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Issue:Intuitionistic fuzzy modal operators in an entropy-weighted TOPSIS framework

Ifigenia Administrator — Wed, 04 Nov 2026 15:31:10 GMT

← Older revision		Revision as of 17:31, 4 November 2026
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	\| file = NIFS-32-3-280-295.pdf		\| file = NIFS-32-3-280-295.pdf
	\| format = PDF		\| format = PDF
	\| size = ~~1001~~		\| size = 1320
	\| abstract = Parametric intuitionistic fuzzy modal operators redistribute the degree of uncertainty in intuitionistic fuzzy evaluations by transforming their membership and non-membership degrees. This paper examines the effect of applying the E_(α,β) and Z_(α,β)^ω operators to the decision matrix in the entropy-weighted heuristic fuzzy TOPSIS method, where the criterion weights are derived from the Ye, Wang, Wu–Zhang, and Guo entropy measures. Since both operators are affine transformations with a common contraction coefficient of αβ, we show that their direct application to the evaluations in the Euclidean-based TOPSIS method does not alter the proximity coefficients; thus, the effect of these operators manifests solely through the recalculation of entropy weights and the nonlinear weighting step. A numerical example with four alternatives and six criteria, in which all details are defined, shows that in 38 of the 44 operator-entropy combinations considered, the transformations altered the ranking and, in each case, replaced the preferred alternative with a different option; the primary source of these changes is the recalculation of the weights. Analyses examining the parameters individually reveal how the values of α, β, and ω trigger these changes. The results suggest that modal operators should be considered more as a sensitivity analysis tool for the entropy-weighted TOPSIS method rather than as tools that improve the method in a way that preserves the ranking.		\| abstract = Parametric intuitionistic fuzzy modal operators redistribute the degree of uncertainty in intuitionistic fuzzy evaluations by transforming their membership and non-membership degrees. This paper examines the effect of applying the E_(α,β) and Z_(α,β)^ω operators to the decision matrix in the entropy-weighted heuristic fuzzy TOPSIS method, where the criterion weights are derived from the Ye, Wang, Wu–Zhang, and Guo entropy measures. Since both operators are affine transformations with a common contraction coefficient of αβ, we show that their direct application to the evaluations in the Euclidean-based TOPSIS method does not alter the proximity coefficients; thus, the effect of these operators manifests solely through the recalculation of entropy weights and the nonlinear weighting step. A numerical example with four alternatives and six criteria, in which all details are defined, shows that in 38 of the 44 operator-entropy combinations considered, the transformations altered the ranking and, in each case, replaced the preferred alternative with a different option; the primary source of these changes is the recalculation of the weights. Analyses examining the parameters individually reveal how the values of α, β, and ω trigger these changes. The results suggest that modal operators should be considered more as a sensitivity analysis tool for the entropy-weighted TOPSIS method rather than as tools that improve the method in a way that preserves the ranking.
	\| keywords = Intuitionistic fuzzy sets, Intuitionistic fuzzy modal operators, Intuitionistic fuzzy entropy, TOPSIS, Multi-criteria decision-making, Sensitivity analysis.		\| keywords = Intuitionistic fuzzy sets, Intuitionistic fuzzy modal operators, Intuitionistic fuzzy entropy, TOPSIS, Multi-criteria decision-making, Sensitivity analysis.

Issue:Nifs/32/3/280-295

Ifigenia Administrator — Wed, 04 Nov 2026 15:30:48 GMT

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Issue:Intuitionistic fuzzy modal operators in an entropy-weighted TOPSIS framework

Ifigenia Administrator — Wed, 04 Nov 2026 15:30:34 GMT

Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = Intuitionistic fuzzy modal operators in an entropy-weighted TOPSIS framework | shortcut = nifs/32/3/280-295 }} {{issue/author | author = Gökhan Çuvalcıoğlu | institution = Department of Mathematics, Faculty of Sciences, Mersin University..."

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = Intuitionistic fuzzy modal operators in an entropy-weighted TOPSIS framework
| shortcut = nifs/32/3/280-295
}}
{{issue/author
| author = Gökhan Çuvalcıoğlu
| institution = Department of Mathematics, Faculty of Sciences, Mersin University
| address = Mersin, Türkiye
| email-before-at = gcuvalcioglu
| email-after-at = mersin.edu.tr
| orcid = 0000-0001-5451-3336
}}
{{issue/author
| author = Sinem Tarsuslu (Yılmaz)
| institution = Department of Natural and Math. Sciences, Faculty of Engineering, Tarsus University
| address = Tarsus, Türkiye
| email-before-at = sinemtarsuslu
| email-after-at = tarsus.edu.tr
| orcid = 0000-0001-9192-7001
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 280–295
| doi = https://doi.org/10.7546/nifs.2026.32.3.280-295
| file = NIFS-32-3-280-295.pdf
| format = PDF
| size = 1001
| abstract = Parametric intuitionistic fuzzy modal operators redistribute the degree of uncertainty in intuitionistic fuzzy evaluations by transforming their membership and non-membership degrees. This paper examines the effect of applying the E_(α,β) and Z_(α,β)^ω operators to the decision matrix in the entropy-weighted heuristic fuzzy TOPSIS method, where the criterion weights are derived from the Ye, Wang, Wu–Zhang, and Guo entropy measures. Since both operators are affine transformations with a common contraction coefficient of αβ, we show that their direct application to the evaluations in the Euclidean-based TOPSIS method does not alter the proximity coefficients; thus, the effect of these operators manifests solely through the recalculation of entropy weights and the nonlinear weighting step. A numerical example with four alternatives and six criteria, in which all details are defined, shows that in 38 of the 44 operator-entropy combinations considered, the transformations altered the ranking and, in each case, replaced the preferred alternative with a different option; the primary source of these changes is the recalculation of the weights. Analyses examining the parameters individually reveal how the values of α, β, and ω trigger these changes. The results suggest that modal operators should be considered more as a sensitivity analysis tool for the entropy-weighted TOPSIS method rather than as tools that improve the method in a way that preserves the ranking.
| keywords = Intuitionistic fuzzy sets, Intuitionistic fuzzy modal operators, Intuitionistic fuzzy entropy, TOPSIS, Multi-criteria decision-making, Sensitivity analysis.
| ams = 03E72, 90B50.
| references =
# Atanassov, K. T. (1983). Intuitionistic fuzzy sets. VII ITKR Session, Sofia, June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: International Journal Bioautomation, 2016, 20(S1), S1–S6.
# Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (2004). On the modal operators defined over intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 10(1), 7–12.
# Atanassov, K. T. (2005). On one type of intuitionistic fuzzy modal operators. Notes on Intuitionistic Fuzzy Sets, 11(5), 24–28.
# Atanassov, K. T. (2006). The most general form of one type of intuitionistic fuzzy modal operators. Notes on Intuitionistic Fuzzy Sets, 12(2), 36–38.
# Atanassov, K. T. (2008). The most general form of one type of intuitionistic fuzzy modal operators. Part 2. Notes on Intuitionistic Fuzzy Sets, 14(1), 27–32.
# Bal, A., Tarsuslu, S., Gündoğdu, D., & Çuvalcıoğlu, G. (2025). The equality of intuitionistic fuzzy modal operators <math>E_{\alpha,\beta}, Z_{\alpha,\beta}^{\omega}</math> and <math>Z_{\alpha,\beta}^{\omega,\theta}</math> accordingly new defined intuitionistic fuzzy entropy. Journal of Universal Mathematics, 8(2), 70–84.
# Burillo, P., & Bustince, H. (1996). Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets and Systems, 78(3), 305–316.
# Chen, T.-Y., & Li, C.-H. (2010). Determining objective weights with intuitionistic fuzzy entropy measures: A comparative analysis. Information Sciences, 180, 4207–4222.
# Çuvalcıoğlu, G. (2007). Some properties of <math>E_{\alpha,\beta}</math> operator. Advanced Studies in Contemporary Mathematics, 14(2), 305–310.
# Çuvalcıoğlu, G. (2010). Expand the modal operator diagram with <math>Z_{\alpha,\beta}^{\omega}</math>. Proceedings of the Jangjeon Mathematical Society, 13(3), 403–412.
# Dencheva, K. (2004). Extension of intuitionistic fuzzy modal operators ⊞ and ⊠. In: Proceedings of the 2nd International IEEE Conference on Intelligent Systems (Vol. 3, pp. 21–22). IEEE.
# Guo, K., & Song, Q. (2014). On the entropy for Atanassov’s intuitionistic fuzzy sets: An interpretation from the perspective of amount of knowledge. Applied Soft Computing, 24, 328–340.
# Hwang, C. L., & Yoon, K. (1981). Multiple Attribute Decision Making: Methods and Applications. Springer.
# Liu, M., & Ren, H. (2014). A new intuitionistic fuzzy entropy and application in multi-attribute decision making. Information, 5(4), 587–601.
# 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(3), 467–477.
# Vlachos, I. K., & Sergiadis, G. D. (2007). Intuitionistic fuzzy information – Applications to pattern recognition. Pattern Recognition Letters, 28(2), 197–206.
# Wang, Y., & Lei, Y. J. (2007). A technique for constructing intuitionistic fuzzy entropy. Control and Decision, 22(12), 1390–1394.
# Wei, C.-P., Wang, P., & Zhang, Y.-Z. (2011). Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications. Information Sciences, 181(19), 4273–4286.
# Wei, C., Gao, Z., & Guo, T. (2012). An intuitionistic fuzzy entropy measure based on trigonometric function. Control and Decision, 27, 571–574.
# Wu, J.-Z., & Zhang, Q. (2011). Multicriteria decision making method based on intuitionistic fuzzy weighted entropy. Expert Systems with Applications, 38(1), 916–922.
# Ye, J. (2010). Two effective measures of intuitionistic fuzzy entropy. Computing, 87(1–2), 55–62.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.

