes on Intuitionistic Fuzzy Sets/32/1|Volume 32, Number 1]] (2026). Participation in the workshop will be free of admission fee.

If you are willing to attend the Workshop, please send an email to:
: RNDr. Katarína Čunderlíková, PhD., MÚ SAV BB
: [mailto:cunderlikova.lendelova@gmail.com cunderlikova.lendelova@gmail.com]
to obtain a link to the MS Teams session.

== Workshop Programme ==

{| class="wikitable" width="100%"
! width="15%" | SK time (CEST)
! width="15%" | Presenter's local time
! width="35%" | Author(s) / <u>Presenter</u>
! width="35%" | Paper title
|-
! 11:00 – 11:10||
! colspan=3 |
OPENING CEREMONY<BR/>
Katarína Čunderlíková
|-
| 11:10 – 11:50 || 12:10 – 12:50 || '''[[Krassimir Atanassov]]''' || [[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]]
|-
| 11:50 – 12:10 || 16:20 – 16:40 || '''[[R. Jeevitha]]''', [[M. Rowthri]], [[S. Meenakshi]], [[V. Madhuri]] || [[Issue:Intuitionistic fuzzy hemiring structure spaces|Intuitionistic fuzzy hemiring structure spaces]]
|-
| 12:10 – 12:30 || || '''[[Katarína Čunderlíková]]''' || [[Issue:Invariant intuitionistic fuzzy observables|Invariant intuitionistic fuzzy observables]]
|-
| 12:30 – 12:50 || || '''[[Vladimír Kobza]]''' || [[Issue:Rational divergence measures on intuitionistic fuzzy sets|Rational divergence measures on intuitionistic fuzzy sets]]
|-
! 12:50 – 13:20 !!
! colspan=4 | COFFEE BREAK
|-
| 13:20 – 13:40 || 14:20 – 14:40 || [[Ivo Umlenski]], '''[[Vassia Atanassova]]''', [[Peter Vassilev]], [[Simeon Ribagin]], [[Nora Angelova]], [[Nikolay Andreev]] || Understanding blood donation attitudes in Bulgaria using an intuitionistic fuzzy sets based approach with graded scales
|-
| 13:40 – 14:00 || 14:40 – 15:00 || [[Deyan Mavrov]], '''[[Georgi Palichev]]''', [[Veselina Bureva]], [[Simeon Ribagin]] || [[Issue:Software for InterCriteria Analysis: Implementation of a normalization step before data processing|Software for InterCriteria Analysis: Implementation of a normalization step before data processing]]
|-
| 14:00 – 14:20 || 15:00 – 15:20 || '''[[Ivan Kavaldzhiev]]''', [[Velin Andonov]], [[Stoyan Poryazov]] || [[Issue:Analysis of the uncertainty of the service of requests at the attestation stage of a blockchain in an overall telecommunication system|Analysis of the uncertainty of the service of requests at the attestation stage of a blockchain in an overall telecommunication system]]
|-
| 14:20 – 14:40 || 15:20 – 15:40 || '''[[Veselina Bureva]]''', [[Krassimir Atanassov]] || [[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]]
|-
!14:40 – 15:00 !!
! colspan=3 |
CLOSING CEREMONY<BR/>
[[Katarína Čunderlíková]]<BR/>
CONCERT <BR/>
Piano: Tereza Čunderlíková<BR/>
Cello: Andrea Čunderlíková

|}

[[Category:Conferences in 2025 year]]

MediaWiki:Sitenotice

2026-05-18T09:53:41Z

Ifigenia Administrator:

<div style="padding:1em;background-color:#FFFAF0;"><center><span style="font-size:125%;">'''New submissions to International Journal "[[Notes on Intuitionistic Fuzzy Sets|Notes on Intuitionistic Fuzzy Sets]]" are <font color="red">temporarily suspended from 1 June until 1 September 2026.</font>'''</span><br>
[[Notes on Intuitionistic Fuzzy Sets|Read here the full announcement.]]</center></div>
-----------
<div style="padding:1em; background-color:#F0F8FF;"><center><span style="font-size:125%;">'''Open Call for Papers:''' [[ICIFS-2026|29<sup>th</sup> International Conference on Intuitionistic Fuzzy Sets]] • 6–7 November 2026 • Sofia, Bulgaria / Online </span><br><font color="red">'''EXTENDED deadline for submissions: 15 June 2026.'''</font><div>

