β-compactness in L-fuzzy topological spaces

Tsinghua University Press - Tập 2 - Trang 283-292 - 2010
Bin Chen1, Shou-li Jiang2
1Department of Mathematics, School of Science, University of Jinan, Jinan, P.R.China
2School of Mathematics, Shandong University, Jinan, P.R. China

Tóm tắt

In this paper, β-compactness is introduced in L-topological spaces, where L is a fuzzy lattice. And its topological properties are systematically studied. This β-compactness is defined for arbitrary L-subsets. The intersection of a β-compact L-fuzzy subset and a β-closed L-fuzzy subset is β-compact with a good extension. Also different characterizations are obtained and some of its properties are studied.

Tài liệu tham khảo

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