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Intuitionistic Fuzzy Inclusion Indicator of Intuitionistic Fuzzy Sets
2015In this paper we introduce a measure for inclusion of two IFSs into each other according to the two main partial orderings in the family of IFSs. This inclusion measure will be observed on few levels. From a set-theoretical point of view, intuitionistic fuzzy point of view and ordinary fuzzy point of view.
Evgeniy Marinov +2 more
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2024 Fourth International Conference on Advances in Electrical, Computing, Communication and Sustainable Technologies (ICAECT)
In the global growth of growing environmental concerns and energy requirements, sustainable energy source is crucial. The moderator-intuitionistic-fuzzy-set (MIFS) theory, which is one of the extension and broader version of intuitionistic fuzzy sets ...
Rakhi Kamra +4 more
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In the global growth of growing environmental concerns and energy requirements, sustainable energy source is crucial. The moderator-intuitionistic-fuzzy-set (MIFS) theory, which is one of the extension and broader version of intuitionistic fuzzy sets ...
Rakhi Kamra +4 more
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Vague sets are intuitionistic fuzzy sets
Fuzzy Sets and Systems, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bustince, H., Burillo, P.
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Bipolar Fuzzy Sets Are Intuitionistic Fuzzy Sets
Proceedings of the Bulgarian Academy of SciencesIn 1983 the Intuitionistic Fuzzy Sets (IFSs) were introduced as an extension of Zadeh's fuzzy sets. Fifteen years later the Bipolar Fuzzy Sets (BFSs) were introduced as a new extension of fuzzy sets. In the article it is proved that each BFS can be transformed injectively or bijectively to an IFSs.
Krassimir Atanassov, Janusz Kacprzyk
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Remarks on the intuitionistic fuzzy sets — III
Fuzzy Sets and Systems, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Intuitionistic fuzzy parameterized fuzzy soft set theory and its application
Journal of Intelligent & Fuzzy Systems, 2018This paper presents the opinion of intuitionistic fuzzy parameterized fuzzy soft set (IFP-FS set) by considering the images of approximate function in the fuzzy subsets of the set of universe of discourse rather than to a crisp subset.
B. Joshi +4 more
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Intuitionistic Fuzzy Rough Sets Determined by Intuitionistic Fuzzy Implicators
2010 IEEE International Conference on Granular Computing, 2010The primitive notions in rough set theory are lower and upper approximation operators defined by a fixed binary relation and satisfy many interesting properties. Many types of generalized rough set models have been developed in the literature. This paper investigates intuitionistic fuzzy rough sets resulted from approximations of intuitionistic fuzzy ...
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Intuitionistic Fuzzy Sets as a Generalization of Fuzzy Sets
2014In the mid-1980s Atanassov introduced the concept of an intuitionistic fuzzy set. Basically, his idea was that unlike the conventional fuzzy sets in which imprecision is just modeled by the membership degree from [0,1], and for which the non-membership degree is just automatically the complementation to 1 of the membership degree, in an intuitionistic ...
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On the Intuitionistic Fuzzy Topological Structures of Rough Intuitionistic Fuzzy Sets
2014A rough intuitionistic fuzzy set is the result of approximation of an intuitionistic fuzzy set with respect to a crisp approximation space. In this paper, we investigate topological structures of rough intuitionistic fuzzy sets. We first show that a reflexive crisp rough approximation space can induce an intuitionistic fuzzy Alexandrov space.
You-Hong Xu, Wei-Zhi Wu, Guoyin Wang
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