On a new contrapositivisation technique for fuzzy implications constructed from quasi-overlap and quasi-grouping functions

DOI10.1016/j.ijar.2023.109012MaRDI QIDQ6066847

Regivan H. N. Santiago, Fernando Neres, Benjamín René Callejas Bedregal

Publication date: 16 November 2023

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

zbMATH Keywords

fuzzy logicfuzzy implication\(N\)-compatibilitycontrapositivisationquasi-overlap functioncontrapositive symmetrization

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52)

Cites Work

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• New results on overlap and grouping functions
• Aggregating fuzzy implications
• On \((G, N)\)-implications derived from grouping functions
• \(QL\)-operations and \(QL\)-implication functions constructed from tuples \((O,G,N)\) and the generation of fuzzy subsethood and entropy measures
• Intersections between some families of \((\mathrm U, \mathrm N)\)- and \(\mathrm{RU}\)-implications
• Contrapositive symmetrisation of fuzzy implications -- revisited
• Fuzzy implications
• Triangular norms
• A study of (T,N)-implications and its use to construct a new class of fuzzy subsethood measure
• The law of \(O\)-conditionality for fuzzy implications constructed from overlap and grouping functions
• On residual implications derived from overlap functions
• New types of contrapositivisation of fuzzy implications with respect to fuzzy negations
• Contrapositive symmetry of fuzzy implications
• Advances in fuzzy implication functions
• New family of triangular norms via contrapositive symmetrization of residuated implications
• Inflationary BL-algebras obtained from 2-dimensional general overlap functions
• Binary relations induced from quasi-overlap functions and quasi-grouping functions on a bounded lattice
• Introducing fuzzy reactive graphs: a simple application on biology
• Multidimensional fuzzy implications
• Residuated implications derived from quasi-overlap functions on lattices
• Ordinal sums of the main classes of fuzzy negations and the natural negations of t-norms, t-conorms and fuzzy implications
• Absorbent tuples of aggregation operators
• On the characterizations of \((S,N)\)-implications
• Interval representations, Łukasiewicz implicators and Smets-Magrez axioms
• Overlap functions
• A normal form which preserves tautologies and contradictions in a class of fuzzy logics
• ℐ𝒢,𝒩-Implications Induced from Quasi-Grouping Functions and Negations on Bounded Lattices
• Lattice-valued overlap and quasi-overlap functions