Now showing items 1-20 of 23

    • 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 ...
    • 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 ...
    • Comparison meaningful operators and ordinal invariant preferences 

      Candeal, Juan Carlos; Induráin Eraso, Esteban Upna Orcid (Elsevier, 2015)   Artículo / Artikulua  OpenAccess
      The existence of a continuous and order-preserving real-valued function, for the class of continuous and ordinal invariant total preorders, defined on the Banach space of all bounded real-valued functions, which are in ...
    • Computing with uncertainty truth degrees: a convolution-based degrees 

      Miguel Turullols, Laura de Upna Orcid (2017)   Tesis doctoral / Doktoretza tesia  OpenAccess
      La teoría de los conjuntos difusos puede contemplarse como un conjunto de herramientas matemáticas excepcionalmente adaptadas para trabajar con información incompleta, falta de nitidez e incertidumbre no aleatoria. De ...
    • Construction of admissible linear orders for interval-valued Atanassov intuitionistic fuzzy sets with an application to decision making 

      Miguel Turullols, Laura de Upna Orcid; Bustince Sola, Humberto Upna Orcid; Fernández Fernández, Francisco Javier Upna Orcid; Induráin Eraso, Esteban Upna Orcid; Kolesárová, Anna; Mesiar, Radko (Elsevier, 2015)   Artículo / Artikulua  OpenAccess
      In this work we introduce a method for constructing linear orders between pairs of intervals by using aggregation functions. We adapt this method to the case of interval-valued Atanassov intuitionistic fuzzy sets and 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 ...
    • New trends on the numerical representability of semiordered structures 

      Abrísqueta Usaola, Francisco Javier Upna; Campión Arrastia, María Jesús Upna Orcid; García Catalán, Olga Raquel Upna; Miguel Velasco, Juan Ramón de Upna Orcid; Estevan Muguerza, Asier Upna Orcid; Induráin Eraso, Esteban Upna Orcid; Zudaire Sarobe, Margarita Upna; Agud, L.; Candeal, Juan Carlos; Díaz, S.; Martinetti, D.; Montes Rodríguez, Susana; 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 ...
    • 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 ...
    • 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 ...
    • Un poco de orden: donde se cuentan mil zarandajas, tan impertinentes como necesarias, para el entendimiento desta grande historia 

      Induráin Eraso, Esteban Upna Orcid (2021)   Otros / Bestelakoak  OpenAccess
      Esta lección trata sobre el orden en matemáticas.
    • Pointwise aggregation of maps: its structural functional equation and some applications to social choice theory 

      Miguel Turullols, Laura de Upna Orcid; Campión Arrastia, María Jesús Upna Orcid; Candeal, Juan Carlos; Induráin Eraso, Esteban Upna Orcid; Paternain Dallo, Daniel Upna Orcid (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 ...
    • Representaciones numéricas de semigrupos totalmente ordenados 

      Miguel Velasco, Juan Ramón de Upna Orcid (Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa, 1995)   Tesis doctoral / Doktoretza tesia  OpenAccess
      En esta memoria se estudia la posibilidad de obtener representaciones numéricas de semigrupos totalmente ordenados. En este caso, el objetivo es respetar tanto la estructura de orden, como la algebraica adicional. Denominaremos ...
    • 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, ...
    • Semicontinuous planar total preorders on non-separable metric spaces 

      Campión Arrastia, María Jesús Upna Orcid; Candeal, Juan Carlos; Induráin Eraso, Esteban Upna Orcid (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.
    • 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 ...

      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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