Lattice operations on fuzzy implications and the preservation of the exchange principle

DOI10.1016/j.fss.2016.02.017zbMath1378.03025OpenAlexW2308164102MaRDI QIDQ679808

Nageswara Rao Vemuri, Balasubramaniam Jayaram

Publication date: 22 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.fss.2016.02.017

zbMATH Keywords

fuzzy implicationexchange principlecommutativity of antecedentsgeneralized exchange principlelattice operationsmutual exchangeability

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Other algebras related to logic (03G25)

Cites Work

• Representations through a monoid on the set of fuzzy implications
• Aggregating fuzzy implications
• Open problems from the 12th international conference on fuzzy set theory and its applications
• On some new classes of implication operators and their role in approximate reasoning
• Fuzzy implications
• The \(\circledast\)-composition of fuzzy implications: closures with respect to properties, powers and families
• Mutually exchangeable fuzzy implications
• Compositions of invariant fuzzy implications
• Fuzzy Implications: Novel Generation Process and the Consequent Algebras

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