The fuzzy metric space based on fuzzy measure

Abstract

In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space.

Keywords

• fuzzy measure
• fuzzy metric space
• t-norm, nonatom
• convex
• 54e70
• 54a40
• 60b05