• 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 ...
    • 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 ...
    • 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, ...

      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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