(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.
(World Scientific, 2017) Alcalde, Cristina; Burusco Juandeaburre, Ana; Bustince Sola, Humberto; Fuentes González, Ramón; Sesma Sara, Mikel; Automatika eta Konputazioa; Institute of Smart Cities - ISC; Automática y Computación
In this paper we study the relation between L-fuzzy morphology and L-fuzzy concepts
over complete lattices. In particular, we show how the erosion and dilation operators of
the former can be understood in terms of the derivation operators of the latter, even
when the set of objects is different from the set of attributes.