| citations =
| see-also =
}}

Notes on Intuitionistic Fuzzy Sets/32/3

Ifigenia Administrator — Wed, 04 Nov 2026 15:22:56 GMT

280–295

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	{{journal-contents/row		{{journal-contents/row
	\|number = 7		\|number = 6
			\|title = [[Issue:Intuitionistic fuzzy modal operators in an entropy-weighted TOPSIS framework\|Intuitionistic fuzzy modal operators in an entropy-weighted TOPSIS framework]]
			\|authors = [[Gökhan Çuvalcıoğlu]], [[Sinem Tarsuslu (Yılmaz)]]
			\|pages = 280–295
			}}
			{{journal-contents/row
			\|number = 8
	\|title = TBC		\|title = TBC
	\|authors = TBC		\|authors = TBC

File:NIFS-32-3-258-279.pdf

Ifigenia Administrator — Wed, 04 Nov 2026 15:15:41 GMT

Ifigenia Administrator uploaded File:NIFS-32-3-258-279.pdf == Summary == {{upload | description = Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects | author = Panagiotis Chountas, Georgy Urumov | source = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Vo...

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== Summary ==
{{upload
| description = [[Issue:Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects|Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects]]
| author = [[Panagiotis Chountas]], [[Georgy Urumov]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 258-279
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
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[[Category:PDF files]]

File:NIFS-32-3-258-279.pdf

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Ifigenia Administrator deleted page File:NIFS-32-3-258-279.pdf Duplicated file: content was: "== Summary == {{upload | description = Issue:Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects|Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and bou...", and the only contributor was "Ifigenia Administrator" ([[User talk:Ifigenia Adm...

File:NIFS-32-3-258-279.pdf

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Issue:Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects

Ifigenia Administrator — Wed, 04 Nov 2026 15:09:22 GMT

Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects | shortcut = nifs/32/3/258-279 }} {{issue/author | author = Panagiotis Chountas | institution..."

New page

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects
| shortcut = nifs/32/3/258-279
}}
{{issue/author
| author = Panagiotis Chountas
| institution = School of Computer Science and Engineering, University of Westminster
| address = 115 New Cavendish Street, London W1W 6UW, UK
| email-before-at = chountp
| email-after-at = westminster.ac.uk
| orcid = 0000-0003-3157-8887
}}
{{issue/author
| author = Georgy Urumov
| institution = School of Computer Science and Engineering, University of Westminster
| address = 115 New Cavendish Street, London W1W 6UW, UK
| email-before-at = G.Urumov1
| email-after-at = westminster.ac.uk
| orcid = 0009-0002-0516-615X
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 258–279
| doi = https://doi.org/10.7546/nifs.2026.32.3.258-279
| file = NIFS-32-3-258-279.pdf
| format = PDF
| size = 1692
| abstract = Circular and elliptic intuitionistic fuzzy sets motivate region-based descriptions of membership and non-membership uncertainty. This methodological benchmark compares circles, axis-aligned ellipses and oriented ellipses on the admissible intuitionistic triangle. It combines established geometric identities and split-conformal calibration with a reproducible evaluation of coverage, admissible area and parameter variability. Six main scenarios and training-size and coverage-level sensitivity analyses comprise 4,200 independent synthetic datasets and 12,600 fits. The axis-aligned ellipse reduces mean admissible area by 53.4 percent in the main axial-anisotropy scenario; an oriented baseline captures corresponding gains for tilted variation. A full-versus-admissible-area diagnostic isolates the effect of clipping: in the boundary scenario, the oriented ellipse has a 28.5 percent mean-area saving relative to the circle before clipping and a 25.5 percent saving after clipping. Coverage uncertainty accompanies the efficiency comparisons. The contribution is an assessment-domain benchmark and methodological synthesis; it introduces neither a new fuzzy-set algebra nor a new conformal method. Real expert behaviour and downstream decision performance remain outside its evidence.
| keywords = Intuitionistic fuzzy assessments, Circular regions, Elliptical regions, Split conformal calibration, Boundary truncation, Synthetic evaluation.
| ams = 03E72, 62G15.
| references =
# Amaral, L. P., Cabezas, L. M. C., Ramos, T. R., & Pereira, G. H. G. A. (2026). Conformal prediction for compositional data. Preprint. Available online at: https://arxiv.org/abs/2511.18141
# Angelopoulos, A. N., & Bates, S. (2022). A gentle introduction to conformal prediction and distribution-free uncertainty quantification. Preprint. Available online at: https://arxiv.org/abs/2107.07511v6
# Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
# Atanassov, K. T. (2020). Circular intuitionistic fuzzy sets. Journal of Intelligent & Fuzzy Systems, 39(5), 5981–5986.
# Atanassov, K. T. (2021). Elliptic intuitionistic fuzzy sets. Comptes rendus de l’Académie bulgare des Sciences, 74(6), 812–819.
# Atanassov, K. T., & Marinov, E. (2021). Four distances for circular intuitionistic fuzzy sets. Mathematics, 9(10), 1121.
# Henderson, I., Mazoyer, A., & Gamboa, F. (2025). Adaptive inference with random ellipsoids through conformal conditional linear expectation. Preprint. Available online at: https://arxiv.org/abs/2409.18508v2
# Johnstone, C., & Cox, B. (2021). Conformal uncertainty sets for robust optimization. Proceedings of Machine Learning Research, 152, 72–90.
# Messoudi, S., Destercke, S., & Rousseau, S. (2022). Ellipsoidal conformal inference for multi-target regression. Proceedings of Machine Learning Research, 179, 294–306.
# Traneva, V., & Tranev, S. (2023). An elliptic intuitionistic fuzzy model for franchisor selection. Annals of Computer Science and Information Systems, 37, 337–343.
# Vovk, V., Gammerman, A., & Shafer, G. (2005). Algorithmic Learning in a Random World. Springer, New York.
# Xu, C., Jiang, H., & Xie, Y. (2024). Conformal prediction for multi-dimensional time series by ellipsoidal sets. Proceedings of Machine Learning Research, 235, 55076–55099.

