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The Urysohn, completely Hausdorff and completely regular axioms in $L$-fuzzy topological spaces | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 7، دوره 12، شماره 6، زمستان 2015، صفحه 109-128 اصل مقاله (180.23 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2015.2183 | ||
نویسندگان | ||
Chengyu Liang ![]() | ||
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 | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
$L$-fuzzy topology؛ Urysohn axiom؛ Completely Hausdorff axiom؛ Completely regular axiom | ||
مراجع | ||
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