On regular generalized fuzzy compact sets

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