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Ordered \(L\)-fuzzy \(G_\delta\)-extremally disconnected spaces and Tietze extension theorem. (English) Zbl 1171.54306

Summary: We introduce a new class of fuzzy topological spaces called ordered \(L\)-fuzzy \(G_\delta\)-extremally disconnected spaces. Besides giving several characterizations and some interesting properties of these spaces, we also establish a Tietze extension theorem.

MSC:

54A40 Fuzzy topology
03E72 Theory of fuzzy sets, etc.
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