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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 ...
On fixed point theory in partially ordered sets and an application to asymptotic complexity of algorithms
(Springer, 2019)
info:eu-repo/semantics/article,
The celebrated Kleene fixed point theorem is crucial in the mathematical modelling of recursive specifications in Denotational Semantics. In this paper we discuss whether the hypothesis of the aforementioned result can be ...