• FUZZY COMPLETABLE OF FUZZY DISTANCE SPACE

Abstract

In this paper we recall the definition of fuzzy distance space on fuzzy set then we discuss several properties of this space after that we give an example to illustrate this notion. Then we prove the existence of a fuzzy distance space which is not fuzzy completable. Here we prove that every fuzzy completable fuzzy distance space admits a unique [up to fuzzy isodistance] fuzzy completation.