ON α -S-CLOSED CRISP SUBSETS OF A FUZZY TOPOLOGICAL SPACE

  • ANJANA BHATTACHARYYA
    Department of Mathematics, Victoria Institution (College), 78B, A.P.C. Road, Kolkata - 700009, INDIA
    anjanabhatta-charyya@hotmail.com
  • M. N. MUKHERJEE
    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.

Cuvinte cheie

α-s-closed space s-θ_{α}-adherent point of net and filterbase α-s-interiorly finite intersection property