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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 ...
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, ...
An axiomatic approach to finite means
(Elsevier, 2018)
info:eu-repo/semantics/article,
In this paper we analyze the notion of a finite mean from an axiomatic point of view. We discuss several axiomatic alternatives, with the aim of establishing a universal definition reconciling all of them and exploring ...