MediaWiki:Sitenotice

2026-05-18T09:53:25Z

Ifigenia Administrator:

<div style="padding:1em;background-color:#FFFAF0;"><center><span style="font-size:125%;">'''New submissions to International Journal "[[Notes on Intuitionistic Fuzzy Sets|Notes on Intuitionistic Fuzzy Sets]]" are <font color="red">temporarily suspended from 1 June until 1 September 2026.</font>'''</span><br>
[[Notes on Intuitionistic Fuzzy Sets/Policy|Read here the full announcement.]]</center></div>
-----------
<div style="padding:1em; background-color:#F0F8FF;"><center><span style="font-size:125%;">'''Open Call for Papers:''' [[ICIFS-2026|29<sup>th</sup> International Conference on Intuitionistic Fuzzy Sets]] • 6–7 November 2026 • Sofia, Bulgaria / Online </span><br><font color="red">'''EXTENDED deadline for submissions: 15 June 2026.'''</font><div>

MediaWiki:Sitenotice

2026-05-18T09:52:57Z

Ifigenia Administrator: IMPORTANT ANNOUNCEMENT: Temporary suspension of new submissions

<div style="padding:1em;background-color:#FFFAF0;"><center><span style="font-size:125%;">'''New submissions to International Journal "[[Notes on Intuitionistic Fuzzy Sets|Notes on Intuitionistic Fuzzy Sets]]" are temporarily suspended from 1 June until 1 September 2026.'''</span><br>
[[Notes on Intuitionistic Fuzzy Sets/Policy|Read here the full announcement.]]</center></div>
-----------
<div style="padding:1em; background-color:#F0F8FF;"><center><span style="font-size:125%;">'''Open Call for Papers:''' [[ICIFS-2026|29<sup>th</sup> International Conference on Intuitionistic Fuzzy Sets]] • 6–7 November 2026 • Sofia, Bulgaria / Online </span><br><font color="red">'''EXTENDED deadline for submissions: 15 June 2026.'''</font><div>

Notes on Intuitionistic Fuzzy Sets

2026-05-18T09:51:22Z

Ifigenia Administrator: IMPORTANT ANNOUNCEMENT: Temporary suspension of new submissions

{{:Notes on Intuitionistic Fuzzy Sets/header}}
{| style="font-size:120%; text-align:center; float:right; border:1px solid #BBB; padding:1em"
|-
| colspan="2" | [[Image:NIFS-logo.png|right|200px]]
|-
| Print ISSN || '''1310-4926'''
|-
| Online ISSN || '''2367-8283'''
|-
| DOI || '''10.7546/nifs'''
|-
| SJR (2024)|| '''[https://www.scimagojr.com/journalsearch.php?q=21101241973&tip=sid&clean=0 0.258]'''
|-
| Scopus Quartile || '''[https://www.scimagojr.com/journalsearch.php?q=21101241973&tip=sid&clean=0 Q3]'''
|}
__NOTOC__

'''Notes on Intuitionistic Fuzzy Sets''' is an international scientific journal, specialized in the theory and application of [[intuitionistic fuzzy sets]] and logics as an interdisciplinary field at the cross point between mathematics and engineering sciences.

== <font color="#D33682">IMPORTANT ANNOUNCEMENT: Temporary suspension of new submissions</font> ==

'''Effective 1 June 2026, Notes on Intuitionistic Fuzzy Sets (NIFS) will temporarily suspend new manuscript submissions for a period of three months.'''

In recent months, the number of submitted manuscripts has grown significantly, creating a workload that exceeds the current capacity of our dedicated team of volunteer editors and peer reviewers. High-quality peer review—an essential element of our Journal’s integrity—requires time, care, and the availability of qualified experts. To safeguard the rigor and quality of our editorial process and maintain our status of a non-commercial, academic-owned journal, we have chosen to pause new submissions while we focus on the thorough review and production of manuscripts already under consideration.

'''We anticipate reopening for new submissions on 1 September 2026.'''

Our entire archive of published articles remains freely accessible in the interest of open and equitable access to knowledge.

