Fuentes González, Ramón
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Fuentes González
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Ramón
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Automática y Computación
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Publication Open Access On completeness and direction in fuzzy relational systems(Universitat Politècnica de Catalunya, 1998) Burillo López, Pedro; Fuentes González, Ramón; González, L.; Automática y Computación; Automatika eta KonputazioaThe concepts of bounded subset, complete subset and directed subset, which are well known in the context of partially ordered sets (X, ≤), are extended in order to become applicable, with coherence, in fuzzy relational systems (X, R). The properties of these generalized structures are analyzed and operative examples of them are presented.Publication Open Access Overtaker binary relations on complete completely distributive lattices related to the level sets of the L-fuzzy sets(Universitat Politècnica de Catalunya, 1994) Núñez, A.; Burillo López, Pedro; Fuentes González, Ramón; González, L.; Automática y Computación; Automatika eta KonputazioaThe class of overtaker binary relations associated with the order in a lattice is defined and used to generalize the representations of L-fuzzy sets by means of level sets or fuzzy points.Publication Open Access Concept lattices associated with interval-valued L-fuzzy contexts(Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 1995) Burusco Juandeaburre, Ana; Fuentes González, Ramón; Automática y Computación; Automatika eta KonputazioaIn 1882 Wille published the paper titled Restructuring lattice theory: an approach based on hierarchies of concepts, where he developed a new theory called formal concept theory. In that paper he analyzes 0/1 relations between the object and attribute sets. Applying the L-fuzzy set theory to Wille’s results, we have developed the L-fuzzy concept theory dealing with L-fuzzy relations inside 0/1 relations. The final purpose of our theory is knowledge acquisition and classification. Taking as departure point the L-fuzzy concept theory, in this paper we study contexts defined by interval-valued L-fuzzy relations between the object and attribute sets. We give a new definition of L-fuzzy concept valid for this case and analyze the structure of the L-fuzzy concept set. We apply these results to a medical example.