Burillo López, PedroFrago Paños, Noé NatalioFuentes González, Ramón2017-02-162017-02-1620031134-5632https://academica-e.unavarra.es/handle/2454/23670First 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.16 p.application/pdfengCreative Commons Reconocimiento-NoComercial-SinObraDerivada 3.0 España (CC BY-NC-ND 3.0 ES)Implication operatorsInclusion gradeErosion and dilationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess