| 李宏艳,李清华.RL-拓扑及其紧性[J].数学研究及应用,2018,38(6):636~642 |
| RL-拓扑及其紧性 |
| $RL$-Topology and the Related Compactness |
| 投稿时间：2018-05-28 修订日期：2018-09-01 |
| DOI：10.3770/j.issn:2095-2651.2018.06.009 |
| 中文关键词: 伪补 $RL$-拓扑 $RL$-连续 $RL$-紧性 |
| 英文关键词:pseudo-complement $RL$-topology $RL$-continuous $RL$-compactness |
| 基金项目:国家自然科学基金(Grant No.11471297), 2018年度山东省高等学校科研计划项目(Grant No.J18KA245). |
|
| 摘要点击次数: 1293 |
| 全文下载次数: 760 |
| 中文摘要: |
| 本文提出了$L$-模糊子集$A$上$RL$-拓扑的概念,使得$L$-拓扑成为其特殊情形.给出了$RL$-拓扑空间之间$RL$-连续映射的定义,并利用不等式探讨了$RL$-拓扑的紧性,引入了$RL$-紧的定义,并研究了该紧性的若干性质. |
| 英文摘要: |
| In this paper, the concept of $RL$-topology on $L$-fuzzy subset $A$ is defined, which makes the $L$-topology become special cases. The definition of $RL$-continuous map between $RL$-ts's is given on the topology. Furthermore, the definition of compactness is introduced by means of an inequality in $RL$-topology, and some properties of compactness are studied. |
| 查看全文 查看/发表评论 下载PDF阅读器 |
