FUZZY METRIZATION OF THE SPACES OF IDEMPOTENT MEASURES

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.