• Assigning numerical scores to linguistic expressions 

      Campión Arrastia, María Jesús Upna Orcid; Falcó Díaz de Cerio, Edurne Upna; García Lapresta, José; Induráin Eraso, Esteban Upna Orcid (MDPI, 2017)   Artículo / Artikulua  OpenAccess
      In this paper, we study different methods of scoring linguistic expressions defined on a finite set, in the search for a linear order that ranks all those possible expressions. Among them, particular attention is paid to ...
    • 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 ...
    • Decomposition and arrow-like aggregation of fuzzy preferences 

      Raventós Pujol, Armajac Upna Orcid; Campión Arrastia, María Jesús Upna Orcid; Induráin Eraso, Esteban Upna Orcid (MDPI, 2020)   Artículo / Artikulua  OpenAccess
      We analyze the concept of a fuzzy preference on a set of alternatives, and how it can be decomposed in a triplet of new fuzzy binary relations that represent strict preference, weak preference and indifference. In this ...
    • 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 ...
    • Multidistances and inequality measures on abstract sets: an axiomatic approach 

      Campión Arrastia, María Jesús Upna Orcid; Díaz, Irene; Induráin Eraso, Esteban Upna Orcid; Martín, Javier; Mayor, Gaspar; Montes Rodríguez, Susana; Raventós Pujol, Armajac Upna Orcid (Elsevier, 2021)   Artículo / Artikulua  OpenAccess
      Starting from the notion of a multidistance, we formalize, through a suitable system of axioms, the concept of an inequality measure defined on a nonempty set with no additional structure implemented a priori. Among ...
    • On the structure of acyclic binary relations 

      Rodríguez Alcantud, José Carlos; Campión Arrastia, María Jesús Upna Orcid; Candeal, Juan Carlos; García Catalán, Olga Raquel Upna; Induráin Eraso, Esteban Upna Orcid (Springer, 2018)   Artículo / Artikulua  OpenAccess
      We 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 ...
    • Scores of hesitant fuzzy elements revisited: "Was sind und was sollen" 

      Alcantud, José Carlos R.; Campión Arrastia, María Jesús Upna Orcid; Induráin Eraso, Esteban Upna Orcid; Munárriz Iriarte, Ana (Elsevier, 2023)   Artículo / Artikulua
      This paper revolves around the notion of score for hesitant fuzzy elements, the constituent parts of hesitant fuzzy sets. Scores allow us to reduce the level of uncertainty of hesitant fuzzy sets to classical fuzzy sets, ...
    • A survey on the mathematical foundations of axiomatic entropy: representability and orderings 

      Campión Arrastia, María Jesús Upna Orcid; Gómez Polo, Cristina Upna Orcid; Induráin Eraso, Esteban Upna Orcid; Raventós Pujol, Armajac Upna Orcid (MDPI, 2018)   Artículo / Artikulua  OpenAccess
      Different abstract versions of entropy, encountered in science, are interpreted in the light of numerical representations of several ordered structures, as total-preorders, interval-orders and semiorders. Intransitivities, ...
    • 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 ...

      El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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