ON REGULARITY AXIOMS IN FUZZY NEIGHBORHOOD SPACES
Two notions of regularity in fuzzy neighbourbood spaces (fns's) have been introduced; one by T.M.G. Ahsanullah, and the other by the authors. We prove that those two notions coincide. We then characterize a regular fns as a fns whose alpha-level topologies, for all 0 < alpha < 1, are regular.
fuzzy neighborhood spaces fuzzy topological spaces a-regularity n-regularity level topologies