Abstract

The notions of a fuzzy bitopological space and some separation axioms are introduced. Also, the relation between a fuzzy bitopological space and a fuzzy quasi uniform space is investigated. As a main result, there is given a theorem: a fuzzy bitopological space is fuzzy quasi uniformizable iff it is pairwise completely regular. Moreover, if the space is pairwise compact, then the fuzzy bitopology can be induced by a unique fuzzy quasi uniformity.

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