• 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 ...
    • Fuzzy Arrovian theorems when preferences are strongly-connected 

      Raventós Pujol, Armajac Upna Orcid (University of Sistan and Baluchestan, 2022)   Artículo / Artikulua  OpenAccess
      In this paper we study the aggregation of fuzzy preferences on non-necessarily finite societies. We characterize in terms of possibility and impossibility a family of models of strongly-connected preferences in which the ...
    • 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 ...
    • 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, ...
    • Topologies for semicontinuous Richter–Peleg multi-utilities 

      Bosi, Gianni; Estevan Muguerza, Asier Upna Orcid; Raventós Pujol, Armajac Upna Orcid (Springer, 2020)   Artículo / Artikulua  OpenAccess
      The present paper gives a topological solution to representability problems related to multi-utility, in the field of Decision Theory. Necessary and sufficient topologies for the existence of a semicontinuous and finite ...

      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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