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Elorza Barbajero, Jorge

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Elorza Barbajero

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Jorge

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Matemática e Informática

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0000-0002-5547-1083

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    PublicationOpen Access
    Parametric families of fuzzy consequence operators
    (Universitat Politècnica de Catalunya, 2004) Elorza Barbajero, Jorge; Burillo López, Pedro; Automática y Computación; Automatika eta Konputazioa
    In a previous paper we explored the notion of coherent fuzzy consequence operator. Since we did not know of any example in the literature of non-coherent fuzzy consequence operator, we also showed several families of such operators. It is well-known that the operator induced by a fuzzy preorder through Zadeh’s compositional rule is always a coherent fuzzy consequence operator. It is also known that the relation induced by a fuzzy consequence operator is a fuzzy preorder if such operator is coherent. The aim of this paper is to show a parametric family of non-coherent fuzzy consequence operators which induce a preorder and also a family of non-coherent fuzzy consequence operators which do not induce a preorder. These families of operators can be implemented through very simple algorithms.