Abstract
In this paper, certain fuzzy separation axioms are studied in terms of the notions of quasi-coincidence, q-neighbourhoods and fuzzy θ-closure operators. Fuzzy T 2 and Urysohn spaces are defined, and fuzzy spaces satisfying these axioms are characterized. A (fuzzy) pointwise formulation of a fuzzy T 2-axiom of Hutton and Reilly (1980) is found. Fuzzy regularity and almost regularity are investigated yielding various characterizing properties of these spaces. Certain relationships among all those fuzzy separation axioms are also discussed.
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