| Fuzzy拓扑空间中分离性的一点注记 |
| |
| 引用本文： | 冯玉英,宣立新. Fuzzy拓扑空间中分离性的一点注记[J]. 南京师大学报(自然科学版), 2002, 25(3): 39-43 |
| |
| 作者姓名： | 冯玉英 宣立新 |
| |
| 作者单位： | 南京师范大学数学与计算机科学学院，南京师范大学强化培养部 210097，南京，210046，南京 |
| |
| 基金项目： | 江苏省教育厅自然科学基金资助项目（99KJD110013） |
| |
| 摘 要： | 在Fuzzy拓扑空间中引入了N-T0,N-T1分离性概念,这不仅使分明的T0,T1拓扑空间分别成为N-T0,N-T1拓扑空间的特款,而且揭示了在Fuzzy拓扑空间中的T0,T1分离性与层次分离性（T-1）,N-T0,N-T1间的分解关系.文中还讨论了这两个分离性的性质.
|
| 关 键 词： | Fuzzy拓扑空间 N-T0 N-T1分离性 远域 |
| 文章编号： | 1001-4616(2002)03-0039-05 |
| 修稿时间： | 2001-09-03 |
The Notes of Separation Properties in Fuzzy Topological Space |
| |
| Feng Yuying,Xuan Lixin. The Notes of Separation Properties in Fuzzy Topological Space[J]. Journal of Nanjing Normal University(Natural Science Edition), 2002, 25(3): 39-43 |
| |
| Authors: | Feng Yuying Xuan Lixin |
| |
| Abstract: | In this paper two classes of separation axioms ( N - T0, N - T1 ) are introduced in fuzzy topological spaces, so T0 and T1 separation axioms in ordinary topological spaces can be made as a special case of N - T0,N - T1 fuzzy topological spaces, moreover decomposition relation among T0, T1 separation axioms, layer separation axiom ( T -1 ) and ordinary separation axioms in fuzzy topological space are revealed . In addition the both separation properties are discussed . |
| |
| Keywords: | fuzzy topological space separation properties of N - T0 N - T1 remote-neighborhood |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
