Abstract

We introduce a new R 1 separation axiom for fuzzy topological spaces. We identify, from the literature, which lower fuzzy separation axioms are compatible with our R 1, axiom. We provide alternative descriptions for this R 1 axiom in the special setting of fuzzy neighborhood spaces. This special case has standard higher fuzzy separation axioms. In it, we establish aspects of compatibility of our R 1 axiom with those higher separation axioms, as well as with fuzzy compactness.

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