| 基于自反关系的区间值模糊近似空间诱导的拓扑结构 |
| |
| 引用本文： | 王莉,李令强,孟广武,李颜霞.基于自反关系的区间值模糊近似空间诱导的拓扑结构[J].模糊系统与数学,2012,26(3):100-104. |
| |
| 作者姓名： | 王莉 李令强 孟广武 李颜霞 |
| |
| 作者单位： | 聊城大学数学科学学院,山东聊城,252059 |
| |
| 基金项目： | 国家自然科学基金资助项目，山东省中青年科学家科研奖励基金资助项目 |
| |
| 摘 要： | 给出了论域U上自反的区间值模糊关系R诱导拓扑的一种新方法,并与胡凯的关于模糊紧性与粗集拓扑的研究中R诱导拓扑的方式进行了比较。结果表明:(1)后者需要R具有传递性才能生成拓扑,而前者则不需要此条件;(2)当R满足传递性时,两种方式生成的拓扑是相同的。
|
| 关 键 词： | 拓扑学 区间值模糊集 自反的区间值模糊关系 近似空间 |
The Topological Structure Induced by Interval-valued Fuzzy Approximate Space Based on Reflexive Relation |
| |
| WANG Li
,
LI Ling-qiang
,
MENG Guang-wu
,
LI yan-xia.The Topological Structure Induced by Interval-valued Fuzzy Approximate Space Based on Reflexive Relation[J].Fuzzy Systems and Mathematics,2012,26(3):100-104. |
| |
| Authors: | WANG Li LI Ling-qiang MENG Guang-wu LI yan-xia |
| |
| Institution: | (School of Mathematics Science,Liaocheng University,Liaocheng 252059,China) |
| |
| Abstract: | In this paper,a new method that generates topologies by a reflexive interval-valued fuzzy relation R is introduced and then the comparisons with that method generating topologies by R in the literature of Hu Kai’s "The Research of Fuzzy Compactness,Rough Sets,and Topology" are drawn.The results show that:(1) the latter generates topologies only if R is transitive while the former does not need this condition;and(2) the two types of topological structures are the same when R is transitive. |
| |
| Keywords: | Topology Interval-valued Fuzzy Set Reflexive Interval-valued Fuzzy Relation Approximate Space |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