We sincerely thank all our authors for their understanding and patience, and we extend our deepest gratitude to our Editorial Board members and volunteer reviewers for their expertise, commitment, and invaluable contributions to the advancement of mathematical research.

== <font color="#D33682">Scope</font> ==

Having started in 1995, Notes on Intuitionistic Fuzzy Sets is the first and one of the leading scientific journals, exclusively publishing research in this field of science, as defined by the strict journal's scope and Editorial policy. Created in 1983 in Bulgaria by Prof. [[Krassimir Atanassov]], the area of intuitionistic fuzzy sets has gained worldwide popularity and today it is being investigated by many international research groups from universities and research centres in Australia, Belgium, China, Greece, India, Morocco, Poland, Portugal, Romania, Slovakia, Spain, Turkey, United Kingdom, and other countries.

The journal is one of the three official issues of the Institute of Biophysics and Biomedical Engineering of the Bulgarian Academy of Sciences (see http://biomed.bas.bg/bg/journals/). It is published by the "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences under '''Print ISSN 1310-4926, e-ISSN 2367-8283''' and '''DOI 10.7546/nifs''' (as of 2018).

Since 1997, the Journal has been hosting the proceedings of the [[International Conference on Intuitionistic Fuzzy Sets]], organized on annual basis in Sofia or Burgas, Bulgaria. Since 2005, it has also included the proceedings of the [[International Workshop on Intuitionistic Fuzzy Sets]], annually conducted in Banská Bystrica, Slovakia.

== <font color="#D33682">Review process</font> ==

All papers and conference reports in "Notes on Intuitionistic Fuzzy Sets" pass through a rigorous process of review before being accepted for publication. The editorial board of the journal is international with representatives from Australia, Belgium, Bulgaria, France, Germany, India, Mexico, Poland, Romania, Slovakia, Turkey, United Kingdom, USA, who are renowned specialists in the area of fuzzy and intuitionistic fuzzy sets and logics. For acceptance for publication, two positive single blind peer reviews are required by independent reviewers. Strict ethical publication policy applies to all journal editors, reviewers and authors.

Papers will only be considered if the content is substantially new, original material which has not been published elsewhere, has not been submitted concurrently elsewhere, nor is likely to be published substantially in the same form elsewhere. NNTDM reserves the right to conduct a preliminary screening (triage) of the manuscripts and desk reject without further peer review any submissions that are out of the thematic scope of the Journal, not formatted in accordance with the Journal’s templates and requirements, or feature content below the level of a scientific journal.

Authors are welcome to suggest two or three names of potential reviewers with their Scopus profiles and email addresses. Please note that these potential reviewers shall not share the same affiliation and country of residence with any of the coauthors of the submitted manuscript. Further, a Scopus h-index of at least 5 is required. However, NNTDM reserves the right to invite for reviewers other specialists than those proposed.

== <font color="#D33682">Indexing</font> ==

<font color="#D33682">'''As of June 2025, "Notes on Intuitionistic Fuzzy Sets" has been assigned SJR = 0.258 and Scopus quartile Q3.''' As of August 2024, "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus (content published as of 2020).</font>

In addition, the journal is indexed at the following databases: CrossRef, DOAJ (Directory of Open Access Journals), ISSN Portal, OpenAlex, Scilit by MDPI, WorldCat / OCLC, and Zentralblatt MATH (1995-2017).

As of its beginning in 1995, Journal copies are archived in the “St. St. Cyril and Methodius” National Library of Bulgaria and in the Nacional Centre for Information and Documentation of Bulgaria (NACID).

== <font color="#D33682">Pricing</font> ==

International Journal “Notes on Intuitionistic Fuzzy Sets” is a non-commercial all-volunteer journal.

✓ '''We do NOT charge authors''' with article publication charges.

✓ '''We do NOT charge readers''' with access fees.

✓ In electronic version, the full NIFS contents is available free-of-charge through the Journal website.

Additionally, NNTDM offers its authors and readers the opportunity to purchase copies or make annual subscription to the printed version of the Journal. We accept bank transfers and issue invoices.

