Implications in bounded systems

DOI10.1016/J.INS.2014.06.031zbMath1355.03015OpenAlexW1995380043MaRDI QIDQ508604

Yong-Cai Geng, Sumit K. Garg

Publication date: 7 February 2017

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2014.06.031

zbMATH Keywords

implicationnilpotent operatorR-implicationbounded systemŁukasiewicz operator systemS-implication

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52)

Related Items (2)

Equivalence operators in nilpotent systems ⋮ Self-dual operators and a general framework for weighted nilpotent operators

Cites Work

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• \((S,N)\)- and \(R\)-implications: A state-of-the-art survey
• On the first place antitonicity in QL-implications
• Negation and affirmation: the role of involutive negators
• Fuzzy implications
• On dependencies and independencies of fuzzy implication axioms
• Implication in fuzzy logic
• Fuzzy power sets and fuzzy implication operators
• A survey on different triangular norm-based fuzzy logics
• Triangular norms
• Automorphisms, negations and implication operators
• Contrapositive symmetry of fuzzy implications
• New family of triangular norms via contrapositive symmetrization of residuated implications
• A characterization of residual implications derived from left-continuous uninorms
• Fuzzy sets

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