Generalized Countable Fuzzy Semi-Compactness in L-Topological Spaces

Abstract

In this paper, the generalized countable fuzzy semi-compactness is defined in LTS, and its weak topological invariance and topological generation are proved. When L is complete Heyting algebra, the union of two generalized countable fuzzy semi-compactness L-set is generalized countable fuzzy semi-compactness; the intersection of a generalized countable fuzzy semi-compactness L-set and a generalized semi-closed countable L-set is generalized countable fuzzy semi-compactness.