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Pointwise aggregation of maps: its structural functional equation and some applications to social choice theory
(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 ...
Weightable quasi-metrics related to fuzzy sets
(Hacettepe University (Turquía), 2018)
info:eu-repo/semantics/article,
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 ...
On the structure of acyclic binary relations
(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 ...