First of all, in this paper we propose a family of fuzzy implication operators, which the generalised Lukasiewicz's one, and to analyse the impacts of Smets and Magrez properties on these operators. The result of this approach will be a characterisation of a proposed family of inclusion grade operators (in Bandler and Kohout's manner) that satisfies the axioms of Divyendu and Dogherty. Second, we propose a method to define fuzzy morphological operators (erosions and dilations). A family of fuzzy implication operators and the inclusion grade are the basis for this method.
@article{urn:eudml:doc:39252,
title = {Fuzzy morphological operators in image processing.},
journal = {Mathware and Soft Computing},
volume = {10},
year = {2003},
pages = {85-100},
zbl = {1086.68644},
mrnumber = {MR2052476},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39252}
}
Burillo López, Pedro J.; Frago Paños, Noé; Fuentes González, Ramón. Fuzzy morphological operators in image processing.. Mathware and Soft Computing, Tome 10 (2003) pp. 85-100. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39252/