Parametric families of fuzzy consequence operators
- Elorza Barbajero, Jorge
- Burillo López, Pedro
ISSN: 1134-5632
Año de publicación: 2004
Volumen: 11
Número: 2
Páginas: 83-91
Tipo: Artículo
Otras publicaciones en: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology
Resumen
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.