Listar Artículos de revista INARBE - INARBE aldizkari artikuluak por autor "2371"
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An axiomatic approach to finite means
Campión Arrastia, María Jesús ; Candeal, Juan Carlos; García Catalán, Olga Raquel ; Giarlotta, Alfio; Induráin Eraso, Esteban (Elsevier, 2018) Artículo / ArtikuluaIn this paper we analyze the notion of a finite mean from an axiomatic point of view. We discuss several axiomatic alternatives, with the aim of establishing a universal definition reconciling all of them and exploring ... -
Binary relations coming from solutions of functional equations: orderings and fuzzy subsets
Campión Arrastia, María Jesús ; Miguel Turullols, Laura de ; García Catalán, Olga Raquel ; Induráin Eraso, Esteban ; Abrísqueta Usaola, Francisco Javier (World Scientific Publishing Company, 2017) Artículo / ArtikuluaWe analyze the main properties of binary relations, defined on a nonempty set, that arise in a natural way when dealing with real-valued functions that satisfy certain classical functional equations on two variables. We ... -
Geometrical aggregation of finite fuzzy sets
Campión Arrastia, María Jesús ; García Catalán, Olga Raquel ; Induráin Eraso, Esteban ; Lizasoain Iriso, María Inmaculada ; Raventós Pujol, Armajac ; Valero, Óscar (Elsevier, 2018) Artículo / ArtikuluaA fuzzy set on a finite universe can be interpreted as a vector in a unit cube. This gives rise to a huge variety of approaches in order to aggregate finite fuzzy sets or to modify a given one. We analyze several geometrical ... -
On the structure of acyclic binary relations
Rodríguez Alcantud, José Carlos; Campión Arrastia, María Jesús ; Candeal, Juan Carlos; García Catalán, Olga Raquel ; Induráin Eraso, Esteban (Springer, 2018) Artículo / ArtikuluaWe investigate the structure of acyclic binary relations from different points of view. On the one hand, given a nonempty set we study real-valued bivariate maps that satisfy suitable functional equations, in a way that ... -
Weightable quasi-metrics related to fuzzy sets
Campión Arrastia, María Jesús ; García Catalán, Olga Raquel ; Induráin Eraso, Esteban ; Valero, Óscar (Hacettepe University (Turquía), 2018) Artículo / ArtikuluaWe show that the definition of a fuzzy set is directly related to the existence of a weightable quasi-metric on a universe. This relationship is also explored in terms of functional equations coming either from the membership ...