On separation axioms in L-fuzzy topological spaces

被引：0
|
作者：
Cheng, JS [1 ]
机构：
[1] Hangzhou Dianzi Univ, Coll Sci, Hangzhou 310018, Peoples R China
来源：
Proceedings of 2005 International Conference on Machine Learning and Cybernetics, Vols 1-9 | 2005年
关键词：
L-fuzzy topology; Hausdorff space; molecular net; order-homomorphism;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
A new concept of Hausdorff separation in an L-fuzzy topological space is defined and investigated. With respect to it, several nice properties are obtained. For instance, Hausdorff space implies T-1; Hausdorff space is proved to be hereditary, topological invariant and L-good extend. Furthermore, it is proved that an L-fuzzy topological space is Hausdorff space if and only if every molecular net has at most one limit.
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页码：2534 / 2539
页数：6
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