| citations =
| see-also =
}}

Notes on Intuitionistic Fuzzy Sets/32/3

Ifigenia Administrator — Wed, 04 Nov 2026 14:53:33 GMT

258–279

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	{{journal-contents/row		{{journal-contents/row
	\|number = 6		\|number = 6
			\|title = [[Issue:Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects\|Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects]]
			\|authors = [[Panagiotis Chountas]], [[Georgy Urumov]]
			\|pages = 258–279
			}}
			{{journal-contents/row
			\|number = 7
	\|title = TBC		\|title = TBC
	\|authors = TBC		\|authors = TBC

ICIFS-2026

Ifigenia Administrator — Wed, 04 Nov 2026 14:45:32 GMT

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	\| 12:00-12:20 \|\| 11:00-11:20 \|\| <u>Gökhan Çuvalcioğlu</u>, Sinem Tarsuslu (Yılmaz)<br/><small>Türkiye</small> \|\| [[Issue:Intuitionistic fuzzy modal operators in an entropy-weighted TOPSIS framework\|Intuitionistic fuzzy modal operators in an entropy-weighted TOPSIS framework]]		\| 12:00-12:20 \|\| 11:00-11:20 \|\| <u>Gökhan Çuvalcioğlu</u>, Sinem Tarsuslu (Yılmaz)<br/><small>Türkiye</small> \|\| [[Issue:Intuitionistic fuzzy modal operators in an entropy-weighted TOPSIS framework\|Intuitionistic fuzzy modal operators in an entropy-weighted TOPSIS framework]]
	\|-		\|-
	\| 12:20-12:40 \|\| \|\| <u>Vassia Atanassova</u><br/><small>Bulgaria</small> \|\| '''COMMUNITY TALK:''' ''Forty years since Atanassov’s landmark paper on intuitionistic fuzzy sets''		\| 12:20-12:40 \|\| \|\| <u>Vassia Atanassova</u><br/><small>Bulgaria</small> \|\| '''COMMUNITY TALK:''' ''2026: Forty years since Atanassov’s landmark paper on intuitionistic fuzzy sets''
	\|-		\|-
	\| 12:40-14:00		\| 12:40-14:00
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	\| 17:00-17:20 \|\| \|\| Stoyan Poryazov, Velin Andonov, Emiliya Saranova, <u>Ivan Kavaldzhiev</u><br/><small>Bulgaria</small> \|\| [[Issue:Quantitative analysis and verification of an analytical method for aggregation of intuitionistic fuzzy quality assessments of a sequential composition of two services in an information service network\|Quantitative analysis and verification of an analytical method for aggregation of intuitionistic fuzzy quality assessments of a sequential composition of two services in an information service network]]		\| 17:00-17:20 \|\| \|\| Stoyan Poryazov, Velin Andonov, Emiliya Saranova, <u>Ivan Kavaldzhiev</u><br/><small>Bulgaria</small> \|\| [[Issue:Quantitative analysis and verification of an analytical method for aggregation of intuitionistic fuzzy quality assessments of a sequential composition of two services in an information service network\|Quantitative analysis and verification of an analytical method for aggregation of intuitionistic fuzzy quality assessments of a sequential composition of two services in an information service network]]
			\|-
			\| 17:20-17:40 \|\| \|\| <u>Simeon Ribagin</u>, Peter Vassilev<br/><small>Bulgaria</small> \|\| [[Issue:Intuitionistic fuzzy assessment of children's experience with an AI-assisted digital kinesitherapy program\|Intuitionistic fuzzy assessment of children's experience with an AI-assisted digital kinesitherapy program]]
	\|}		\|}

Issue:About the sum of intuitionistic fuzzy observables

Ifigenia Administrator — Tue, 03 Nov 2026 21:01:16 GMT

← Older revision		Revision as of 23:01, 3 November 2026
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	{{issue/author		{{issue/author
	\| author = Katarína Čunderlíková		\| author = Katarína Čunderlíková
	\| institution = Institute of Mathematics and Computer Science\\		\| institution = Institute of Mathematics and Computer Science of Mathematical Institute, Slovak Academy of Sciences
	Mathematical Institute, Slovak Academy of Sciences
	\| address = Dumbierska 1, 974 11 Banská Bystrica, Slovakia		\| address = Dumbierska 1, 974 11 Banská Bystrica, Slovakia
	\| email-before-at = cunderlikova.lendelova		\| email-before-at = cunderlikova.lendelova

File:NIFS-32-3-245-257.pdf

Ifigenia Administrator — Tue, 03 Nov 2026 20:46:53 GMT

Ifigenia Administrator uploaded File:NIFS-32-3-245-257.pdf == Summary == {{upload | description = About the sum of intuitionistic fuzzy observables | author = Katarína Čunderlíková | source = Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3, pages 245-257 | date = 2026 | license = Creative Commons Attribution (CC BY 4.0) | other-version = }} Category:PDF files

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== Summary ==
{{upload
| description = [[Issue:About the sum of intuitionistic fuzzy observables|About the sum of intuitionistic fuzzy observables]]
| author = [[Katarína Čunderlíková]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 245-257
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
| other-version =
}}

[[Category:PDF files]]

Issue:About the sum of intuitionistic fuzzy observables

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Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = About the sum of intuitionistic fuzzy observables | shortcut = nifs/32/3/245-257 }} {{issue/author | author = Katarína Čunderlíková | institution = Institute of Mathematics and Computer Science\\ Mathematical Institute, Slovak Academy of..."

