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On fuzzy bitopological spaces. (English) Zbl 0851.54010

Summary: We use the fuzzy topologies \(\tau_1\) and \(\tau_2\) to generate a family \(\tau_s\) which is a supra fuzzy topology on \(X\). Using the family \(\tau_s\), we introduce and study the concepts of separation axioms, continuity (resp. openness, closedness) of a mapping and compactness for a fuzzy bitopological space \((X, \tau_1, \tau_2)\). Our definitions preserve much of the correspondence between concepts of fuzzy bitopological spaces and the associated fuzzy topological spaces. We then investigate the relationship between these concepts and their correspondence with the fuzzy bitopological spaces [the first author and M. E. El-Shafee, Separation axioms for fuzzy bitopological spaces, J. Inst. Math. Comput. Sci., Math. Ser. 4, No. 3, 373-383 (1991)].

MSC:

54A40 Fuzzy topology
54E55 Bitopologies
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References:

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