Detalle Publicación


Some results about fuzzy consequence operators and fuzzy preorders using conjunctors

Libro: Aggregation functions in theory and in practice
Editorial: Ed. Springer
Fecha de publicación: 2018
Página Inicial - Final: 253 - 262
ISBN: 978-3-319-59305-0
Resumen: The purpose of this paper is to study fuzzy operators induced by fuzzy relations and fuzzy relations induced by fuzzy operators. Many results are obtained about the relationship between *-preorders and fuzzy consequences operators for a fixed t-norm *. We analyse these properties by considering a semi-copula (generalization of t-norm concept) instead of a t-norm. Moreover, we show that the conditions imposed cannot be relaxed. We have been able to prove some important results about the relationships between fuzzy relations and fuzzy operators in this more general context.