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(t - t*) - Intuitionistic fuzzy sets
2006 3rd International IEEE Conference Intelligent Systems, 2006In this paper we introduce definitions of t-intuitionistic fuzzy sets and (t - t*)-intuitionistic fuzzy sets where t(t*) is a t-norm ( t-conorm ). Algebraic properties of them are studied. This put the theory of (k1, k2)-intuitionistic fuzzy sets and generalized intuitionistic fuzzy sets in a further general framework.
Amitava Samanta, S. K. Samanta
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On the Temporal Intuitionistic Fuzzy Sets
2022The Temporal Intuitionistic Fuzzy Sets (TIFSs) are one of the essential extensions of the ordinary Intuitionistic Fuzzy Sets (IFSs). For them different operations, relations and operators (from modal, topological and level-types) have been defined and their basic properties have been studied.
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On intuitionistic fuzzy measures and the count of intuitionistic fuzzy sets
2013 IEEE International Conference on Computational Intelligence and Computing Research, 2013There have been three approaches to find the measures of fuzzy sets, which extend the count function for crisp sets. The first one is due to Deluca and Termini; second one a measure theoretic approach due to Zadeh and a bag theoretic approach due to Tripathy et al. Intuitionistic fuzzy sets are generalizations of fuzzy sets.
B. K. Tripathy +2 more
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Intuitionistic fuzzy logic and intuitionistic fuzzy set theory
Journal of Symbolic Logic, 1984In 1965 Zadeh introduced the concept of fuzzy sets. The characteristic of fuzzy sets is that the range of truth value of the membership relation is the closed interval [0, 1] of real numbers. The logical operations ⊃, ∼ on [0, 1] which are used for Zadeh's fuzzy sets seem to be Łukasiewciz's logic, where p ⊃ q = min(1, 1 − p + q), ∼ p = 1 − p. L.
Takeuti, Gaisi, Titani, Satoko
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Intuitionistic fuzzy value similarity measures for intuitionistic fuzzy sets
Computational and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zichun Chen, Penghui Liu
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IEEE transactions on fuzzy systems, 2018
This paper presents a novel probabilistic similarity measure (PSM) for Atanassov intuitionistic fuzzy sets. It then exploits PSM to propose an adaptive probabilistic similarity degree and develops the novel probabilistic $\lambda$-cutting algorithm for ...
Q. Lohani +2 more
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This paper presents a novel probabilistic similarity measure (PSM) for Atanassov intuitionistic fuzzy sets. It then exploits PSM to propose an adaptive probabilistic similarity degree and develops the novel probabilistic $\lambda$-cutting algorithm for ...
Q. Lohani +2 more
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2020
In the present paper we consider intuitionistic fuzzy sets, interval valued intuitionistic fuzzy sets and picture fuzzy sets. We discuss the similarities and differences between them.
Peter Vassilev, Krassimir Atanassov
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In the present paper we consider intuitionistic fuzzy sets, interval valued intuitionistic fuzzy sets and picture fuzzy sets. We discuss the similarities and differences between them.
Peter Vassilev, Krassimir Atanassov
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The theory of intuitionistic fuzzy sets based on the intuitionistic fuzzy special sets
Information Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuan, Xue-hai +2 more
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Fuzzy Sets, Intuitionistic Fuzzy Sets
2017In this chapter, we define four separations of generalized interval-valued intuitionistic fuzzy sets (GIVIFSs). In fact, all interval-valued Intuitionistic fuzzy sets (IVIFSs) are GIVIFSs but all GIVIFSs are not IVIFSs. Also, we studied some properties of the four separated subsets of GIVIFSs.
Monoranjan Bhowmik, Madhumangal Pal
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Generalised Atanassov Intuitionistic Fuzzy Sets Are Actually Intuitionistic Fuzzy Sets
2020The purpose of this paper is to investigate the relationship between the recently introduced Generalised Atanassov Intuitionistic Fuzzy Sets and the Intuitionistic Fuzzy Sets (also sometimes called Atanassov sets). As a result it will be established that the two notions are completely equivalent.
Peter Vassilev, Krassimir Atanassov
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