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Implication in fuzzy logic

par Smets, Philippe ;Magrez, Paul
Référence International journal of approximate reasoning, 1, 4, page (327-347)
Publication Publié, 1987-10

Article révisé par les pairs

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Résumé :

Intermediate truth values and the order relation "as true as" are interpreted. The material implication A → B quantifies the degree by which "B is at least as true as A." Axioms for the → operator lead to a representation of → by the pseudo-Lukasiewicz model. A canonical scale for the truth value of a fuzzy proposition is selected such that the → operator is the Lukasiewicz operator and the negation is the classical 1-. operator. The mathematical structure of some conjunction and disjunction operators related to → are derived. © 1987.