On the relation between fuzzy closing morphological operators, fuzzy consequence operators induced by fuzzy preorders and fuzzy closure and co-closure systems
Fecha de publicación: 
2013
Otros identificadores : 
0165-0114
Cita: 
Elorza, J.; Fuentes-González, R.; Bragar, J.; Burillo, P. (2013) ""On the relation between fuzzy closing morphological operators, fuzzy consequence operators induced by fuzzy preorders and fuzzy closure and co-closure systems"" Fuzzy sets and systems, 218, pp.73-89
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.

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Fichero: 
Elorza-Bragard fuzzy.pdf
Descripción: 
Tamaño: 
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Formato: 
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