Parametric families of fuzzy consequence operators.

Elorza, Javier, and Burillo, Pedro. "Parametric families of fuzzy consequence operators.." Mathware and Soft Computing 11.2-3 (2004): 83-91. <http://eudml.org/doc/39273>.

@article{Elorza2004,
abstract = {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.},
author = {Elorza, Javier, Burillo, Pedro},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Operador consecuencia; fuzzy preorder; non-coherent fuzzy consequence operators},
language = {eng},
number = {2-3},
pages = {83-91},
title = {Parametric families of fuzzy consequence operators.},
url = {http://eudml.org/doc/39273},
volume = {11},
year = {2004},
}

TY - JOUR
AU - Elorza, Javier
AU - Burillo, Pedro
TI - Parametric families of fuzzy consequence operators.
JO - Mathware and Soft Computing
PY - 2004
VL - 11
IS - 2-3
SP - 83
EP - 91
AB - 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.
LA - eng
KW - Lógica difusa; Operador consecuencia; fuzzy preorder; non-coherent fuzzy consequence operators
UR - http://eudml.org/doc/39273
ER -