Browsing by UPNA Author "Campión Arrastia, María Jesús"

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    • Assigning numerical scores to linguistic expressions 

      Campión Arrastia, María Jesús Upna; Falcó Díaz de Cerio, Edurne Upna; García Lapresta, José; Induráin Eraso, Esteban Upna (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; Candeal, Juan Carlos; García Catalán, Olga Raquel Upna; Giarlotta, Alfio; Induráin Eraso, Esteban Upna (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; Miguel Turullols, Laura de Upna; García Catalán, Olga Raquel Upna; Induráin Eraso, Esteban Upna; 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; Campión Arrastia, María Jesús Upna; Induráin Eraso, Esteban Upna (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; García Catalán, Olga Raquel Upna; Induráin Eraso, Esteban Upna; Lizasoain Iriso, María Inmaculada Upna; Raventós Pujol, Armajac Upna; 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 ...

    • New trends on the numerical representability of semiordered structures 

      Abrísqueta Usaola, Francisco Javier Upna; Campión Arrastia, María Jesús Upna; García Catalán, Olga Raquel Upna; Miguel Velasco, Juan Ramón de Upna; Estevan Muguerza, Asier Upna; Induráin Eraso, Esteban Upna; Zudaire Sarobe, Margarita Upna; Agud, L.; Candeal, Juan Carlos; Díaz, S.; Martinetti, D.; Montes, S.; Gutiérrez García, J. (EUSFLAT, 2012)   Artículo / Artikulua  OpenAccess
      We introduce a survey, including the historical background, on di erent techniques that have recently been issued in the search for a characterization of the representability of semiordered structures, in the sense of ...

    • Pointwise aggregation of maps: its structural functional equation and some applications to social choice theory 

      Miguel Turullols, Laura de Upna; Campión Arrastia, María Jesús Upna; Candeal, Juan Carlos; Induráin Eraso, Esteban Upna; Paternain Dallo, Daniel Upna (Elsevier, 2017)   Artículo / Artikulua  OpenAccess
      We study a structural functional equation that is directly related to the pointwise aggregation of a finite number of maps from a given nonempty set into another. First we establish links between pointwise aggregation and ...

    • Semicontinuous planar total preorders on non-separable metric spaces 

      Campión Arrastia, María Jesús Upna; Candeal, Juan Carlos; Induráin Eraso, Esteban Upna (The Korean Mathematical Society, 2009)   Artículo / Artikulua  OpenAccess
      We prove that every non-separable connected metric space can be endowed with a total preorder that is order-isomorphic to a nonrepresentable subset of the lexicographic plane and semicontinuous with respect to the metric topology.

    • A survey on the mathematical foundations of axiomatic entropy: representability and orderings 

      Campión Arrastia, María Jesús Upna; Gómez Polo, Cristina; Induráin Eraso, Esteban Upna; Raventós Pujol, Armajac Upna (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; García Catalán, Olga Raquel Upna; Induráin Eraso, Esteban Upna; 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 ...

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