Results 201 to 210 of about 14,800 (254)
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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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A Fuzzy Set Corresponding to an Intuitionistic Fuzzy Set
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1998We propose a new approach to find a fuzzy set which corresponds to a given intuitionistic fuzzy set (Atanassov, 1986) in a certain sense. This will help extend a huge array of fuzzy properties, models, etc. available to the case of intuitionistic fuzzy sets.
Eulalia Szmidt, Janusz Kacprzyk
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Distances between intuitionistic fuzzy sets [PDF]
Fuzzy Sets and Systems, 2000 A new geometric interpretation and new distances of intuitionistic fuzzy sets [\textit{K. T. Atanassov}, ``Intuitionistic fuzzy sets'', Fuzzy Sets Syst. 20, 87-96 (1986; Zbl 0631.03040); Intuitionistic fuzzy sets. Theory and applications. Physica-Verlag, Heidelberg (1999; Zbl 0939.03057)] are introduced. These new concepts are well illustrated.
Janusz Kacprzyk, Eulalia Szmidt
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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 T. 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 T. Atanassov
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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
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Remarks on the intuitionistic fuzzy sets
Fuzzy Sets and Systems, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Intuitionistic Fuzzy Rough Set Based on the Cut Sets of Intuitionistic Fuzzy Set
2017In this paper, the triple valued fuzzy set is selected as the cut set of intuitionistic fuzzy set and four kinds of cut sets of intuitionistic fuzzy sets are selected to investigate the intuitionistic fuzzy rough set. The intuitionistic fuzzy rough set is constructed by using the representation theorem of intuitionistic fuzzy set, and it is proved to ...
Le-tao Wu, Xue-hai Yuan
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Fuzzy entropy on intuitionistic fuzzy sets
International Journal of Intelligent Systems, 2006In this article we exploit the concept of probability for defining the fuzzy entropy of intuitionistic fuzzy sets (IFSs). We then propose two families of entropy measures for IFSs and also construct the axiom definition and properties. Two definitions of entropy for IFSs proposed by Burillo and Bustince in 1996 and Szmidt and Kacprzyk in 2001 are used.
Wen-Liang Hung, Miin-Shen Yang
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