- Hacettepe Journal of Mathematics and Statistics
- Vol: 47 Issue: 5
- Weightable quasi-metrics related to fuzzy sets
Weightable quasi-metrics related to fuzzy sets
Authors : M. J. Campión, R. G. Catalán, E. Induráin, O. Valero
Pages : 1184-1195
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Publication Date : 2018-10-16
Article Type : Research
Abstract :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 function of a fuzzy set or from the disymmetry function of a quasi-metric.Keywords : Fuzzy sets, weightable quasi-metrics, functional equations, representable total preorders