Parametric families of fuzzy consequence operators
Fecha
2004Versión
Acceso abierto / Sarbide irekia
Tipo
Artículo / Artikulua
Versión
Versión publicada / Argitaratu den bertsioa
Impacto
|
nodoi-noplumx
|
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 kno ...
[++]
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. [--]
Materias
Fuzzy consequence operators,
Non-coherent fuzzy consequence operators,
Preorder
Editor
Universitat Politècnica de Catalunya
Publicado en
Mathware & Soft Computing, 11 (2004), 83-91
Departamento
Universidad Pública de Navarra. Departamento de Automática y Computación /
Nafarroako Unibertsitate Publikoa. Automatika eta Konputazioa Saila