On distributivity equations of implications and contrapositive symmetry equations of implications

DOI10.1016/j.fss.2014.01.010zbMath1334.03025OpenAlexW2036468166MaRDI QIDQ279335

Michał Baczyński, Feng Qin

Publication date: 28 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.fss.2014.01.010

zbMATH Keywords

continuous Archimedean t-normscontinuous t-normsfuzzy connectivescontrapositive symmetry equations of implicationsdistributivity equations of implicationsfuzzy implications

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52)

Related Items (4)

Distributivity of \(N\)-ordinal sum fuzzy implications over \(t\)-norms and \(t\)-conorms ⋮ On the distributivity of fuzzy implications and the weighted \(S\)-implications ⋮ A Survey of the Distributivity of Implications over Continuous T-norms and the Simultaneous Satisfaction of the Contrapositive Symmetry ⋮ Residual operations of monotone binary operations over complete lattices

Cites Work

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• Distributive equations of implications based on nilpotent triangular norms
• Fuzzy implications
• Modus ponens and modus tollens in discrete implications
• Triangular norms
• Automorphisms, negations and implication operators
• Contrapositive symmetry of fuzzy implications
• A new class of fuzzy implications. Axioms of fuzzy implication revisited
• On the representation of fuzzy rules
• The distributive equations for idempotent uninorms and nullnorms
• ON A CLASS OF DISTRIBUTIVE FUZZY IMPLICATIONS
• CONTRAPOSITIVE SYMMETRY OF DISTRIBUTIVE FUZZY IMPLICATIONS

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