A copula-based family of fuzzy implication operators

Authors:
Ali Dolati;Juan FernáNdez SáNchez;Manuel ÚBeda-Flores
Affiliations:
Department of Statistics, College of Mathematics, Yazd University, P.O. Box, 89195-741 Yazd, Iran;Grupo de Investigación de Análisis Matemático, Universidad de Almería, Carretera de Sacramento s/n, 04120 Almería, Spain;Departamento de Estadística y Matemática Aplicada, Universidad de Almería, Carretera de Sacramento s/n, 04120 Almería, Spain
Venue:
Fuzzy Sets and Systems
Year:
2013

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Abstract

A new family of fuzzy implication operators is introduced. The proposed class is based on the conditional version of a copula function. Properties of these operators are studied and several examples illustrate our results.