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On the two most extended modal types of operators defined over interval-valued intuitionistic fuzzy sets
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The definitions of the different modal type of intuitionistic fuzzy operators are given. The two most extended modal operators defined over interval valued intuitionistic fuzzy sets are given and a Theorem for equivalence of these two most extended modal operators is proved.
Abstract
The definitions of the different modal type of intuitionistic fuzzy operators are given. The two most extended modal operators defined over interval valued intuitionistic fuzzy sets are given and a Theorem for equivalence of these two most extended modal operators is proved.
참고문헌 (12)
- Atanassov, K, "Intuitionistic fuzzy sets, VII ITKR's Session, Sofia, June 1983 (Deposed in Central Sci. - Techn. Library of Bulg. Acad. of Sci., 1697", 84), 1983, pp.S1~S6
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- Atanassov K., "Review and new results on intuitionistic fuzzy sets. Preprint IM-MFAIS-1-88", ~ (1988)
- Atanassov, K, "Intuitionistic Fuzzy Sets" (1999), Springer
- Atanassov, K., "On Intuitionistic Fuzzy Sets Theory" (2012), Springer
- Atanassov, K, "Intuitionistic fuzzy logics as tools for evaluation of Data Mining processes", Knowledge-Based Systems, 80, pp.122~130 (2015)[DOI]
- Atanassov, K., "On the most extended modal operator of first type over interval-valued intuitionistic fuzzy sets", Mathematics, 6, pp.123~ (2018)[DOI]
- Atanassov, K, "Intuitionistic fuzzy modal operators of second type over interval-valued intuitionistic fuzzy sets. Part 1", Notes on Intuitionistic Fuzzy Sets, 24(2), pp.8~17 (2018)[DOI]
- Atanassov, K., "Intuitionistic fuzzy modal operators of second type over interval-valued intuitionistic fuzzy sets. Part 2", Notes on Intuitionistic Fuzzy Sets, 24(3) (2018)
- Atanassov, K., "Interval valued intuitionistic fuzzy sets", Fuzzy Sets and Systems, 31(3), pp.343~349 (1989)[DOI]
- Feys, R., "Modal logics" (1965), Gauthier
- Gorzalczany M., "Interval-valued fuzzy fuzzy inference method - some basic properties", Fuzzy Sets and Systems, 31(2), pp.243~251 (1989)[DOI]
관련 논문AI추천
On intuitionistic fuzzy sets and interval valued intuitionistic fuzzy setsK. T. Atanassov, P. Rangasam장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제18권 제1호New properties of $S_{\alpha ,\beta }$ and $T_{\alpha ,\beta }$ Intuitionistic fuzzy modal operatorsGOKHAN CUVALCIOGLU, Sinem Tarsuslu (Ylmaz)기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제6호Intuitionistic fuzzy sets and interval valued intuitionistic fuzzy setsKrassimir Atanassov장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호Some properties of the operators from one type of intuitionistic fuzzy modal operatorsK. T. Atanassov장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제1호EXPAND THE MODAL OPERATOR DIAGRAM WITH ZGOKHAN CUVALCIOGLU장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제3호Some new results on intuitionistic fuzzy setsBhuDev Sharma, Rajkumar Verma장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제1호
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