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On Separability of Intuitionistic Fuzzy Sets
2003Issues related to the separability of two intuitionistic fuzzy sets (IFSs; see [1]) are considered. The obtained results are relevant for decision making and classification. An example illustrating how the proposed solutions may improve decision making is presented.
Krassimir T. Atanassov +3 more
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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.
Peter Vassilev, Krassimir Atanassov
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On the Intuitionistic Fuzzy Topological Structures of Rough Intuitionistic Fuzzy Sets
2014A rough intuitionistic fuzzy set is the result of approximation of an intuitionistic fuzzy set with respect to a crisp approximation space. In this paper, we investigate topological structures of rough intuitionistic fuzzy sets. We first show that a reflexive crisp rough approximation space can induce an intuitionistic fuzzy Alexandrov space.
You-Hong Xu +2 more
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Intuitionistic Fuzzy Rough Sets Determined by Intuitionistic Fuzzy Implicators
2010 IEEE International Conference on Granular Computing, 2010The 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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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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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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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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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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Remarks on the intuitionistic fuzzy sets — III
Fuzzy Sets and Systems, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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The logarithmic operational laws of intuitionistic fuzzy sets and intuitionistic fuzzy numbers
Journal of Intelligent & Fuzzy Systems, 2017Intuitionistic fuzzy set (IFS) is an extension of fuzzy set. The basic element of an IFS is the ordered pair called intuitionistic fuzzy number (IFN). So far, some basic operational laws of IFNs are defined, but not including the logarithmic operation. In this paper, a logarithmic operational law about IFNs is defined, in which the
Zehua Li, Fuyi Wei
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