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Notes on Intuitionistic Fuzzy Sets/32/3

Ifigenia Administrator — Tue, 03 Nov 2026 20:34:53 GMT

245–257

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	\|title = [[Issue:About the sum of intuitionistic fuzzy observables\|About the sum of intuitionistic fuzzy observables]]		\|title = [[Issue:About the sum of intuitionistic fuzzy observables\|About the sum of intuitionistic fuzzy observables]]
	\|authors = [[Katarína Čunderlíková]]		\|authors = [[Katarína Čunderlíková]]
	\|pages = ~~TBC~~		\|pages = 245–257
	}}		}}
	{{journal-contents/row		{{journal-contents/row

ICIFS-2026

Ifigenia Administrator — Tue, 03 Nov 2026 18:57:32 GMT

6 November – Friday

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	{\| class="wikitable" width="100%"		{\| class="wikitable" width="100%"
	! Bulgarian time (EET) !! Presenter's local time !! Author(s) / <u>Presenter</u> !! Paper title		! width="10%" \| Bulgarian time (EET)
			! width="10%" \| Presenter's local time
			! width="30%" \| Author(s) / <u>Presenter</u>
			! width="50%" \| Paper title
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	\| 16:40-17:00 \|\| \|\| <u>Angel Dimitriev</u><br/><small>Bulgaria</small> \|\| [[Issue:Extending OnlineGN with evaluation of intuitionistic fuzzy predicates\|Extending OnlineGN with evaluation of intuitionistic fuzzy predicates]]		\| 16:40-17:00 \|\| \|\| <u>Angel Dimitriev</u><br/><small>Bulgaria</small> \|\| [[Issue:Extending OnlineGN with evaluation of intuitionistic fuzzy predicates\|Extending OnlineGN with evaluation of intuitionistic fuzzy predicates]]
			\|-
			\| 17:00-17:20 \|\| \|\| Stoyan Poryazov, Velin Andonov, Emiliya Saranova, <u>Ivan Kavaldzhiev</u><br/><small>Bulgaria</small> \|\| [[Issue:Quantitative analysis and verification of an analytical method for aggregation of intuitionistic fuzzy quality assessments of a sequential composition of two services in an information service network\|Quantitative analysis and verification of an analytical method for aggregation of intuitionistic fuzzy quality assessments of a sequential composition of two services in an information service network]]
	\|}		\|}

Issue:Nifs/32/3/231-244

Ifigenia Administrator — Tue, 03 Nov 2026 18:21:16 GMT

Redirected page to Issue:Intuitionistic fuzzy topological operators via controlled sets

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#redirect [[Issue:Intuitionistic fuzzy topological operators via controlled sets]]

Issue:Intuitionistic fuzzy topological operators via controlled sets

Ifigenia Administrator — Tue, 03 Nov 2026 18:16:40 GMT

Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = Intuitionistic fuzzy topological operators via controlled sets | shortcut = nifs/32/3/231-244 }} {{issue/author | author = Sinem Tarsuslu (Yılmaz) | institution = Department of Natural and Math. Sciences, Faculty of Engineering, Tarsus Unive..."

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[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2026 year|{{PAGENAME}}]]
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| title = Intuitionistic fuzzy topological operators via controlled sets
| shortcut = nifs/32/3/231-244
}}
{{issue/author
| author = Sinem Tarsuslu (Yılmaz)
| institution = Department of Natural and Math. Sciences, Faculty of Engineering, Tarsus University
| address = Tarsus, Türkiye
| email-before-at = sinemtarsuslu
| email-after-at = tarsus.edu.tr
| orcid = 0000-0001-9192-7001
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{{issue/author
| author = Gökhan Çuvalcıoğlu
| institution = Department of Mathematics, Faculty of Sciences, Mersin University
| address = Mersin, Türkiye
| email-before-at = gcuvalcioglu
| email-after-at = mersin.edu.tr
| orcid = 0000-0001-5451-3336
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 231–244
| doi = https://doi.org/10.7546/nifs.2026.32.3.231-244
| file = NIFS-32-3-231-244.pdf
| format = PDF
| size = 1001
| abstract = Topological concepts are widely used in the mathematical modeling of spatial objects with uncertain boundaries. Determining suitable operators for the interior, closure, and boundary is one of the main problems that researchers are interested in. Therefore, fuzzy topological and intuitionistic fuzzy topological operators have been examined in such problems. Different methods are used to fuzzify the elements of a region under study. However, determining the non-membership degrees of a region based on its membership degrees remains a separate problem.
In this study, this problem is addressed by applying controlled set theory. The resulting intuitionistic fuzzy representations are then processed using intuitionistic fuzzy pre-interior and pre-closure operators to examine the interior, closure, and boundary characteristics of the spatial regions affected by Mikania micrantha. The results show how the proposed method changes these values for different parameter settings and offers a new way to model uncertainty in spatial regions.
| keywords = Intuitionistic fuzzy sets, Topological operators, Controlled sets, Spatial objects modeling.
| ams = 03E72.
| references =
# Arkhangel’skii, A. V., & Pontryagin, L. S. (Eds.). (1990). General Topology I: Basic Concepts and Constructions, Dimension Theory. Encyclopaedia of Mathematical Sciences, Vol. 17. Springer-Verlag, Berlin, Heidelberg.
# Atanassov, K. T. (1983). Intuitionistic fuzzy sets. In: VII ITKR Session, Sofia, June, 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20 (S1), S1–S6.
# Atanassov, K. T. (2012). On Intuitionistic Fuzzy Sets Theory. Studies in Fuzziness and Soft Computing, Vol. 283. Springer, Berlin, Heidelberg.
# Bustince, H., Kacprzyk, J., & Mohedano, V. (2000). Intuitionistic fuzzy generators: Application to intuitionistic fuzzy complementation. Fuzzy Sets and Systems, 114(3), 485–504.
# Çoker, D. (1997). An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems, 88, 81–89.
# Çuvalcıoğlu, G. (2014). [[Issue:Some properties of Controlled Set Theory|Some properties of Controlled Set Theory]]. Notes on Intuitionistic Fuzzy Sets, 20(2), 37–42.
# Çuvalcıoğlu, G., & Varol, S. U. (2021). Decision making process for serving restaurants using intuitionistic fuzzy set theory via controlled sets. Journal of Universal Mathematics, 4(2), 296–325.
# Kutlu, F., & Bilgin, T. (2015). [[Issue:Temporal intuitionistic fuzzy topology in Šostak's sense|Temporal intuitionistic fuzzy topology in Šostak's sense]]. Notes on Intuitionistic Fuzzy Sets, 21(2), 63–70.
# Lupian ̃ez, F. G. (2004). Intuitionistic fuzzy topological operators and topology. International Journal of Pure and Applied Mathematics, 17(1), 35–40.
# Malek, M. R. (2004). Spatial object modeling in intuitionistic fuzzy topological spaces. In: Tsumoto, S., Słowiński, R., Komorowski, J., & Grzymała-Busse, J.W. (Eds.). Rough Sets and Current Trends in Computing. RSCTC 2004. Lecture Notes in Computer Science, 3066, pp. 427–434. Springer, Berlin, Heidelberg.
# Marinov, E., & Atanassov, K. T. (2020). Partially continuous pretopological and topological operators for intuitionistic fuzzy sets. Iranian Journal of Fuzzy Systems, 17(2), 1–15.
# Radhika, C., & Parvathi, R. (2016) Intuitionistic fuzzification functions. Global Journal of Pure and Applied Mathematics, 12(2), 1211–1227.
# Shi, W., & Liu, K. (2007). A fuzzy topology for computing the interior, boundary, and exterior of spatial objects quantitatively in GIS. Computers & Geosciences, 33, 898–915.
# Sugeno, M. (1974). Theory of Fuzzy Integrals and Its Applications. PhD thesis, Tokyo Institute of Technology, Tokyo, Japan.
# Tarsuslu (Yılmaz), S. (2023). A study on intuitionistic fuzzy topological operators. Italian Journal of Pure and Applied Mathematics, 49, 863–875.
# Tarsuslu (Yılmaz), S. (2023). Application of intuitionistic fuzzy topological operators in spatial objects modeling. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 12(2), 524–530.
# Tarsuslu (Yılmaz), S., & Çuvalcıoğlu, G. (2024). An application of controlled sets in medical diagnosis. In: Melin, P., Castillo, O. (Eds.). New Directions on Hybrid Intelligent Systems Based on Neural Networks, Fuzzy Logic, and Optimization Algorithms. Studies in Computational Intelligence, Vol. 1146, pp. 9–17. Springer, Cham.
# Tuğrul, F. (2021). Connectedness in Temporal Intuitionistic Fuzzy Topology in Chang’s Sense. Journal of Universal Mathematics, 4(2), 157–165.
# Tuğrul, F., & Çitil, M. (2021). A new perspective on evaluation system in education with ıntuitionistic fuzzy logic and PROMETHEE algorithm. Journal of Universal Mathematics, 4(1), 13–24.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.

