# Fuzzy bicompletable quasi-fuzzy distance space

## Authors

• Aisha J. Hassan

2016-04-07

## Keywords:

Fuzzy Distance Space, Quasi-Fuzzy Distance Space, Fuzzy Bicompletable Quasi-Fuzzy Distance Space.

## Abstract

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

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