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Fuzzy ultrametrics on the set of probability measures. (English) Zbl 1191.54008

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.

MSC:

54A40 Fuzzy topology
60B05 Probability measures on topological spaces
54E70 Probabilistic metric spaces
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