F-Compactness in L-closure Spaces

摘要

In this paper, the concepts of F-compactness set and F-compactness space in L-closure space are defined. In term of net, cover and L-closed sets, some characterizations of F-compactness are obtained. Furthermore, a series of interesting properties of F-compactness are discussed. It is proved that F-compactness in L-closure space is closely hereditary and preserved by L-fuzzy homeomorphisms.