dc.contributor
Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura
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Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions
dc.contributor.author
Carmona Cervelló, Neus
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Elorza, Jorge
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Recasens Ferrés, Jorge
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Bragard, Jean
dc.identifier
Carmona, N. [et al.]. On the Induction of New Fuzzy Relations, New Fuzzy Operators and Their Aggregation. "Advances in Intelligent Systems and Computing", 2013, vol. Part VI, núm. 228, p. 295-306.
dc.identifier
https://hdl.handle.net/2117/20905
dc.identifier
10.1007/978-3-642-39165-1
dc.description.abstract
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.
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Peer Reviewed
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Postprint (author’s final draft)
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application/pdf
dc.relation
http://link.springer.com/chapter/10.1007/978-3-642-39165-1_30
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Lògica matemàtica
dc.title
On the Induction of New Fuzzy Relations, New Fuzzy Operators and Their Aggregation
