Detalle Publicación


On the induction of new fuzzy relations, new fuzzy operators and their aggregation

Libro: Aggregation functions in theory and in practise
Autores: Carmona, N.; Elorza Barbajero, Jorge; Recasens, J.; Bragard Monier, Jean
Lugar de Edición: Berlín
Editorial: Springer
Fecha de publicación: 2013
Página Inicial - Final: 295 - 306
ISBN: 978-3-642-39164-4
Resumen: In this paper we generate fuzzy relations and fuzzy operators using different kind of generators and we study the relationship between them. Firstly, we introduce a new fuzzy preorder induced by a fuzzy operator. We generalize this preorder to a fuzzy relation generated by two fuzzy operators and we analyze its properties. Secondly, we introduce and explore two ways of inducing a fuzzy operator, one from a fuzzy operator and a fuzzy relation and the other one from two fuzzy operators. The first one is an extension of the well-known fuzzy operator induced by a fuzzy relation through Zadeh¿s compositional rule. Finally, we aggregate these operators using the quasi-arithmetic mean associated to a continuous Archimedean t-norm. The aim is to compare the operator induced by the quasi-arithmetic mean of the generators with the quasi-arithmetic mean of the generated operators.