On the transitivity of containment and equivalence in fuzzy power set theory

DOI10.1016/0022-247X(86)90224-6zbMath0609.03018MaRDI QIDQ1086558

Richard Willmott

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

fuzzified equalityfuzzified inclusion relationgeneralized transitivity propertymany-valued implication operatormean value procedures

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Other classical set theory (including functions, relations, and set algebra) (03E20)

Related Items (10)

Hybrid monotonic inclusion measure and its use in measuring similarity and distance between fuzzy sets ⋮ Quantitative rough sets based on subsethood measures ⋮ Hyperspace fuzzy binary relations ⋮ On rational cardinality-based inclusion measures ⋮ Definition and construction of fuzzy DI-subsethood measures ⋮ \(L\)-fuzzy valued inclusion measure, \(L\)-fuzzy similarity and \(L\)-fuzzy distance ⋮ Fuzzy inclusion and similarity through coherent conditional probability ⋮ Inclusion grade and fuzzy implication operators ⋮ WEAK FUZZY S-SUBSETHOOD MEASURES: OVERLAP INDEX ⋮ Subsethood measure: new definitions

Cites Work

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• Fuzzy power sets and fuzzy implication operators
• Two fuzzier implication operators in the theory of fuzzy power sets
• Axiomatic approach to implication for approximate reasoning with fuzzy logic
• Set theory for fuzzy sets of higher level
• Semantics of implication operators and fuzzy relational products
• Fuzzy sets

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