\(\beta S^*\)-COMPACTNESS IN L-FUZZY TOPOLOGICAL SPACES
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Authors
I. M. HANAFY
- Department of Mathematics, Faculty of Education, Suez Canal University, El-Arish, Egypt.
Abstract
In this paper, the notion of \(\beta S^*\)−compactness is introduced in
L−fuzzy topological spaces based on \(S^*\)−compactness. A \(\beta S^*\)−compactness
L-fuzzy set is \(S^*\)−compactness and also \(\beta \)−compactness. Some of its properties
are discussed. We give some characterizations of \(\beta S^*\)−compactness in
terms of pre-open, regular open and semi-open L−fuzzy set. It is proved that
\(\beta S^*\)−compactness is a good extension of \(\beta \)−compactness in general topology.
Also, we investigated the preservation theorems of \(\beta S^*\)−compactness under
some types of continuity.
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ISRP Style
I. M. HANAFY, \(\beta S^*\)-COMPACTNESS IN L-FUZZY TOPOLOGICAL SPACES, Journal of Nonlinear Sciences and Applications, 2 (2009), no. 1, 27-37
AMA Style
HANAFY I. M., \(\beta S^*\)-COMPACTNESS IN L-FUZZY TOPOLOGICAL SPACES. J. Nonlinear Sci. Appl. (2009); 2(1):27-37
Chicago/Turabian Style
HANAFY, I. M.. " \(\beta S^*\)-COMPACTNESS IN L-FUZZY TOPOLOGICAL SPACES." Journal of Nonlinear Sciences and Applications, 2, no. 1 (2009): 27-37
Keywords
- L−fuzzy topological spaces
- fuzzy \(\beta S^*\)−compactness
- local \(\beta S^*\)−compactness
- \(\beta_a\) − cover
- \(Q_a\) − cover.
MSC
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