• Aggregation of individual rankings through fusion functions: criticism and optimality analysis 

      Bustince Sola, Humberto Upna Orcid; Bedregal, Benjamin Upna Orcid; Campión Arrastia, María Jesús Upna Orcid; Silva, Ivanoska da; Fernández Fernández, Francisco Javier Upna Orcid; Induráin Eraso, Esteban Upna Orcid; Raventós Pujol, Armajac Upna Orcid; Santiago, Regivan (IEEE, 2020)   Artículo / Artikulua  OpenAccess
      Throughout this paper, our main idea is to analyze from a theoretical and normative point of view different methods to aggregate individual rankings. To do so, first we introduce the concept of a general mean on an abstract ...
    • 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 ...
    • 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 ...
    • Open questions in utility theory 

      Campión Arrastia, María Jesús Upna Orcid; Induráin Eraso, Esteban Upna Orcid (Springer, 2020)   Capítulo de libro / Liburuen kapitulua  OpenAccess
      Throughout this paper, our main idea is to explore different classical questions arising in Utility Theory, with a particular attention to those that lean on numerical representations of preference orderings. We intend to ...
    • Representation and aggregation of crisp and fuzzy ordered structures: applications to social choice 

      Raventós Pujol, Armajac Upna Orcid (2021)   Tesis doctoral / Doktoretza tesia  OpenAccess
      The present memory is structured as follows: after the Introduction, in the Chapter 2 of preliminaries, we will pay attention to the three areas which sustain the development of this thesis. These are, binary relations, ...
    • 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, ...
    • Strong negations and restricted equivalence functions revisited: an analytical and topological approach 

      Bustince Sola, Humberto Upna Orcid; Campión Arrastia, María Jesús Upna Orcid; Miguel Turullols, Laura de Upna Orcid; Induráin Eraso, Esteban Upna Orcid (Elsevier, 2021)   Artículo / Artikulua  OpenAccess
      Throughout this paper, our main idea is to analyze the concepts of a strong negation and a restricted equivalence function, that appear in a natural way when dealing with theory and applications of fuzzy sets and fuzzy ...
    • 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, ...
    • Why using topological and analytical methods in aggregation of fuzzy preferences? 

      Campión Arrastia, María Jesús Upna Orcid; Induráin Eraso, Esteban Upna Orcid; Raventós Pujol, Armajac Upna Orcid (2020)   Contribución a congreso / Biltzarrerako ekarpena  OpenAccess
      The Arrow’s Impossibility Theorem states that there is no function fusing individual preferences into a social one satisfying certain properties of 'common sense'. On the contrary, in some of the fuzzy extensions of the ...

      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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