Browsing by UPNA Author "Campión Arrastia, María Jesús"
Now showing items 1-8 of 8
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Assigning numerical scores to linguistic expressions
Campión Arrastia, María Jesús
; Falcó Díaz de Cerio, Edurne ; García Lapresta, José; Induráin Eraso, Esteban (MDPI, 2017)
Artículo / Artikulua 
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 ... -
Binary relations coming from solutions of functional equations: orderings and fuzzy subsets
Campión Arrastia, María Jesús; Miguel Turullols, Laura de ; García Catalán, Olga Raquel ; Induráin Eraso, Esteban ; Abrísqueta Usaola, Francisco Javier (World Scientific Publishing Company, 2017)
Artículo / Artikulua
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; Campión Arrastia, María Jesús ; Induráin Eraso, Esteban (MDPI, 2020)
Artículo / Artikulua
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; García Catalán, Olga Raquel ; Induráin Eraso, Esteban ; Lizasoain Iriso, María Inmaculada ; Raventós Pujol, Armajac ; Valero, Óscar (Elsevier, 2018)
Artículo / Artikulua
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; Campión Arrastia, María Jesús ; García Catalán, Olga Raquel ; Miguel Velasco, Juan Ramón de ; Estevan Muguerza, Asier ; Induráin Eraso, Esteban ; Zudaire Sarobe, Margarita ; Agud, L.; Candeal, Juan Carlos; Díaz, S.; Martinetti, D.; Montes, S.; Gutiérrez García, J. (EUSFLAT, 2012)
Artículo / Artikulua
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; Campión Arrastia, María Jesús ; Candeal, Juan Carlos; Induráin Eraso, Esteban ; Paternain Dallo, Daniel (Elsevier, 2017)
Artículo / Artikulua
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; Candeal, Juan Carlos; Induráin Eraso, Esteban (The Korean Mathematical Society, 2009)
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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. -
Weightable quasi-metrics related to fuzzy sets
Campión Arrastia, María Jesús; García Catalán, Olga Raquel ; Induráin Eraso, Esteban ; Valero, Óscar (Hacettepe University (Turquía), 2018)
Artículo / Artikulua
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 ...
