Savchenko, Oleksandr; Zarichnyi, Mykhailo Fuzzy ultrametrics on the set of probability measures. (English) Zbl 1191.54008 Topology 48, No. 2-4, 130-136 (2009). The authors define a fuzzy ultrametric on the set of probability measures with compact support defined on a fuzzy metric space.It is proved that the set of probability measures with finite supports is dense in the natural topology generated by the defined fuzzy ultrametric. Reviewer: Claudi Alsina (Barcelona) Cited in 13 Documents MSC: 54A40 Fuzzy topology 60B05 Probability measures on topological spaces 54E70 Probabilistic metric spaces Keywords:fuzzy ultrametric; set of probability measures with compact supports PDFBibTeX XMLCite \textit{O. Savchenko} and \textit{M. Zarichnyi}, Topology 48, No. 2--4, 130--136 (2009; Zbl 1191.54008) Full Text: DOI