Geodesic
$\beta S^*$-COMPACTNESS IN L-FUZZY TOPOLOGICAL SPACES
HANAFY, I. M.1
1 Department of Mathematics, Faculty of Education, Suez Canal University, El-Arish, Egypt
Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 1, p. 27-37.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.002.01.05
Classification : 54A20
Keywords: L−fuzzy topological spaces, fuzzy \(\beta S^*\)−compactness, local \(\beta S^*\)−compactness, \(\beta_a\) − cover, \(Q_a\) − cover.

HANAFY, I. M. 1

1 Department of Mathematics, Faculty of Education, Suez Canal University, El-Arish, Egypt 
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HANAFY, I. M. \(\beta S^*\)-COMPACTNESS IN L-FUZZY TOPOLOGICAL SPACES. Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 1, p. 27-37. doi : 10.22436/jnsa.002.01.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.01.05/

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