ON A NEW CLASS OF IMPLICATIONS: (g,min)-IMPLICATIONS AND SEVERAL CLASSICAL TAUTOLOGIES

DOI10.1142/S0218488512500018zbMath1247.03035MaRDI QIDQ2886928

Hua-Wen Liu

Publication date: 14 May 2012

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

zbMATH Keywords

fuzzy implicationfuzzy connectivesiterative Boolean-like lawslaw of importationdistributivity of fuzzy implications

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Theory of fuzzy sets, etc. (03E72) Functional equations and inequalities (39B99)

Related Items (11)

On a New Class of Fuzzy Coimplications Derived from Generalizedh-Generators and Fuzzy Negations ⋮ A new family of (A, N)-implications: Construction and properties ⋮ \((\mathtt{f}_{\mathtt{I}}, \omega)\)-implications and distributivity of implications on \(\mathcal{L}\) over t-representable t-norms: the case of strict and nilpotent t-norms ⋮ A method to construct fuzzy implications -- rotation construction ⋮ New results on ordinal sum implications based on ordinal sum of overlap functions ⋮ A new class of fuzzy implications derived from generalized \(h\)-generators ⋮ The study on semicopula based implications ⋮ Deresiduums of implications on a complete lattice ⋮ Characterizations of \((U^2,N)\)-implications generated by 2-uninorms and fuzzy negations from the point of view of material implication ⋮ Distributivity of a class of ordinal sum implications over t-norms and t-conorms ⋮ On a new class of implications: \((g,u)\)-implications and the distributive equations

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