| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4657576 | Topology | 2009 | 7 Pages |
Abstract
We introduce a fuzzy ultrametric on the set of probability measures with compact support defined on a fuzzy metric space. The construction is a counterpart, in the realm of fuzzy ultrametric spaces, of the construction due to Vink and Rutten of an ultrametric on the set of probability measures with compact supports on an ultrametric 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Aleksandr Savchenko, Mykhailo Zarichnyi,