Fuzzy implication functions based on powers of continuous t-norms

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Title:	Fuzzy implication functions based on powers of continuous t-norms
Author:	Massanet, Sebastià; Recasens Ferrés, Jorge; Torrens, Joan
Other authors:	Universitat Politècnica de Catalunya. Departament de Tecnologia de l'Arquitectura
Abstract:	The modification (relaxation or intensification) of the antecedent or the consequent in a fuzzy “If, Then” conditional is an important asset for an expert in order to agree with it. The usual method to modify fuzzy propositions is the use of Zadeh's quantifiers based on powers of t-norms. However, the invariance of the truth value of the fuzzy conditional would be a desirable property when both the antecedent and the consequent are modified using the same quantifier. In this paper, a novel family of fuzzy implication functions based on powers of continuous t-norms which ensure the aforementioned property is presented. Other important additional properties are analyzed and from this study, it is proved that they do not intersect the most well-known classes of fuzzy implication functions.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica -Fuzzy logic -Fuzzy implication function -Continuous t-norm -Powers of t-norms -Fuzzy negation -Lògica difusa
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Document type:	Article - Submitted version Article
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