Fuzzy ultrametrics on the set of probability measures

被引：16

作者：

Savchenko, Aleksandr ^{[1
]}

Zarichnyi, Mykhailo ^{[2
]}

机构：

[1] Kherson Agr Univ, Kherson, Ukraine

[2] Lviv Natl Univ, UA-79000 Lvov, Ukraine

来源：

TOPOLOGY | 2009年 / 48卷 / 2-4期

关键词：

Fuzzy ultrametric; Fuzzy metric space; Set of probability measures with compact supports; METRIC-SPACES;

D O I：

10.1016/j.top.2009.11.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：130 / 136

页数：7

共 14 条

[1] Bisimulation for probabilistic transition systems: a coalgebraic approach [J].