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FUZZY METRIZATION OF THE SPACES OF IDEMPOTENT MEASURES

FUZZY METRIZATION OF THE SPACES OF IDEMPOTENT MEASURES

Brydun, V.; Savchenko, A.; Zarichnyi, M.; Савченко, О. Г.
URI: http://ekhsuir.kspu.edu/123456789/16383
Date: 2020

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.

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