Results 151 to 160 of about 13,230 (200)
Some of the next articles are maybe not open access.
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
openaire +2 more sources
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
openaire +1 more source
Non–fuzzy sets for intuitionistic fuzzy sets
Journal of Discrete Mathematical Sciences and Cryptography, 2018AbstractWe 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
openaire +1 more source
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
openaire +1 more source
Fuzzy rough sets are intuitionistic L-fuzzy sets
Fuzzy Sets and Systems, 1998The 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.
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
Circular intuitionistic fuzzy sets
Journal of Intelligent & Fuzzy Systems, 2020In 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.
openaire +1 more source
Complex intuitionistic fuzzy sets
AIP Conference Proceedings, 2012This 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 +1 more
openaire +1 more source
2010 2nd International Workshop on Intelligent Systems and Applications, 2010
The concept of intuitionistic fuzzy soft set (IFSS) which combines the advantage of soft set and K.Atanassov's intuitionistic fuzzy set (IFS) is proposed. Then some basic notions of IFSS are presented. Based on the "Complement", "intersection", "union" operations on IFS theory, the "Complement", "intersection", "union", "AND" and "OR" operations of ...
Yong-jie Xu, Yong-kan Sun, Deng-feng Li
openaire +1 more source
The concept of intuitionistic fuzzy soft set (IFSS) which combines the advantage of soft set and K.Atanassov's intuitionistic fuzzy set (IFS) is proposed. Then some basic notions of IFSS are presented. Based on the "Complement", "intersection", "union" operations on IFS theory, the "Complement", "intersection", "union", "AND" and "OR" operations of ...
Yong-jie Xu, Yong-kan Sun, Deng-feng Li
openaire +1 more source