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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 ...
Assigning numerical scores to linguistic expressions
(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 ...
Geometrical aggregation of finite fuzzy sets
(Elsevier, 2018) info:eu-repo/semantics/article,
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 ...
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 ...