| citations =
| see-also =
}}

File:NIFS-32-3-231-244.pdf

Ifigenia Administrator — Tue, 03 Nov 2026 18:09:10 GMT

Ifigenia Administrator uploaded File:NIFS-32-3-231-244.pdf == Summary == {{upload | description = Intuitionistic fuzzy topological operators via controlled sets | author = Sinem Tarsuslu (Yılmaz), Gökhan Çuvalcıoğlu | source = Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3, pages 231-244 | date = 2026 | license = Creative Commons Attribution (CC BY 4.0) | other-version = }} Category:PDF files

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== Summary ==
{{upload
| description = [[Issue:Intuitionistic fuzzy topological operators via controlled sets|Intuitionistic fuzzy topological operators via controlled sets]]
| author = [[Sinem Tarsuslu (Yılmaz)]], [[Gökhan Çuvalcıoğlu]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 231-244
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
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}}

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File:NIFS-32-3-213-230.pdf

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	\| description = [[Issue:Generalized (T,ST) intuitionistic fuzzy anti-ideals on semigroups\|Generalized (T,ST) intuitionistic fuzzy anti-ideals on semigroups]]		\| description = [[Issue:Generalized (T,ST) intuitionistic fuzzy anti-ideals on semigroups\|Generalized (''T'',''S<sub>T</sub>'') intuitionistic fuzzy anti-ideals on semigroups]]
	\| author = [[Emine Funda Okumuş]], [[Sultan Yamak]]		\| author = [[Emine Funda Okumuş]], [[Sultan Yamak]]
	\| source = [[Notes on Intuitionistic Fuzzy Sets/32/3\|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 213-230		\| source = [[Notes on Intuitionistic Fuzzy Sets/32/3\|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 213-230

File:NIFS-32-3-213-230.pdf

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Ifigenia Administrator uploaded File:NIFS-32-3-213-230.pdf == Summary == {{upload | description = Generalized (T,ST) intuitionistic fuzzy anti-ideals on semigroups | author = Emine Funda Okumuş, Sultan Yamak | source = Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3, pages 213-230 | date = 2026 | license = Creative Commons Attribution (CC BY 4.0) | other-version = }} Category:PDF files

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== Summary ==
{{upload
| description = [[Issue:Generalized (T,ST) intuitionistic fuzzy anti-ideals on semigroups|Generalized (T,ST) intuitionistic fuzzy anti-ideals on semigroups]]
| author = [[Emine Funda Okumuş]], [[Sultan Yamak]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 213-230
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
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== Summary ==
{{upload
| description = [[Issue:On intuitionistic fuzzy numbers and compact intervals|On intuitionistic fuzzy numbers and compact intervals]]
| author = [[El Houssine Bouzid]], [[Bouchra Ben Amma]], [[Said Melliani]], [[Lalla Saadia Chadli]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 203-212
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
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}}

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Ifigenia Administrator uploaded File:NIFS-32-3-193-202.pdf == Summary == {{upload | description = All modern AI needs is intuitionistic fuzzy | author = Vladik Kreinovich, Olga Kosheleva, Victor Timchenko, Yuriy Kondratenko | source = Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3, pages 193-202 | date = 2026 | license = Creative Commons Attribution (CC BY 4.0) | other-version = }} Category:PDF files

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== Summary ==
{{upload
| description = [[Issue:All modern AI needs is intuitionistic fuzzy|All modern AI needs is intuitionistic fuzzy]]
| author = [[Vladik Kreinovich]], [[Olga Kosheleva]], [[Victor Timchenko]], [[Yuriy Kondratenko]]
| source = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 193-202
| date = 2026
| license = Creative Commons Attribution (CC BY 4.0)
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Issue:All modern AI needs is intuitionistic fuzzy

