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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 ...
Multidistances and inequality measures on abstract sets: an axiomatic approach
(Elsevier, 2021)
Artículo / Artikulua,
Starting from the notion of a multidistance, we formalize, through a suitable system of axioms, the concept of an inequality measure defined on a nonempty set with no additional structure implemented a priori. Among ...
Decomposition and arrow-like aggregation of fuzzy preferences
(MDPI, 2020)
info:eu-repo/semantics/article,
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 ...
A survey on the mathematical foundations of axiomatic entropy: representability and orderings
(MDPI, 2018)
info:eu-repo/semantics/article,
Different abstract versions of entropy, encountered in science, are interpreted in the light of numerical representations of several ordered structures, as total-preorders, interval-orders and semiorders. Intransitivities, ...