International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 92423, 10 pages
Research Article

Semi-Hausdorff Fuzzy Filters

V. Lakshmana Gomathi Nayagam1 and Geetha Sivaraman2

1Department of Mathematics, National Institute of Technology, Tiruchirapalli 620 015, India
2Department of Mathematics, Anna University, Tiruchirappalli 620 024, India

Received 4 April 2007; Revised 16 September 2007; Accepted 19 November 2007

Academic Editor: Etienne E. Kerre

Copyright © 2007 V. Lakshmana Gomathi Nayagam and Geetha Sivaraman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The notion of fuzzy filters was studied by Vicente and Aranguren (1988), Lowen (1979), and Ramakrishnan and Nayagam (2002). The notion of fuzzily compactness was introduced and studied by Ramakrishnan and Nayagam (2002). In this paper, an equivalent condition of fuzzily compactness is studied and a new notion of semi-Hausdorffness on fuzzy filters, which cannot be defined in crisp theory of filters, is introduced and studied.