Chengyu Liang - College of Science, North China University of Technology, No.۵ Jinyuanzhuang Road, Shijingshan District, ۱۰۰۱۴۴ Beijing, P.R. China
Fu-Gui Shi - School of Mathematics and Statistics, Beijing Institute of Technology, ۵ South Zhongguancun Street, Haidian District, ۱۰۰۰۸۱ Beijing, P.R. China

In this paper, the Urysohn, completely Hausdorff and completely regular axioms in L-topological spaces are generalized to L-fuzzy topological spaces. Each L-fuzzy topological space can be regarded to be Urysohn, completely Hausdorff and completely regular tosome degree. Some properties of them are investigated. The relations among them and T_۲ in L-fuzzy topological spaces are discussed.

L-fuzzy topology, Urysohn axiom, Completely Hausdorff axiom, Completely regular axiom