Bijective transformations of fuzzy implications -- an algebraic perspective

DOI10.1016/j.fss.2015.08.003zbMath1380.03034OpenAlexW1128744201WikidataQ114175416 ScholiaQ114175416MaRDI QIDQ2398048

Balasubramaniam Jayaram, Nageswara Rao Vemuri

Publication date: 15 August 2017

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2015.08.003

zbMATH Keywords

conjugacy classesgroup actionfuzzy implicationbijective transformationequivalence relationfuzzy connectives

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Algebraic monoids (20M32)

Cites Work

• Representations through a monoid on the set of fuzzy implications
• Homomorphisms on the monoid of fuzzy implications and the iterative functional equation \(I(x, I(x, y)) = I(x, y)\)
• Fuzzy implications
• On special fuzzy implications
• The \(\circledast\)-composition of fuzzy implications: closures with respect to properties, powers and families
• FUZZY IMPLICATIONS AND GENERALIZED QUANTIFIERS
• Fuzzy Implications: Novel Generation Process and the Consequent Algebras
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