On the distributivity of fuzzy implications over representable uninorms

DOI10.1016/j.fss.2010.03.005zbMath1201.03013OpenAlexW2062098912MaRDI QIDQ991411

Michał Baczyński

Publication date: 7 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.fss.2010.03.005

zbMATH Keywords

fuzzy implicationCauchy functional equationrepresentable uninorm

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (5)

The distributive laws of fuzzy implications over overlap and grouping functions ⋮ Distributivity of Implication Functions over Decomposable Uninorms Generated from Representable Uninorms in Interval-Valued Fuzzy Sets Theory ⋮ Cauchy-like functional equations for uninorms continuous in \((0,1)^{2}\) ⋮ On some equation related to the distributivity laws of fuzzy implications. Jensen equation extended to the infinity ⋮ Distributivity equations of implications based on continuous triangular conorms. II

Cites Work

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• Distributivity of residual implications over conjunctive and disjunctive uninorms
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• Uninorm aggregation operators
• Automorphisms, negations and implication operators
• Structure of Uninorms
• ON A CLASS OF DISTRIBUTIVE FUZZY IMPLICATIONS
• CONTRAPOSITIVE SYMMETRY OF DISTRIBUTIVE FUZZY IMPLICATIONS
• Uninorm Basics

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