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NOTE ON α-COMPACT FUZZY TOPOLOGICAL SPACES


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

Issue:

SSRSMI, Number 1, Volume XXII

Section:

Volume 22, Number 1

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.

Code [ID]:

SSRSMI201201V22S01A0005 [0003649]

Full paper:

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