Results 181 to 190 of about 5,179 (231)

Entropy for intuitionistic fuzzy sets

Fuzzy Sets and Systems, 2001
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Szmidt, Eulalia, Kacprzyk, Janusz
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Intuitionistic fuzzy logic and intuitionistic fuzzy set theory

Journal of Symbolic Logic, 1984
In 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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Generalised Atanassov Intuitionistic Fuzzy Sets Are Actually Intuitionistic Fuzzy Sets

2020
The 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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Non–fuzzy sets for intuitionistic fuzzy sets

Journal of Discrete Mathematical Sciences and Cryptography, 2018
AbstractWe examine an important paper of Gerstenkorn and Manko that was published in Fuzzy Sets and Systems. Their paper is the pioneer for correlation coefficient similarity measure. We point out several questionable results and then provide our improvement that will useful to develop theoretical structure for similarity measures under intuitionistic ...
Han-Wen Tuan, Henry Chung-Jen Chao
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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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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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A Note on Intuitionistic Fuzzy Sets, Interval Valued Intuitionistic Fuzzy Sets and Picture Fuzzy Sets

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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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.
Evgeniy Marinov, Radoslav Tsvetkov, Peter Vassilev   +2 more
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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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Complex intuitionistic fuzzy sets

AIP Conference Proceedings, 2012
This paper presents a new concept of complex intuitionistic fuzzy set (CIFS) which is generalized from the innovative concept of a complex fuzzy set (CFS) by adding the non-membership term to the definition of CFS. The novelty of CIFS lies in its ability for membership and non-membership functions to achieve more range of values.
Abdulazeez (Moh'd Jumah) S. Alkouri, Abdul Razak Salleh   +1 more
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