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Terminological difficulties in fuzzy set theory—The case of “Intuitionistic Fuzzy Sets”
Fuzzy Sets and Systems, 2005This discussion paper, authored by a panel of experts in fuzzy sets, brings an issue of terminology of intuitionistic fuzzy sets and its relevance vis-à-vis the concept of intuitionistic logic encountered in the literature. Intuitionistic fuzzy sets, as introduced by Atanassov in 1983, are described by a pair of membership functions \((A+, A-)\) where \
Didier Dubois +4 more
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2015
This chapter aims to present the main concepts and mathematical notions of the fuzzy set theory (also called fuzzy logic or fuzzy logic theory) which are necessary for the understanding of this work. It also gives a non exhaustive overview of the application domains where the fuzziness has been successfully applied.
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This chapter aims to present the main concepts and mathematical notions of the fuzzy set theory (also called fuzzy logic or fuzzy logic theory) which are necessary for the understanding of this work. It also gives a non exhaustive overview of the application domains where the fuzziness has been successfully applied.
openaire +1 more source
1999
Da die Fuzzy-Set-Theorie ein Instrument zur Abbildung der in Kapitel zwei dargestellten Imponderabilien und Unsicherheiten ist, werden nachfolgend sowohl die elementaren Grundla-gen als auch die auf ihnen basierenden und ftir die weitere Untersuchung relevanten Fuzzy-Algorithmen vorgestellt.
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Da die Fuzzy-Set-Theorie ein Instrument zur Abbildung der in Kapitel zwei dargestellten Imponderabilien und Unsicherheiten ist, werden nachfolgend sowohl die elementaren Grundla-gen als auch die auf ihnen basierenden und ftir die weitere Untersuchung relevanten Fuzzy-Algorithmen vorgestellt.
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1984
An extension of conventional set theory, with the grade of membership for an element in a set taking a value anywhere in the range [0,1], instead of 0 or 1 only. Developed as a means of avoiding the complexity in descriptions of subjective or ill-understood processes. Fuzzy logic extends the simple Boolean operators and can express Implication.
Alan Bundy, Lincoln Wallen
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An extension of conventional set theory, with the grade of membership for an element in a set taking a value anywhere in the range [0,1], instead of 0 or 1 only. Developed as a means of avoiding the complexity in descriptions of subjective or ill-understood processes. Fuzzy logic extends the simple Boolean operators and can express Implication.
Alan Bundy, Lincoln Wallen
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A Generalized Fuzzy-Set Theory
IEEE Transactions on Systems, Man, and Cybernetics, 1978openaire +2 more sources
Three-Way Group Conflict Analysis Based on Pythagorean Fuzzy Set Theory
IEEE Transactions on Fuzzy Systems, 2020Guangming Lang +2 more
exaly