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ICIFS-2026

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6 November – Friday: swap

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	\| 14:40-15:00 \|\| 12:40-13:00 \|\| <u>Panagiotis Chountas</u>, Georgy Urumov<br/><small>United Kingdom</small> \|\| [[Issue:Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects\|Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects]]		\| 14:40-15:00 \|\| 12:40-13:00 \|\| <u>Panagiotis Chountas</u>, Georgy Urumov<br/><small>United Kingdom</small> \|\| [[Issue:Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects\|Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects]]
	\|-		\|-
	\| 15:00-15:20 \|\| ~~14:00-14:20~~ \|\| <u>~~Katarína Čunderlíková~~</u><br/><small>~~Slovakia~~</small> \|\| [[Issue:~~About the sum~~ of intuitionistic fuzzy ~~observables~~\|~~About the sum~~ of intuitionistic fuzzy ~~observables~~]]		\| 15:00-15:20 \|\| \|\| Kristina Zhivkova, <u>Peter Vassilev</u>, Lyudmila Todorova<br/><small>Bulgaria</small> \|\| [[Issue:A short note on a possible ranking of intuitionistic fuzzy alternatives\|A short note on a possible ranking of intuitionistic fuzzy alternatives]]
	\|-		\|-
	\| 15:20-15:40 \|\| \|\| ~~Kristina Zhivkova,~~ <u>~~Peter Vassilev~~</u>~~, Lyudmila Todorova~~<br/><small>~~Bulgaria~~</small> \|\| [[Issue:~~A short note on a possible ranking~~ of intuitionistic fuzzy ~~alternatives~~\|~~A short note on a possible ranking~~ of intuitionistic fuzzy ~~alternatives~~]]		\| 15:20-15:40 \|\| 14:20-14:40 \|\| <u>Katarína Čunderlíková</u><br/><small>Slovakia</small> \|\| [[Issue:About the sum of intuitionistic fuzzy observables\|About the sum of intuitionistic fuzzy observables]]

	\|-		\|-
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	\|title = [[Issue:About the sum of intuitionistic fuzzy observables\|About the sum of intuitionistic fuzzy observables]]		\|title = [[Issue:About the sum of intuitionistic fuzzy observables\|About the sum of intuitionistic fuzzy observables]]
	\|authors = [[Katarína Čunderlíková]]		\|authors = [[Katarína Čunderlíková]]
	\|pages = ~~245–258~~		\|pages = TBC
	}}		}}
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Category:Publications of Emine Funda Okumuş

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Issue:Nifs/32/3/213-230

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Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = Generalized (''T'',''ST'') intuitionistic fuzzy anti-ideals on semigroups | shortcut = nifs/32/3/213-230 }} {{issue/author | author = Emine Funda Okumuş | institution = Department of Mathematics, Karadeniz Technical University..."

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
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{{issue/title
| title = Generalized (''T'',''ST'') intuitionistic fuzzy anti-ideals on semigroups
| shortcut = nifs/32/3/213-230
}}
{{issue/author
| author = Emine Funda Okumuş
| institution = Department of Mathematics, Karadeniz Technical University
| address = Turkey
| email-before-at = eminefundaekinci
| email-after-at = ktu.edu.tr
| orcid = 0000-0002-2878-8448
}}
{{issue/author
| author = Sultan Yamak
| institution = Department of Mathematics, Karadeniz Technical University
| address = Turkey
| email-before-at = syamak
| email-after-at = ktu.edu.tr
| orcid = 0000-0001-6499-4436
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 213–230
| doi = https://doi.org/10.7546/nifs.2026.32.3.213-230
| file = NIFS-32-3-213-230.pdf
| format = PDF
| size = 266
| abstract = In this paper, we introduce generalized intuitionistic fuzzy (''T'',''ST'') anti-ideals on semigroups. We first define intuitionistic fuzzy left anti-ideals, right anti-ideals, anti-ideals, and bi-anti-ideals in this setting. Then we study their basic properties and show how classical anti-ideals can be obtained via characteristic functions. We also give characterizations in terms of level subsets and examine the behavior of these structures under homomorphisms and isomorphisms. The results obtained show that the proposed approach extends known anti-ideal concepts and gives a useful framework for studying semigroups with uncertainty.
| keywords = Semigroup, Anti-ideal, Bi-anti-ideal, Intuitionistic fuzzy set, t-norm, t-conorm.
| ams = 20M10, 03E72.
| references =
# Ahn, T. C., Hur, K., Jang, K. W., & Roh, S. B. (2005). Intuitionistic fuzzy ideals of a semigroup. Honam Mathematical Journal, 27(4), 525–541.
# Al Tahan, M., & Hoskova-Mayerova, S. (2025). Characterizing a semigroup by its fuzzy interior antiideals and fuzzy m-interior antiideals. Afrika Matematika, 36, Article ID 63.
# Al Tahan, M., Hoskova-Mayerova, S., Al-Kaseasbeh, S. (2025). Generalization of bi-antiideals in semigroups. European Journal of Pure and Applied Mathematics, 18(1), Article ID 5646.
# Al Tahan, M., Hoskova-Mayerova, S., Davvaz, B., & Harikrishnan, P. (2025). Antiideal theory in semigroups and its fuzzification. Soft Computing, 29, 5465–5470.
# Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87–96.
# Badhurays, L. B., Bashammakh, S. A., & Alshehri, N. O. (2017). Triangular norms based on intuitionistic fuzzy BCK-submodules. Journal of Computational Analysis and Applications, 23(5), 910–924.
# Birkhoff, G. (1948). Lattice Theory. American Mathematical Society, New York.
# Iseki, K. (1962). On (m, n)-antiideals in semigroups. Proceedings of the Japan Academy, 38(7), 316–317.
# Jun, Y. B., & Hong, S. M. (2001). On imaginable T-fuzzy subalgebras and imaginable T-fuzzy closed ideals in BCH-algebras. International Journal of Mathematics and Mathematical Sciences, 27(5), 269–287.
# Karac¸al, F., & Khadjiev , D. (2005). ∨-Distributive and infinitely ∨-distributive t-norms on complete lattice. Fuzzy Sets and Systems, 151(2), 341–352.
# Kehayopulu, N. (2017). Hypersemigroups and fuzzy hypersemigroups. European Journal of Pure and Applied Mathematics, 10(5), 929–945.
# Kehayopulu, N., & Tsingelis, M. (2007). Fuzzy ideals in ordered semigroups. Quasigroups and Related Systems, 15 (2), 279–289.
# Kim, K. H. (2006). On intuitionistic Q-fuzzy ideals of semigroups. Scientiae Mathematicae Japonicae, 63(2), 119–126.
# Klement, E. P., Mesiar, R., & Pap, E. (2000). Triangular Norms. Kluwer Academic Publishers, Dordrecht.
# Kuroki, N. (1981). On fuzzy ideals and fuzzy bi-ideals in semigroups. Fuzzy Sets and Systems, 5(2), 203–215.
# Mordeson, J. N., Malik, D. S., & Kuroki, N. (2003). Fuzzy Semigroups. Springer Science & Business Media, Berlin.
# Rosenfeld, A. (1971). Fuzzy groups. Journal of Mathematical Analysis and Applications, 35(3), 512–517.
# Schwarz, S. (1953). On maximal ideals in the theory of semigroups, I. ˇ Czechoslovak Mathematical Journal, 3(2), 139–153.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.

