RU and \((U,N)\)-implications satisfying modus ponens

DOI10.1016/J.IJAR.2016.01.003zbMath1348.03024OpenAlexW2250912615MaRDI QIDQ274463

F. Blanchet-Sadri, M. Dambrine

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.ijar.2016.01.003

zbMATH Keywords

modus ponens\((U,N)\)-implicationfuzzy connectivesfuzzy implication functionR-implicationresidual implicationuninorm

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52)

Related Items (8)

Modus tollens with respect to uninorms: \(U\)-modus tollens ⋮ Modus ponens property of \(T\)-power based implications ⋮ On functional equations and inequalities related to some reasoning schemes that involve fuzzy implications ⋮ On a Generalization of the Modus Ponens: U-conditionality ⋮ The law of \(O\)-conditionality for fuzzy implications constructed from overlap and grouping functions ⋮ Fuzzy implication functions based on powers of continuous t-norms ⋮ Characterizations of residual implications derived from uni-nullnorms ⋮ Uninorm based residual implications satisfying the modus ponens property with respect to a uninorm

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