Elorza Barbajero, JorgeBurillo López, Pedro2017-02-162017-02-1620041134-5632https://academica-e.unavarra.es/handle/2454/23674In 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.9 p.application/pdfengCreative Commons Reconocimiento-NoComercial-SinObraDerivada 3.0 España (CC BY-NC-ND 3.0 ES)Fuzzy consequence operatorsNon-coherent fuzzy consequence operatorsPreorderArtículo / ArtikuluaAcceso abierto / Sarbide irekiainfo:eu-repo/semantics/openAccess