Listar Artículos de revista DM - MS Aldizkari artikuluak por autor UPNA "Campión Arrastia, María Jesús"

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 ...

On the structure of acyclic binary relations

Rodríguez Alcantud, José Carlos; Campión Arrastia, María Jesús

; Candeal, Juan Carlos; García Catalán, Olga Raquel

; Induráin Eraso, Esteban

(Springer, 2018) Artículo / Artikulua

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 ...

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) Artículo / Artikulua

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 ...