SMETS-MAGREZ AXIOMS FOR R-IMPLICATORS IN INTERVAL-VALUED AND INTUITIONISTIC FUZZY SET THEORY

DOI10.1142/S0218488505003576zbMath1122.03047MaRDI QIDQ5691629

Glad Deschrijver, Etienne E. Kerre

Publication date: 27 September 2005

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

zbMATH Keywords

intuitionistic fuzzy sett-norminterval-valued fuzzy setresiduation principle, Smets-Magrez axioms

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (5)

Arithmetic operators in interval-valued fuzzy set theory ⋮ Implicators based on binary aggregation operators in interval-valued fuzzy set theory ⋮ Robustness of \(f\)- and \(g\)-generated fuzzy (co)implications: the Yager's (co)implication case study ⋮ An overview of the fuzzy axiomatic systems and characterizations proposed at Ghent university ⋮ Aggregating fuzzy implications

Cites Work

• A method of inference in approximate reasoning based on interval-valued fuzzy sets
• Implication in fuzzy logic
• On the relationship between some extensions of fuzzy set theory
• Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application
• Contrapositive symmetry of fuzzy implications
• L-fuzzy sets
• CLASSES OF INTUITIONISTIC FUZZY T-NORMS SATISFYING THE RESIDUATION PRINCIPLE

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