| 粗糙子群的判定 |
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| 引用本文： | 汤路金,汤路生.粗糙子群的判定[J].湖南科技学院学报,2007,28(9):3-4,24. |
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| 作者姓名： | 汤路金 汤路生 |
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| 作者单位： | 1. 湖南师范大学,理学院,湖南,长沙,410081;湖南科技学院,数学与计算科学系,湖南,永州,425100
2. 湖南农业大学,工程技术学院,湖南,长沙,410128 |
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| 基金项目： | 湖南省教育厅科学项目基金（06C367）资助. |
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| 摘 要： | 粗糙代数是粗糙集理论研究的重要方向，粗糙群是粗糙代数的主要内容之一。本文以Pawlak粗糙集模型、群论等为基础，主要讨论粗糙集理论在代数群论上的应用，首先给出粗糙子群的概念与性质，然后研究粗糙子群，粗糙交换子群等的判定。
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| 关 键 词： | 粗糙集：粗糙群 粗糙子群 粗糙交换子群 |
| 文章编号： | 1673-2219（2007）09-0003-02 |
| 修稿时间： | 2007-03-06 |
Criterions on Rough Subgroup |
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| TANG Lu-jin,TANG Lu-sheng.Criterions on Rough Subgroup[J].Journal of Hunan University of Science and Engineering,2007,28(9):3-4,24. |
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| Authors: | TANG Lu-jin TANG Lu-sheng |
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| Institution: | 1 School of Science, Hunan Normal University, Changsha Hunan 410081, China; 2 Department of Mathematics and Computing Science, Hunan University of Science and Engineering, Yongzhou Hunan 425100,China 3 School of Engineering and Technology, Hunan Agricultural University, Changsha Hunan 410128, China. |
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| Abstract: | Rough algebra is an important research aspect on rough set theory, and rough group is one of main contains of rough algebra. The applications of rough set on algebra system are discussed under Pawlak rough set model and group theory in this paper. The concepts and properties of rough subgroup are firstly given, and then the criterions on rough subgroup, rough Abelian subgroup and so on are studied. |
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| Keywords: | Rough set Rough group Rough subgroup Rough Abelian subgroup Rough invariant subgroup |
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