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