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2018 | OriginalPaper | Buchkapitel

Some Results About Fuzzy Consequence Operators and Fuzzy Preorders Using Conjunctors

verfasst von : Carlos Bejines, María Jesús Chasco, Jorge Elorza, Susana Montes

Erschienen in: Aggregation Functions in Theory and in Practice

Verlag: Springer International Publishing

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Abstract

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.

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Metadaten
Titel
Some Results About Fuzzy Consequence Operators and Fuzzy Preorders Using Conjunctors
verfasst von
Carlos Bejines
María Jesús Chasco
Jorge Elorza
Susana Montes
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-59306-7_26

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