A note on alpha- and alpha*-Hausdorffness

作者：Srivastava Rekha; Singh Amit Kumar^*

来源：Fuzzy Sets and Systems, 2010, 161(8): 1097-1104.

DOI：10.1016/j.fss.2009.11.001

• I-fuzzy topological spaces
• Gradation of openness
• Degree of Hausdorffness

In this paper, we have introduced alpha- and alpha*-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 alpha- and alpha*-Hausdorff, is also discussed.

• 出版日期2010-4-16