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	\| author = Gökhan Çuvalcioğlu		\| author = Gökhan Çuvalcioğlu
	\| institution = Department of Mathematics, University of Mersin		\| institution = Department of Mathematics, University of Mersin
	\| address = Mersin, ~~Türkiye~~		\| address = Mersin, Turkey
	\| email-before-at = gcuvalcioglu		\| email-before-at = gcuvalcioglu
	\| email-after-at = gmail.com		\| email-after-at = gmail.com

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← Older revision		Revision as of 17:25, 26 December 2025
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	{{issue/data		{{issue/data
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/20/5\|Notes on Intuitionistic Fuzzy Sets, Volume 20 (2014), Number 5]], pages ~~26–35~~		\| issue = [[Notes on Intuitionistic Fuzzy Sets/20/5\|Notes on Intuitionistic Fuzzy Sets, Volume 20 (2014), Number 5]], pages 1–8
	\| file = NIFS-20-5-26-35.pdf		\| file = NIFS-20-5-01-08.pdf
	\| format = PDF		\| format = PDF
	\| size = ~~222~~		\| size = 152
	\| abstract = A new operator from modal type is introduced over the intuitionistic fuzzy sets. On one hand, this operator functions by reducing the degree of membership or non-membership, and, on the other hand, by simultaneously summing it with a part of the degree of non-membership or membership, respectively. Some of its properties are studied.		\| abstract = A new operator from modal type is introduced over the intuitionistic fuzzy sets. On one hand, this operator functions by reducing the degree of membership or non-membership, and, on the other hand, by simultaneously summing it with a part of the degree of non-membership or membership, respectively. Some of its properties are studied.
	\| keywords = Intuitionistic fuzzy modal operator, Intuitionistic fuzzy operation.		\| keywords = Intuitionistic fuzzy modal operator, Intuitionistic fuzzy operation.

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{{issue/title
| title = A new modal operator over intuitionistic fuzzy sets
| shortcut = nifs/20/5/1-8
}}
{{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., Sofia 1113, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
}}
{{issue/author
| author = Gökhan Çuvalcioğlu
| institution = Department of Mathematics, University of Mersin
| address = Mersin, Türkiye
| email-before-at = gcuvalcioglu
| email-after-at = gmail.com
}}
{{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., Sofia 1113, Bulgaria
| email-before-at = vassia.atanassova
| email-after-at = gmail.com
}}

{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/20/5|Notes on Intuitionistic Fuzzy Sets, Volume 20 (2014), Number 5]], pages 26–35
| file = NIFS-20-5-26-35.pdf
| format = PDF
| size = 222
| abstract = A new operator from modal type is introduced over the intuitionistic fuzzy sets. On one hand, this operator functions by reducing the degree of membership or non-membership, and, on the other hand, by simultaneously summing it with a part of the degree of non-membership or membership, respectively. Some of its properties are studied.
| keywords = Intuitionistic fuzzy modal operator, Intuitionistic fuzzy operation.
| ams = 03E72.
| references =
# Atanassov, K., Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg, 1999.
# Atanassov, K., [[Issue:The most general form of one type of intuitionistic fuzzy modal operators|The most general form of one type of intuitionistic fuzzy modal operators]]. Notes on Intuitionistic Fuzzy Sets, Vol. 12, 2006, No. 2, 36–38.
# Atanassov, K., [[Issue:The most general form of one type of intuitionistic fuzzy modal operators. Part 2|The most general form of one type of intuitionistic fuzzy modal operators. Part 2]]. Proceedings of the Twelfth International Conference on Intuitionistic Fuzzy Sets (J. Kacprzyk and K. Atanassov, Eds), Sofia, 17-18 May 2008, Vol. 1. In: Notes on Intuitionistic Fuzzy Sets, Vol. 14, 2008, No. 1, 27–32.
# Atanassov, K., [[On Intuitionistic Fuzzy Sets Theory]], Springer, Berlin, 2012.
# Atanassov, K., [[Issue:A short note on intuitionistic fuzzy operators Xa,b,c,d,e,f and xa,b,c,d,e,f|A short remark on intuitionistic fuzzy operators ''X<sub>a,b,c,d,e,f</sub>'' and ''x<sub>a,b,c,d,e,f</sub>'']], Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 1, 54–56.
# Cuvalcıoglu, G., Some properties of <math>E_{\alpha,\beta}</math> operator. Advanced Studies on Contemporary Mathematics, Vol. 14, 2007, No. 2, 305–310.
# Cuvalcıoglu, G., Expand the model operator diagram with <math>Z^{\omega}_{\alpha,\beta}</math>. Proceedings of the Jangjeon Math. Society, Vol. 13, 2010, No. 3, 403–412.
# Dencheva, K., Extension of intuitionistic fuzzy modal operators ⊞ and ⊠. Proc. of the Second Int. IEEE Symposium “Intelligent Systems”, Varna, June 22-24 2004, Vol. 3, 21–22.
| citations =
| see-also =
}}

Issue:A new modal operator over intuitionistic fuzzy sets - Revision history

Vassia Atanassova at 14:26, 26 December 2025

Vassia Atanassova at 14:25, 26 December 2025