BICOMPLETABLE STANDARD FUZZY QUASI-METRIC SPACE

Abstract

In this paper we introduce the definition of standard fuzzy quasi-metric space then we discuss several properties after we give an example to illustrate this notion. Then we showed the existence of a standard fuzzy quasi-metric space which is not bicompletable. Here we prove that every bicompletable standard qussi-metric space admits a unique [ up to F-isometic ] bicompletion.