Detalle Publicación

ARTÍCULO
On the relation between fuzzy closing morphological operators, fuzzy consequence operators induced by fuzzy preorders and fuzzy closure and co-closure systems
Autores: Elorza Barbajero, Jorge; Fuentes-González, R.; Bragard Monier, Jean; Burillo, P.
Título de la revista: FUZZY SETS AND SYSTEMS
ISSN: 0165-0114
Volumen: 218
Páginas: 73 - 89
Fecha de publicación: 2013
Resumen:
In a previous paper, Elorza and Burillo explored the coherence property in fuzzy consequence operators. In this paper we show that fuzzy closing operators of mathematical morphology are always coherent operators. We also show that the coherence property is the key to link the four following families: fuzzy closing morphological operators, fuzzy consequence operators, fuzzy preorders and fuzzy closure and co-closure systems. This will allow to translate important well-known properties from the field of approximate reasoning to the field of image processing.