On some equation related to the distributivity laws of fuzzy implications. Jensen equation extended to the infinity

DOI10.1016/j.fss.2018.10.005zbMath1423.39033OpenAlexW2897314022WikidataQ114175414 ScholiaQ114175414MaRDI QIDQ2328839

Michał Baczyński, Wanda Niemyska

Publication date: 16 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.fss.2018.10.005

zbMATH Keywords

functional equationdistributivityfuzzy implicationJensen equationfuzzy connectives

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Functional equations for functions with more general domains and/or ranges (39B52)

Cites Work

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• Distributive equations of implications based on nilpotent triangular norms
• Distributivity of residual implications over conjunctive and disjunctive uninorms
• On the distributivity of fuzzy implications over continuous and Archimedean triangular conorms
• On the distributivity of fuzzy implications over representable uninorms
• Triangular norms
• Some remarks on the distributive equation of fuzzy implication and the contrapositive symmetry for continuous, Archimedean t-norms
• ON A CLASS OF DISTRIBUTIVE FUZZY IMPLICATIONS

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