Universitat Politècnica de Catalunya
Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura
Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions
2013
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.
Peer Reviewed
Postprint (author’s final draft)
Article
Anglès
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica; Fuzzy logic; Lògica difusa
Springer
http://link.springer.com/chapter/10.1007/978-3-642-39165-1_30
Open Access
E-prints [73140]
