A note on α- and α*-Hausdorffness

Authors:
Rekha Srivastava;Amit Kumar Singh
Affiliations:
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 221005, India;Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 221005, India
Venue:
Fuzzy Sets and Systems
Year:
2010

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Abstract

In this paper, we have introduced @a- and@a^*-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 @a- and@a^*-Hausdorff, is also discussed.