ON THE PROPERTIES OF A GENERALIZED CLASS OF T-NORMS IN INTERVAL-VALUED FUZZY LOGICS

DOI10.1142/S1793005706000361zbMath1102.03031MaRDI QIDQ5291410

Chris Cornelis, Etienne E. Kerre, Glad Deschrijver, Bart Van Gasse

Publication date: 10 May 2006

Published in: New Mathematics and Natural Computation (Search for Journal in Brave)

zbMATH Keywords

interval-valued fuzzy setstriangular normsresiduated latticesformal fuzzy logic

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52)

Related Items (10)

Triangle algebras: A formal logic approach to interval-valued residuated lattices ⋮ Arithmetic operators in interval-valued fuzzy set theory ⋮ Some Instances of Graded Consequence in the Context of Interval-Valued Semantics ⋮ Interval Additive Generators of Interval T-Norms ⋮ The standard completeness of interval-valued monoidal t-norm based logic ⋮ Interval MV-algebras and generalizations. ⋮ A characterization of interval-valued residuated lattices ⋮ On interval fuzzy S-implications ⋮ Filters of residuated lattices and triangle algebras ⋮ The pseudo-linear semantics of interval-valued fuzzy logics

Cites Work

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• Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
• Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application
• On the scope of some formulas defining additive connectives in fuzzy logics
• L-fuzzy sets
• CLASSES OF INTUITIONISTIC FUZZY T-NORMS SATISFYING THE RESIDUATION PRINCIPLE

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