Abstract
In this paper, a kind of new fg-compactness is introduced in L-fuzzy topological spaces, where L is a fuzzy lattice. And its topological properties are systematically studied. This new fg-compactness is defined for arbitrary L-subsets. The intersection of a fg-compact L-fuzzy subset and a gf-closed L-fuzzy subset is fg-compact. This new fg-compactness is a good extension. Besides, different characterizations are obtainIn this paper, a kind of new fg-compactness is introduced in L-fuzzy topological spaces, where L is a fuzzy lattice. And its topological properties are systematically studied. This new fg-compactness is defined for arbitrary L-subsets. The intersection of a fg-compact L-fuzzy subset and a gf-closed L-fuzzy subset is fg-compact. This new fg-compactness is a good extension. Besides, different characterizations are obtained, and some of its properties studied.ed, and some of its properties studied.
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