## 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
Full Text: