| 近似拓扑的并、交、补性质 |
| |
| 引用本文： | 张贤勇. 近似拓扑的并、交、补性质[J]. 四川师范大学学报(自然科学版), 2005, 28(2): 138-141 |
| |
| 作者姓名： | 张贤勇 |
| |
| 作者单位： | 四川师范大学,基础部,四川,成都,610066;四川师范大学,数学与软件科学学院,四川,成都,610066 |
| |
| 基金项目： | 国家自然科学基金(69803007)和四川省青年科学基金资助项目 |
| |
| 摘 要： | 引入拓扑的并、交、补拓扑,从而定义了近似拓扑的三种并、交、补结构,得出了对于近似拓扑的第三种并、交、补,近似拓扑具有封闭性和构成完备格,且近似算子是拓扑格到近似拓扑格的同态满射的重要结论.还研究了并、交、补拓扑在近似算子作用后与近似拓扑的并、交、补的重要关系.
|
| 关 键 词： | 拓扑 粗糙集 近似算子 近似拓扑 拓扑格 |
| 文章编号： | 1001-8395(2005)02-0138-04 |
| 修稿时间： | 2003-04-21 |
The Properties of Union, Intersection and Complement Operators of Approximate Topology |
| |
| ZHANG Xian-yong. The Properties of Union, Intersection and Complement Operators of Approximate Topology[J]. Journal of Sichuan Normal University(Natural Science), 2005, 28(2): 138-141 |
| |
| Authors: | ZHANG Xian-yong |
| |
| Affiliation: | ZHANG Xian-yong~ |
| |
| Abstract: | In this paper, union, intersection and complement topologies of topology are introduced to define three kinds of union, intersection and complement structures for approximate topology. It is proved that for the third structure, the approximate topology is closed under the three operators and is a complete lattice. Moreover, it is also proved that the approximation operator is an epimorphism from topology lattice onto approximate topology lattice. Finally, some important relations are also studied between the union, intersection and complement topologies acted by the approximation operator and the union, intersection and complement of approximate topology. |
| |
| Keywords: | Topology Rough set Approximate operator Approximate topology Topology lattice |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
