Application of Fuzzy Metric on Manifolds

Abstract

The relation between of fuzzy subsets and classical mathematics is fundamental to extend of new approchs in applied mathematics. This paper, applies the concept of fuzzy metric on construction of fuzzy Hausdorff space and fuzzy manifold space. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces and fuzzy metric manifold spaces. This study, extends the concept of fuzzy metric space to union and product of fuzzy metric spaces and in this regard investigates the some product of fuzzy metric fuzzy manifold spaces. Valued-level subsets play the main role in the connection of the notation of manifolds and fuzzy metrics.