| citations =
| see-also =
}}

ICIFS-2026

Ifigenia Administrator — Tue, 03 Nov 2026 16:54:00 GMT

Conference Programme

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	\| 14:00-14:20 \|\| \|\| <u>Krassimir Atanassov</u>, Vassia Atanassova<br/><small>Bulgaria</small> \|\| [[Issue:A non-standard operation on intuitionistic fuzzy pairs\|A non-standard operation on intuitionistic fuzzy pairs]]		\| 14:00-14:20 \|\| \|\| <u>Krassimir Atanassov</u>, Vassia Atanassova<br/><small>Bulgaria</small> \|\| [[Issue:A non-standard operation on intuitionistic fuzzy pairs\|A non-standard operation on intuitionistic fuzzy pairs]]
	\|-		\|-
	\| 14:20-14:40 \|\| 15:20-15:40 \|\| <u>Emine Funda Okumuş</u>, Sultan Yamak<br/><small>Türkiye</small> \|\| [[Issue:Generalized (T,ST) intuitionistic fuzzy anti-ideals on semigroups\|Generalized (T,S<sub>T</sub>) intuitionistic fuzzy anti-ideals on semigroups]]		\| 14:20-14:40 \|\| 15:20-15:40 \|\| <u>Emine Funda Okumuş</u>, Sultan Yamak<br/><small>Türkiye</small> \|\| [[Issue:Generalized (T,ST) intuitionistic fuzzy anti-ideals on semigroups\|Generalized (''T'',''S<sub>T</sub>'') intuitionistic fuzzy anti-ideals on semigroups]]
	\|-		\|-
	\| 14:40-15:00 \|\| 12:40-13:00 \|\| <u>Panagiotis Chountas</u>, Georgy Urumov<br/><small>United Kingdom</small> \|\| [[Issue:Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects\|Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects]]		\| 14:40-15:00 \|\| 12:40-13:00 \|\| <u>Panagiotis Chountas</u>, Georgy Urumov<br/><small>United Kingdom</small> \|\| [[Issue:Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects\|Calibrated circular and elliptical regions for intuitionistic fuzzy assessments: A methodological benchmark of geometry coverage and boundary effects]]
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	! colspan=3 \| COFFEE BREAK		! colspan=3 \| COFFEE BREAK
	\|-		\|-
	\| 16:00-16:20 \|\| \|\| <u>~~Sevdalin Tsvetanov~~</u>, ~~Krassimir Atanassov, Peter Vassilev~~<br/><small>Bulgaria</small> \|\| [[Issue:~~Intuitionistic fuzzy coloured multigraphs~~\|~~Intuitionistic fuzzy coloured multigraphs~~]]		\| 16:00-16:20 \|\| 08:00-08:20 \|\| <u>Dimitre Dikov Dimitrov</u>, Veselina Bureva<br/><small>Canada, Bulgaria</small> \|\| [[Issue:Index of behavioral consistency: A new approach for evaluating association between quantitative variables, and agreement between simulations and observations\|Index of behavioral consistency: A new approach for evaluating association between quantitative variables, and agreement between simulations and observations]]
	\|-		\|-
	\| 16:20-16:40 \|\| \|\| <u>~~Angel Dimitriev~~</u><br/><small>Bulgaria</small> \|\| [[Issue:~~Extending OnlineGN with intuitionistic~~ fuzzy ~~predicate evaluation~~\|~~Extending OnlineGN with intuitionistic~~ fuzzy ~~predicate evaluation~~]]		\| 16:20-16:40 \|\| \|\| <u>Sevdalin Tsvetanov</u>, Krassimir Atanassov, Peter Vassilev<br/><small>Bulgaria</small> \|\| [[Issue:Intuitionistic fuzzy coloured multigraphs\|Intuitionistic fuzzy coloured multigraphs]]
	\|-		\|-
	\| 16:40-17:00 \|\| ~~07:40-08:00~~ \|\| <u>~~Dimitre Dikov Dimitrov~~</u>~~, Veselina Bureva~~<br/><small>~~Canada/~~Bulgaria</small> \|\| [[Issue:~~Index~~ of ~~behavioral consistency: A new approach for evaluating association between quantitative variables, and agreement between simulations and observations~~\|~~Index~~ of ~~behavioral consistency: A new approach for evaluating association between quantitative variables, and agreement between simulations and observations~~]]		\| 16:40-17:00 \|\| \|\| <u>Angel Dimitriev</u><br/><small>Bulgaria</small> \|\| [[Issue:Extending OnlineGN with evaluation of intuitionistic fuzzy predicates\|Extending OnlineGN with evaluation of intuitionistic fuzzy predicates]]
	\|}		\|}

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	== Conference Chairs and Committee ==		== Conference Chairs and Committee ==

Issue:Nifs/32/3/193-202

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NIFS/32/3

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Nifs/32/3

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Issue:Nifs/32/3/203-212

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Category:Publications of El Houssine Bouzid

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El Houssine Bouzid

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Notes on Intuitionistic Fuzzy Sets/32/3

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 == Journal contents ==</noinclude>
-This issue will contain the Proceedings of the [[ICIFS-2026|29<sup>th</sup> International Conference on Intuitionistic Fuzzy Sets]].
+This issue will contain the Proceedings of the [[ICIFS-2026|29<sup>th</sup> International Conference on Intuitionistic Fuzzy Sets]], 6–7 November 2026, Sofia, Bulgaria / online.
-<!-- {{journal-contents/header}}
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 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.

Category:Publications of Victor Timchenko

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[[Category:Publications by author|Timchenko, Victor]]

Category:Publications of Yuriy Kondratenko

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[[Category:Publications by author|Kondratenko, Yuriy]]

Victor Timchenko

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Yuriy Kondratenko

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Issue:All modern AI needs is intuitionistic fuzzy

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Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = All modern AI needs is intuitionistic fuzzy | shortcut = nifs/32/3/193-202 }} {{issue/author | author = Vladik Kreinovich | institution = Department of Computer Science, University of Texas at El Paso | address = 500 W. University,..."

