Campión Arrastia, María JesúsGarcía Catalán, Olga RaquelInduráin Eraso, EstebanValero, Óscar2019-09-102019-09-1020181303-501010.15672/HJMS.2017.495https://academica-e.unavarra.es/handle/2454/34778We 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.12 p.application/pdfeng© 2018, Hacettepe University. All rights reserved.Functional equationsFuzzy setsRepresentable total preordersWeightable quasi-metricsWeightable quasi-metrics related to fuzzy setsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessAcceso abierto / Sarbide irekia