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Revisiting fuzzy set operations: A rational approach for designing set operators for type-2 fuzzy sets and type-2 like fuzzy sets

Expert Systems with Applications, 2018
Abstract Created by Zadeh in 1965, Fuzzy Set Theory (FST) has been continuously developed in the past five decades and has established itself one of the preeminent approximate reasoning methodologies. In the literature, there exists multitudes of differing approaches for specifying FST's foundational building blocks (such as the various versions of ...
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Fuzzy rough sets determined by fuzzy implication operators

2009 IEEE International Conference on Granular Computing, 2009
In this paper, determined by a fuzzy implication operator, a general type of dual pair of lower and upper fuzzy rough approximation operators induced by a fuzzy approximation space is first introduced. Properties of the approximation operators are then examined.
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On Pythagorean and Complex Fuzzy Set Operations

IEEE transactions on fuzzy systems, 2016
S. Dick   +2 more
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Fuzzy sets induced by consensus and set operations

Fuzzy Sets and Systems, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Sets and Their Operations

2000
For a long time it has been recognized that an exact description of many real life physical situations may be virtually impossible. This is due to the high degree of imprecision involved in real world situations. Zadeh, in his seminal papers [Zadeh, 1965; and 1968], proposed fuzzy set theory as the means for quantifying the inherent fuzziness that is ...
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Fuzzy Set-Theoretic Operators and Quantifiers

2000
This chapter summarizes main ways to extend classical set-theoretic operations (complementation, intersection, union, set-difference) and related concepts (inclusion, quantifiers) for fuzzy sets. Since these extensions are mainly pointwisely defined, we review basic results on the underlying unary or binary operations on the unit interval such as ...
János Fodor, Ronald R. Yager
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Consolidation operator for Intuitionistic Fuzzy Set

NAFIPS 2009 - 2009 Annual Meeting of the North American Fuzzy Information Processing Society, 2009
Intuitionistic Fuzzy Set (IFS) is the first major attempt to capture both membership as well as the nonmembership in a comprehensive way. The currently available operators of IFS, at the very least, cannot be used for of knowledge consolidation. In this paper the consolidation operator for IFS has been introduced.
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Generation of a pseudothesaurus for information retrieval based on cooccurrences and fuzzy set operations

IEEE Transactions on Systems, Man and Cybernetics, 1983
S. Miyamoto, T. Miyake, K. Nakayama
semanticscholar   +1 more source

Double-quantitative rough fuzzy set based decisions: A logical operations method

Information Sciences, 2017
Bingjiao Fan   +3 more
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New operators for Fermatean fuzzy sets

2020
In this paper, we define some new operators[(A@B), (A$B), (A#B), (A∗ B), (A → B)] of Fermatean fuzzy sets. Then we discuss several properties of these operators. Further we prove necessity and possibility operators of Fermatean fuzzy sets and investigates the algebraic properties.
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