Now showing items 1-4 of 4

    • An axiomatic approach to finite means 

      Campión Arrastia, María Jesús Upna Orcid; Candeal, Juan Carlos; García Catalán, Olga Raquel Upna; Giarlotta, Alfio; Induráin Eraso, Esteban Upna Orcid (Elsevier, 2018)   Artículo / Artikulua  OpenAccess
      In 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 Upna Orcid; Miguel Turullols, Laura de Upna Orcid; García Catalán, Olga Raquel Upna; Induráin Eraso, Esteban Upna Orcid; Abrísqueta Usaola, Francisco Javier Upna (World Scientific Publishing Company, 2017)   Artículo / Artikulua  OpenAccess
      We 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 Upna Orcid; García Catalán, Olga Raquel Upna; Induráin Eraso, Esteban Upna Orcid; Lizasoain Iriso, María Inmaculada Upna Orcid; Raventós Pujol, Armajac Upna Orcid; Valero, Óscar (Elsevier, 2018)   Artículo / Artikulua  OpenAccess
      A 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 ...
    • Weightable quasi-metrics related to fuzzy sets 

      Campión Arrastia, María Jesús Upna Orcid; García Catalán, Olga Raquel Upna; Induráin Eraso, Esteban Upna Orcid; Valero, Óscar (Hacettepe University (Turquía), 2018)   Artículo / Artikulua  OpenAccess
      We 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 ...