Liang, C., Shi, F. (2015). The Urysohn, completely Hausdorff and completely regular axioms in $L$-fuzzy topological spaces. Iranian Journal of Fuzzy Systems, 12(6), 109-128. doi: 10.22111/ijfs.2015.2183
Chengyu Liang; Fu-Gui Shi. "The Urysohn, completely Hausdorff and completely regular axioms in $L$-fuzzy topological spaces". Iranian Journal of Fuzzy Systems, 12, 6, 2015, 109-128. doi: 10.22111/ijfs.2015.2183
Liang, C., Shi, F. (2015). 'The Urysohn, completely Hausdorff and completely regular axioms in $L$-fuzzy topological spaces', Iranian Journal of Fuzzy Systems, 12(6), pp. 109-128. doi: 10.22111/ijfs.2015.2183
Liang, C., Shi, F. The Urysohn, completely Hausdorff and completely regular axioms in $L$-fuzzy topological spaces. Iranian Journal of Fuzzy Systems, 2015; 12(6): 109-128. doi: 10.22111/ijfs.2015.2183
The Urysohn, completely Hausdorff and completely regular axioms in $L$-fuzzy topological spaces
1College of Science, North China University of Technology, No.5 Jinyuanzhuang Road, Shijingshan District, 100144 Beijing, P.R. China
2School of Mathematics and Statistics, Beijing Institute of Technology, 5 South Zhongguancun Street, Haidian District, 100081 Beijing, P.R. China
Abstract
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 to some degree. Some properties of them are investigated. The relations among them and $T_2$ in $L$-fuzzy topological spaces are discussed.
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