Fuzzy Prokhorov metric on the set of probability measures

Authors:
Dušan Repovš;Aleksandr Savchenko;Mykhailo Zarichnyi
Affiliations:
Faculty of Mathematics, Physics and Mechanics, University of Ljubljana, P.O.B. 2964, 1001 Ljubljana, Slovenia and Faculty of Education, University of Ljubljana, P.O.B. 2964, 1001 Ljubljana, Sloven ...;Kherson Agrarian University, Kherson, Ukraine;Lviv National University, 79000 Lviv, Ukraine and Institute of Mathematics, Physics and Mechanics, P.O.B. 2964, 1001 Ljubljana, Slovenia
Venue:
Fuzzy Sets and Systems
Year:
2011

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Abstract

We introduce a fuzzy metric on the set of probability measures on a fuzzy metric space. The construction is an analogue, in the realm of fuzzy metric spaces, of the Prokhorov metric on the set of probability measures on compact metric spaces.