(Universitat Politècnica de Catalunya, 1994) Núñez, A.; Burillo López, Pedro; Fuentes González, Ramón; González, L.; Automática y Computación; Automatika eta Konputazioa
The 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.
(Universitat Politècnica de Catalunya, 1998) Burillo López, Pedro; Fuentes González, Ramón; González, L.; Automática y Computación; Automatika eta Konputazioa
The 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.
(Universitat Politècnica de Catalunya, 2000) Burillo López, Pedro; Fuentes González, Ramón; González, L.; Marín Martínez, Ángel; Automática y Computación; Automatika eta Konputazioa
The class of contrast intensification operators is formally defined and its lattice structure studied. The effect of these operators in the referential classification derived from special kinds of fuzzy relations is also determined. Results and examples are presented providing contrast intensification operators which keep quasi-uniformity structures generated by fuzzy relations while diminishing the fuzziness or the entropy of the relations.
