General negations in fuzzy set theory

DOI10.1016/0022-247X(83)90282-2zbMath0518.04003MaRDI QIDQ1053677

Sergei V. Ovchinnikov

Publication date: 1983

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

zbMATH Keywords

fuzzy setinvolutionnegation

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72)

Related Items (17)

Semiautoduality in a restricted family of aggregation operators ⋮ Generalized fuzzy connectives on \(MV\)-algebras ⋮ Fuzzy intersection graphs ⋮ Negation and affirmation: the role of involutive negators ⋮ On the structure of involutive, contracting and expanding negations ⋮ AN OVERVIEW ON THE CONSTRUCTION OF FUZZY SET THEORIES ⋮ A COMPUTATIONAL SIMPLE MODEL TO REPRESENT AND MANIPULATE LINGUISTIC IMPRECISION ⋮ On antonym and negate in fuzzy logic ⋮ Natural negation of interval-valued \(t\)-(co) norms and implications ⋮ Ordinal sums of the main classes of fuzzy negations and the natural negations of t-norms, t-conorms and fuzzy implications ⋮ On a possible generalization of the Bayes method of inference ⋮ Intuitionistic fuzzy generators. Application to intuitionistic fuzzy complementation ⋮ WEAK FUZZY S-SUBSETHOOD MEASURES: OVERLAP INDEX ⋮ Some representable De Morgan algebras ⋮ A review of fuzzy set aggregation connectives ⋮ Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets ⋮ Automorphisms, negations and implication operators

Cites Work

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• On fuzzy complements
• On some logical connectives for fuzzy sets theory
• The concept of a linguistic variable and its application to approximate reasoning. I
• L-fuzzy sets
• On the measure of fuzziness and negation. II. Lattices
• Fuzzy sets

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