Some Properties of Lebesgue Fuzzy Metric Spaces

Abstract

In this paper, we establish a sequential characterisation of Lebesgue fuzzy metric and explore the relationship between Lebesgue, weak $G$-complete and compact fuzzy metric spaces. We also discuss the Lebesgue property of several well-known fuzzy metric spaces.

Keywords

• fuzzy metric space
• lebesgue property
• weak $g$-complete