On a fuzzy soft metric space

الملخص EN

In this paper, we study the definition of soft metric space and fuzzy soft metric space and prove some properties about them.

Also we study the following: We wrote the definition of standard fuzzy soft metric induced from a soft metric and proved some results about the relation between the properties in soft metric space and the induced fuzzy soft metric space.

We defined fuzzy soft isometry between fuzzy soft metric spaces and proved some results about it.

We defined fuzzy soft bounded in fuzzy soft metric space and proved some result about it.