Results 171 to 180 of about 4,251 (217)

Vague sets are intuitionistic fuzzy sets

Fuzzy Sets and Systems, 1996
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Humberto Bustince, Pedro J. Burillo
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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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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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Correlation of Intuitionistic Fuzzy Sets

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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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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On the Temporal Intuitionistic Fuzzy Sets

2022
The 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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On Separability of Intuitionistic Fuzzy Sets

2003
Issues 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, Janusz Kacprzyk, Eulalia Szmidt, Ljudmila P. Todorova   +3 more
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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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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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