Communications of the
Korean Mathematical Society CKMS

In this paper, we used the supra fuzzy topology which generated from a fuzzy bitopological space [1] to introduce and study the concepts of continuity (resp. openness, closeness) of mapping, separation axioms and compactness for a fuzzy bitopological spaces. Our definition preserve much of the correspondence between concepts of fuzzy bitopological spaces and the associated fuzzy topological spaces.

Keywords: fuzzy bitopological space, supra fuzzy topology, $FP^{*}$-continuous mapping, $FP^{*}$-separation axioms, $FP^{*}$-compact

MSC numbers: 54A40