On A Fuzzy Soft Metric Space


Abstract:In this paper, we study the definition of soft metric space and fuzzy soft metric space and provesome properties about them. Also we study the following: We wrote the definition of standard fuzzy softmetric induced from a soft metric and proved some results about the relation between the properties in softmetric space and the induced fuzzy soft metric space. We defined fuzzy soft isometry between fuzzy softmetric spaces and proved some results about it. We defined fuzzy soft bounded in fuzzy soft metric spaceand proved some result about it.