NOTE ON α-COMPACT FUZZY TOPOLOGICAL SPACES

M. N. MUKHERJEE, R. P. CHAKRABORTY, A. BHATTACHARYYA

Abstract

It is widely accepted that one of the most satisfactory generalizations of the concept of compactness to fuzzy topological spaces is α-compactness, first initiated by Gantner et al.[3], followed by further investigations by many others. In this article, we propose to characterize the said notion of α-compactness in terms of ordinary nets and power-set lters, and this seems to be quite a new approach to the study of α -compactness.

Keywords

Fuzzy topological space α-cluster point of nets and lters α -compactness.