A note on α- and α~*-Hausdorffness

摘要

In this paper, we have introduced αa- and α~*-Hausdorffness in an I-fuzzy topological space (in short, I-fts) in the sense of Sostak and Kubiak and characterize them in terms of the corresponding level topologies. It is shown that these notions satisfy the hereditary, productive and projective properties. The degree to which an I-fts is α- and α~*-Hausdorff, is also discussed.