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Comparison meaningful operators and ordinal invariant preferences
(Elsevier, 2015)
Artículo / Artikulua,
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 ...
Construction of admissible linear orders for interval-valued Atanassov intuitionistic fuzzy sets with an application to decision making
(Elsevier, 2015)
Artículo / Artikulua,
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 ...
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 ...
Binary relations coming from solutions of functional equations: orderings and fuzzy subsets
(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 ...
Semicontinuous planar total preorders on non-separable metric spaces
(The Korean Mathematical Society, 2009)
info:eu-repo/semantics/article,
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
(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 ...