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Título:	Some characterizations of T-power based implications
Autor/a:	Massanet, Sebastià; Recasens Ferrés, Jorge; Torrens Serra, Joan
Otros autores:	Universitat Politècnica de Catalunya. Departament de Tecnologia de l'Arquitectura
Abstract:	Recently, the so-called family of T-power based implications was introduced. These operators involve the use of Zadeh’s quantifiers based on powers of t-norms in its definition. Due to the fact that Zadeh’s quantifiers constitute the usual method to modify fuzzy propositions, this family of fuzzy implication functions satisfies an important property in approximate reasoning such as the invariance of the truth value of the fuzzy conditional when both the antecedent and the consequent are modified using the same quantifier. In this paper, an in-depth analysis of this property is performed by characterizing all binary functions satisfying it. From this general result, a fully characterization of the family of T-power based implications is presented. Furthermore, a second characterization is also proved in which surprisingly the invariance property is not explicitly used.
Abstract:	Peer Reviewed
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica -Fuzzy logic -Fuzzy implication function -T-power based implications -Invariance property -continuous t-norm -powers of t-norms -Lògica difusa
Derechos:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	Artículo - Versión presentada Artículo
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