| 直观模糊性特别拓扑空间中的S- 可数性及S- Lindelof空间 |
| |
| 引用本文： | 杨新梅. 直观模糊性特别拓扑空间中的S- 可数性及S- Lindelof空间[J]. 吉首大学学报(自然科学版), 2000, 21(2): 71-73 |
| |
| 作者姓名： | 杨新梅 |
| |
| 作者单位： | (吉首大学数学与计算机科学系,吉首 416000) |
| |
| 摘 要： | 在直观模糊特别拓扑空间中引入 S- 可数性及S- Lindelof空间的概念,一个直观模糊特别半开集族{Aa | a∈I } 是( x ,τ) 的 S- 基, 当且仅当每一个直观模糊特别集均为集族{ Aa | a∈I } 的元的并; 每一满足S- 第二可数性的直观模型特别拓扑空间也满足S- 第一可数性公理;满足S- 第二可数性公理的直观模糊特别拓扑空间是S- Lindelof 空间; S紧空间是 S- Lindelof 空间.
|
| 关 键 词： | 直观模糊特别集 直观模糊特别拓扑空间 S-可数性 S-Lindelof 空间 |
| 修稿时间： | 2000-02-06 |
S-Countability and S-Lindelof Space in Intuitionistic Fuzzy Special Topological Space |
| |
| YANG Xin-mei. S-Countability and S-Lindelof Space in Intuitionistic Fuzzy Special Topological Space[J]. Journal of Jishou University(Natural Science Edition), 2000, 21(2): 71-73 |
| |
| Authors: | YANG Xin-mei |
| |
| Affiliation: | ( Department of Mathematics and Computer Science , Jishou university, 416000, Hunan China) |
| |
| Abstract: | In this paper,The concepts of S- Base S- Countablility and S-Lindelof space in intuitionistic fuzzy special topological spaces are introducted. Some properties are given:A family { Aa, a ∈ I } of IFFSOS is a S- base of (X , τ) if and only if amy IFFSOS is the suprema of a collection of { Aa, a∈ I } , If an IFSTS satisfies second a xiom of count-ablility, it satisfies first axiom of countability. An IFSTS satisfied second axiom of countaility is a S- Lindelof space, A S- Comparct space is a S- Lindelof space. |
| |
| Keywords: | intuitionistic fuzzy special set intuitionistic fuzzy special topdogical space S-Countability S-Lindelof Space. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉首大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《吉首大学学报(自然科学版)》下载全文 |
