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A novel approach to group decision-making using generalized bipolar neutrosophic sets. [PDF]
PLoS OneFahmi A, Khan A, Abdeljawad T.
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Intuitionistic fuzzy sets and -fuzzy sets
Fuzzy Sets and Systems, 2000The definitions of the concepts of \(L\)-fuzzy sets, intuitionistic fuzzy sets (IFSs) [see \textit{K. Atanassov}, ibid. 20, 87--96 (1986; Zbl 0631.03040)] and intuitionistic \(L\)-fuzzy sets (IL-FSs) [see \textit{K. Atanassov} and \textit{S. Stoeva}, in: Cybernetics and systems research 2, Proc. 7th Eur.
Ying-Yu He, Guo-Jun Wang
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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.
Satoko Titani, Gaisi Takeuti
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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.
S. K. Samanta, Amitava Samanta
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Correlation of intuitionistic fuzzy sets
Fuzzy Sets and Systems, 1991The paper shows a new direction in the development of intuitionistic fuzzy set theory. A functional, a correlation and a correlation coefficient of intuitionistic fuzzy sets are defined and some of their properties are studied.
Jacek Mańko, Tadeusz Gerstaenkorn
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Entropy for intuitionistic fuzzy sets
Fuzzy Sets and Systems, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eulalia Szmidt, Janusz Kacprzyk
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Vague sets are intuitionistic fuzzy sets
Fuzzy Sets and Systems, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. Burillo, Humberto Bustince
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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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The theory of intuitionistic fuzzy sets based on the intuitionistic fuzzy special sets
Information Sciences, 2014Abstract In this paper, we build up a connection between intuitionistic fuzzy special set (IFSS) and intuitionistic fuzzy set (IFS). Firstly, by using the concept of IFSS, we present the concept of intuitionistic nested set (INS) and show that an IFS can be determined by an INS. Secondly, we introduce the concept of λ -cut sets of IFS and show
Hongxing Li, Cheng Zhang, Xuehai Yuan
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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.
Krassimir T. Atanassov, Peter Vassilev
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