Prices (as of January 2025):

* Price for a single copy of any volume/number – 60 EUR
* Annual subscription (4 copies/year) – 240 EUR

Details for bank transfer:

* '''Account holder:''' Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
* '''Holder address:''' 21 Acad. Georgi Bonchev Str., Sofia 1113, Bulgaria
* '''Bank name:''' UniCredit Bulbank, Branch “Kaloyan”
* '''Bank address:''' 7 Sveta Nedelya Sq., Sofia 1000, Bulgaria
* '''Bank account number / IBAN:''' BG47 UNCR 7630 3400 0011 99
* '''Bank SWIFT / BIC:''' UNCRBGSF

'''Please note that all bank charges are on the account of the ordering side (you).''' The postal charges for the delivery are on behalf of the Journal (us).

Please let us know by email (nntdm.journal@gmail.com) which issues you would like to purchase, as well as provide the necessary invoice details and postal address for delivery.

We issue invoices for every bank transfer that we receive.

'''For an institutional invoice''', please submit the following information:
* Name of the organization (obligatory)
* VAT number of the organization (obligatory)
* Delivery address (obligatory)
* Billing address (optional)
* Person in charge (optional)

'''For an individual invoice''', please submit the following information:
* Name of the recipient (obligatory)
* Personal identification number (obligatory)
* Delivery address (obligatory)

Please let us know if you need a preliminary proforma invoice.

For delivery, we use the services of the Bulgarian National Posts and provide links with tracking numbers for every delivery.

== <font color="#D33682">Impact</font> ==

Scientific research published in the Journal has constantly increased its outreach to the international research community working in the area of intuitionistic fuzzy sets.

As of July 2025, NIFS has Scopus Journal Rank (SJR) for 2024 equal to 0.258, and Scopus quartile Q3.

According to data from Scopus (July 2025), [https://www.scopus.com/results/results.uri?st1=%22notes+on+intuitionistic+fuzzy+sets%22&st2=&s=REF%28%22notes+on+intuitionistic+fuzzy+sets%22%29&limit=10&origin=searchbasic&sort=plf-f&src=s&sot=b&sdt=b&sessionSearchId=bf19d29a00e8c2f776f225c7a8d2e00b more than 2000 publications, indexed in Scopus, have cited papers] from Notes on Intuitionistic Fuzzy Sets, as of the beginning of the Journal's publication in 1995.

More than 170 papers from NIFS are now [https://www.scopus.com/results/results.uri?st1=%22notes+on+intuitionistic+fuzzy+sets%22&st2=&s=SRCTITLE%28%22notes+on+intuitionistic+fuzzy+sets%22%29&limit=10&origin=searchbasic&sort=plf-f&src=s&sot=b&sdt=b&sessionSearchId=bf19d29a00e8c2f776f225c7a8d2e00b indexed in Scopus], which is the Journal's contents as of the beginning of 2020.

== <font color="#D33682">Acknowledgements</font> ==

International Journal "Notes on Intuitionistic Fuzzy Sets" is supported by the Bulgarian National Science Fund:
* Grant No. '''DNP-05-37/2016''' for Volume 23, Numbers 1-4, year 2017
* Grant No. '''DNP-06-08/2017''' for Volume 24, Numbers 1-4, year 2018
* Grant No. '''KP-06-NP-19/2018''' for Volume 25, Numbers 1-4, year 2019
* Grant No. '''KP-06-NP1-28/2019''' for Volume 26, Numbers 1-4, year 2020
* Grant No. '''KP-06-NP2-23/2020''' for Volume 27, Numbers 1-4, year 2021
* Grant No. '''KP-06-NP3-44/2021''' for Volume 28, Numbers 1-4, year 2022
* Grant No. '''KP-06-NP4-22/2022''' for Volume 29, Numbers 1-4, year 2023
* Grant No. '''KP-06-NP6-7/2024''' for Volume 31, Numbers 1-4, year 2025

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

== <font color="#D33682">Contacts</font> ==

For submissions and communication: <font color="#268BD2"><tt>nifs.journal@gmail.com</tt></font> '''with CC to''' <font color="#268BD2"><tt>k.t.atanassov@gmail.com</tt></font>

For postal correspondence:
* Acad. Krassimir Atanassov
* Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
* Address: 105 "Acad. Georgi Bonchev" Str., Sofia 1113, Bulgaria

[[Category:Notes on IFS| ]]
[[Category:Journals]]
[[Category:Intuitionistic fuzzy sets]]