Results 211 to 220 of about 14,800 (254)

Distance Measures for Intuitionistic Fuzzy Sets and Interval Valued Intuitionistic Fuzzy Sets

2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019
Following the importance of distance measures in pattern classification, and their application to many kinds of data, crisp, fuzzy, etc, distance measures between intuitionistic fuzzy sets (IFSs) are proposed and generalized to distances between interval valued intuitionistic fuzzy sets (IVIFSs).
Leila Baccour, Adel M. Alimi
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On matching of intuitionistic fuzzy sets

Information Sciences, 2020
Abstract In the paper, we describe the new measure of matching two intuitionistic fuzzy sets. The operations known in the intuitionistic fuzzy set theory are used, and the perturbation of one intuitionistic fuzzy set by another intuitionistic fuzzy set is understood as an impact of one intuitionistic fuzzy set on another intuitionistic fuzzy set ...
Maciej Krawczak, Grażyna Szkatuła
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Intuitionistic Fuzzy Inclusion Indicator of Intuitionistic Fuzzy Sets

2015
In 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.
Radoslav Tsvetkov, Evgeniy Marinov, Peter Vassilev   +2 more
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Similarity measures on intuitionistic fuzzy sets

Pattern Recognition Letters, 2003
Summary: Intuitionistic fuzzy sets (IFSs), proposed by Atanassov, have gained attention from researchers for their applications in various fields. Then similarity measures between IFSs were developed. In this paper, firstly, some existing measures of similarity are reviewed.
Pengfei Shi, Zhizhen Liang
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Circular intuitionistic fuzzy sets

Journal of Intelligent & Fuzzy Systems, 2020
In this paper an extension of the Intuitionistic Fuzzy Set called Circular Intuitionistic Fuzzy Set is introduced and studied. Some of the relations and operations over C-IFS are established.
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Fuzzy rough sets are intuitionistic L-fuzzy sets

Fuzzy Sets and Systems, 1998
The concepts of intuitionistic \(L\)-fuzzy sets (IL-FS) [see \textit{K. Atanassov} and \textit{S. Stoeva}, ``Intuitionistic \(L\)-fuzzy sets'', in: R. Trappl (ed.), Cybernetics and systems research 2, 539-540 (1984; Zbl 0547.03030)], which are extensions of the IFSs [\textit{K. T. Atanassov}, ``Intuitionistic fuzzy sets'', Fuzzy Sets Syst.
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Fuzzy Sets, Intuitionistic Fuzzy Sets

2017
In 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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Correlation of Intuitionistic Fuzzy Sets [PDF]

, 2010
The correlation coefficient (Pearson's r) is one of the most frequently used tools in statistics. In this paper we propose a correlation coefficient of Atanassov's intuitionistic fuzzy sets (A-IFSs). It provides the strength of the relationship between A-IFSs and also shows if the considered sets are positively or negatively correlated.
Eulalia Szmidt, Janusz Kacprzyk
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Systems on intuitionistic fuzzy special sets and intuitionistic fuzzy special measures

Information Sciences, 2000
On the base of the notions of intuitionistic fuzzy set (extension of the ordinary fuzzy set) [the reviewer, Fuzzy Sets Syst. 20, 87-96 (1986; Zbl 0631.03040)], intuitionistic fuzzy point, and intuitionistic fuzzy topological space [\textit{D. Çoker}, Turk. J. Math. 20, 343-351 (1996; Zbl 0862.04007); \textit{S. Özçag} and \textit{D. Çoker}, Int.
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Intuitionistic Fuzzy Rough Sets Determined by Intuitionistic Fuzzy Implicators

2010 IEEE International Conference on Granular Computing, 2010
The 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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