Bicompletable Standard Fuzzy Quasi-Metric Space

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

[关键词] Standard fuzzy metric space;Standard fuzzy quasi-metricspace;Bicompletable standard qussi-metric space