Βs∗− Compactness in L-fuzzy Topological Spaces

نویسنده

  • I. M. HANAFY
چکیده

In this paper, the notion of βS∗−compactness is introduced in L−fuzzy topological spaces based on S∗−compactness. A βS∗−compactness L-fuzzy set is S∗−compactness and also β−compactness. Some of its properties are discussed. We give some characterizations of βS∗−compactness in terms of pre-open, regular open and semi-open L−fuzzy set. It is proved that βS∗−compactness is a good extension of β−compactness in general topology. Also, we investigated the preservation theorems of βS∗−compactness under some types of continuity.

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تاریخ انتشار 2009