ON α -S-CLOSED CRISP SUBSETS OF A FUZZY TOPOLOGICAL SPACE
ANJANA BHATTACHARYYA(1) and M. N. MUKHERJEE(2)
1. Department of Mathematics, Victoria Institution (College), 78B, A.P.C. Road, Kolkata - 700009, INDIA
anjanabhatta-charyya@hotmail.com
2. Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata - 700019, INDIA
mukherjeemn@ yahoo.co.in
Abstract
In this paper, we introduce a new type of covering property in a fuzzy topological space X, called the property of α-s-closedness of subsets of X. We characterize α-s-closed subsets in many ways, e.g. by means of ordinary nets and power-set filterbases.