Some remarks on the distributive equation of fuzzy implication and the contrapositive symmetry for continuous, Archimedean t-norms

DOI10.1016/j.ijar.2012.10.001zbMath1280.03029OpenAlexW2040350308MaRDI QIDQ2375360

Publication date: 13 June 2013

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2012.10.001

zbMATH Keywords

functional equations t-norm negation fuzzy implication t-conorm fuzzy connectives contrapositive symmetry distributive equations of implications

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37) Systems of functional equations and inequalities (39B72)

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On a New Class of Fuzzy Coimplications Derived from Generalizedh-Generators and Fuzzy Negations ⋮ Left and right distributivity between semi-uninorms and semi-\(S\)-uninorms ⋮ A survey of fuzzy implication algebras and their axiomatization ⋮ 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 ⋮ Migrativity properties of uninorms over 2-uninorms ⋮ On some equation related to the distributivity laws of fuzzy implications. Jensen equation extended to the infinity ⋮ Symmetric implicational method of fuzzy reasoning ⋮ On fuzzy implications: an axiomatic approach ⋮ Unnamed Item

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