β-compactness in L-fuzzy topological spaces

Bin Chen () and Shou-li Jiang ()
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Bin Chen: University of Jinan
Shou-li Jiang: ShanDong University

Fuzzy Information and Engineering, 2010, vol. 2, issue 3, 283-292

Abstract: Abstract 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.

Keywords: Fuzzy lattice; L-fuzzy topology; L-fuzzy β-open sets; L-fuzzy β-closed sets; β-compactness; Extension (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s12543-010-0050-9

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