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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 ...
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 ...