FUZZY METRIZATION OF THE SPACES OF IDEMPOTENT MEASURES
No Thumbnail Available
Files
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In idempotent mathematics, the idempotent measures (Maslov measures) are counterparts of the probability measures. We provide a fuzzy metrization of the set of idempotent measures on fuzzy metric spaces. We prove that this fuzzy metrization determines a monad in the category of fuzzy metric spaces and non-expanding maps.
Description
Savchenko, A. Fuzzy metrization of the spaces of idempotent measures / V. Brydun, A. Savchenko, M. Zarichnyi // European Journal of Mathematics. – 2020. – V. 6. – Is. 1. – P. 98-109. DOI 10.1007/s40879-019-00341-8.
Keywords
Fuzzy metric, Idempotent measure, Hyperspace, Monad