Detalle Publicación

CAPÍTULO DE LIBRO
On the relation between fuzzy preorders, fuzzy closing morphological operators and fuzzy consequence operators
Libro: Actas del XV Congreso Español sobre Tecnologías y Lógica Fuzzy
Autores: Elorza Barbajero, Jorge; Fuentes-González, R.; Bragard Monier, Jean; Burillo, P.
Lugar de Edición: HUELVA
Editorial: Universidad de Huelva 
Fecha de publicación: 2010
Página Inicial - Final: 133 - 138
ISBN: 978-84-92944-02-6
Resumen: In a previous paper [10] we explored the no- tion of coherent fuzzy consequence operator. It is well-known that the operator induced by a fuzzy preorder through Zadeh's compo- sitional rule is always a coherent fuzzy con- sequence operator. It is also known that the relation induced by a fuzzy consequence operator is a fuzzy preorder if such opera- tor is coherent [7]. Fuzzy closing operators of mathematical morphology can be consid- ered as fuzzy consequence operators. In [12] we showed that they are coherent operators. The aim of this paper is to analyze the rela- tions between both classes of operators and the class of all fuzzy preorders in order to translate well know properties from Approxi- mate Reasoning to the one of Image Process- ing.