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
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[[Category:Publications in 2026 year|{{PAGENAME}}]]
{{issue/title
| title = All modern AI needs is intuitionistic fuzzy
| shortcut = nifs/32/3/193-202
}}
{{issue/author
| author = Vladik Kreinovich
| institution = Department of Computer Science, University of Texas at El Paso
| address = 500 W. University, El Paso, Texas 79968, USA
| email-before-at = vladik
| email-after-at = utep.edu
| orcid = 0000-0002-1244-1650
}}
{{issue/author
| author = Olga Kosheleva
| institution = Department of Computer Science, University of Texas at El Paso
| address = 500 W. University, El Paso, Texas 79968, USA
| email-before-at = olgak
| email-after-at = utep.edu
| orcid =
}}
{{issue/author
| author = Victor Timchenko
| institution = Admiral Makarov National University of Shipbuilding
| address = Mykolaiv, Ukraine
| email-before-at = vl.timchenko58
| email-after-at = gmail.com
| orcid =
}}
{{issue/author
| author = Yuriy Kondratenko
| institution = Petro Mohyla Black Sea National University
| address = Mykolaiv, Ukraine
| email-before-at = y_kondrat2002
| email-after-at = yahoo.com
| orcid = 0000-0001-7736-883X
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/32/3|Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3]], pages 193–202
| doi = https://doi.org/10.7546/nifs.2026.32.3.193-202
| file = NIFS-32-3-193-202.pdf
| format = PDF
| size = 165
| abstract = While modern AI techniques are very successful, they are not as reliable as we would like them to be: in about 5% of the cases, they provide wrong answers. In this paper, we show
that the problem facing modern AI tools is similar to the problem that, in the past, faced the original fuzzy logic – and that led to the development of intuitionistic fuzzy techniques: the need to consider the "don't know" option in addition to the usual "yes" and "no" answers to a binary ("yes"–"no") question. Based on this analogy, we provide recommendations on how to make AI tools more reliable, and we analyze advantages and limitations on these recommendations.
| keywords = AI, Fuzzy sets, Intuitionistic fuzzy sets, Hallucinations, Softmax
| ams = 03B52, 03E72, 68T05, 68T37.
| references =
# Atanassov, K. (1999). [[Intuitionistic Fuzzy Sets: Theory and Applications]]. Studies in Fuzziness and Soft Computing, Vol. 35. Physica-Verlag, Heidelberg.
# Belohlavek, R., Dauben, J. W., & Klir, G. J. (2017). Fuzzy Logic and Mathematics: A Historical Perspective. Oxford University Press, New York.
# Damuth, J., & Ginzburg, L. R. (2025). Nonadaptive Selection: An Evolutionary Source of Ecological Laws, University of Chicago Press, Chicago, Illinois.
# David-Neel, A. (1979). Buddhism: Its Doctrines and Its Methods. Avon Books, New York.
# Goodfellow, I., Bengio, Y., & Courville, A. (2016). Deep Learning. MIT Press, Cambridge, Massachusetts.
# Ibrahim, L., Hafner, F. S., & Rocher, L. (2026). Training language models to be warm can reduce accuracy and increase sycophancy. Nature, 652, 1159–1165.
# Kim, J.-E. (2026). Strengthening AI guardrails. American Scientist, 114(3), 140–142.
# Klir, G., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic. Prentice Hall, Upper Saddle River, New Jersey.
# Knuth, D. (2022). The Art of Computer Programming. Vol. 2: Seminumerical Algorithms. Addison-Wesley, Reading, Massachusetts.
# Kosheleva, O., Kreinovich, V., Timchenko, V., & Kondratenko, Yu. (2025). Two is enough, but three (or more) is better: In AI and beyond. In: Shevchenko, A. I., & Kondratenko, Yu. P. (Eds.). Artificial Intelligence: Achievements and Recent Developments. River Publishers, Aalborg. (to appear).
# Kreinovich, V., Lakeyev, A., Rohn, J., & Kahl, P. (1998). Computational Complexity and Feasibility of Data Processing and Interval Computations. Kluwer, Dordrecht, Netherlands.
# Martin, R. (2009). The Opposable Mind: Winning Through Integrative Thinking. Harvard Business Press, Boston, Massachusetts.
# Mendel, J. M. (2024). Explainable Uncertain Rule-Based Fuzzy Systems. Springer, Cham, Switzerland.
# Nguyen, D. T., Kreinovich, V., Koshevela, O., & Phuong, N. H. How to generalize softmax to the case when an object may not belong to any given class. In: Phuong, N. H., Chau, N. T. H., & Kreinovich, V. (Eds.). AI and Computational Intelligence. Springer, Cham, Switzerland. (to appear).
# Nguyen, H, T., Kosheleva, O., & Kreinovich, V. (2009). Decision making beyond Arrow’s ‘impossibility theorem’, with the analysis of effects of collusion and mutual attraction. International Journal of Intelligent Systems, 24(1), 27–47.
# Nguyen, N. T., Walker, C. L., & Walker, E. A. (2019). A First Course in Fuzzy Logic. Chapman and Hall/CRC, Boca Raton, Florida.
# Novák, V., Perfilieva, I., & Močkoř, J. (1999) Mathematical Principles of Fuzzy Logic, Kluwer, Boston, Dordrecht.
# Papadimitriou, C. (1994). Computational Complexity. Addison-Wesley, Reading, Massachusetts.
# Parrish, S. (2023) Clear Thinking: The Art and Science of Making Better Decisions. Penguin Books, New York.
# Russinovich, M., Salem, A., Zanella-Beguelin, S., & Zunger, Y. (2025). The price of intelligence: three risks inherent in LLMs. Communications of the ACM 68(9), 46–53.
# Sipser, M. (2021). Introduction to the Theory of Computation. Course Technology, Boston, Massachusetts.
# Timchenko, V., Kondratenko, Yu., Kozlov, O., & Kreinovich, V. (2023). Fuzzy color computing based on optical logical architecture. In: Kahraman, C., Sari, I. U., Oztaysi, B., Cebi, S., Cevik Onar, S., & Çağrı Tolga, A. (Eds.). Intelligent and Fuzzy Systems. INFUS 2023. Lecture Notes in Networks and Systems, Vol. 758, pp. 491–498. Springer, Cham.
# Timchenko, V., Kondratenko, Yu., & Kreinovich, V. (2022). Decision support system for the safety of ship navigation based on optical color logic gates. CEUR Workshop Proceedings, 3347, 42–52. Available online at: https://ceur-ws.org/Vol-3347/Paper_4.pdf
# Timchenko, V., Kondratenko, Yu., & Kreinovich, V. (2023). Implementation of optical logic gates based on color filters. Lecture Notes on Data Engineering and Communications Technologies, 181, 126–136.
# Timchenko, V., Kondratenko, Yu., & Kreinovich, V. (2023). Interval-valued and set-valued extensions of discrete fuzzy logics, Belnap logic, and color optical computing. In: Massanet, S. Montes, S., Ruiz-Aguilera, D., & Gonzalez-Hidalgo, M. (Eds.). Fuzzy Logic and Technology, and Aggregation Operators, EUSFLAT AGOP 2023. Lecture Notes in Computer Science, Vol. 14069, pp. 297–303. Springer, Cham.
# Timchenko, V., Kondratenko, Yu., & Kreinovich, V. (2023). The architecture of optical logical coloroid with fuzzy computing. CEUR Workshop Proceedings, 3373, 638–648.
# Timchenko, V., Kondratenko, Yu., & Kreinovich, V. (2023). Why color optical computing?. In: Phuong, N. H., & Kreinovich, V. (Eds.). Deep Learning and Other Soft Computing Techniques. Studies in Computational Intelligence, Vol. 1097, pp. 227–233. Springer, Cham.
# Timchenko, V., Kreinovich, V., & Kondratenko, Yu. (2024). Logical platforms for mobile application in decision support systems based on color information processing. Journal of Mobile Multimedia, 20(3), 679–698.
# Timchenko, V., Kreinovich, V., Kondratenko, Yu., & Horbov, V. (2024). Effectiveness evaluations of optical color fuzzy computing. In: Kondratenko, Yu. P., & Shevchenko, A. I. (Eds.). Research Tendencies and Prospect Domains for AI Development and Implementation, pp. 129–151. River Publishers, Denmark.
# [[Peter Vassilev|Vassilev, P. M.]], & Atanassov, K. T. (2019). [[Modifications and Extensions of Intuitionistic Fuzzy Sets]]. “Prof. Marin Drinov” Academic Publishing House, Sofia.
# Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353.

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