(Universitat Politècnica de Catalunya, 2003) Burillo López, Pedro; Frago Paños, Noé Natalio; Fuentes González, Ramón; Automática y Computación; Automatika eta Konputazioa
First of all, in this paper we propose a family of fuzzy implication operators,
which the generalised Luckasiewicz´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.
