On rough approximations of groups

被引：0
作者：
Changzhong Wang
Degang Chen
Qinghua Hu
机构：
[1] Bohai University,Department of Mathematics
[2] North China Electric Power University,Department of Mathematics and Physics
[3] Harbin Institute of Technology,Power Engineering
来源：
International Journal of Machine Learning and Cybernetics | 2013年 / 4卷
关键词：
Rough set; Group; Normal subgroup; Rough group; Rough approximation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is one of useful methods for research of group theory to construct a new group by using known groups. Lower and upper approximation operators of rough sets are applied into group theory and so the notion of rough group has been introduced. In this paper, we further study the properties of rough groups and examine relationships between subgroups and their rough approximations and relationships between a normal series of a group and its rough approximations.
引用
收藏
页码：445 / 449
页数：4
相关论文
共 84 条
[1]  
Biswas R(1994)Rough groups and rough subgroups Bull Polish Acad Sci Math 42 251-254
[2]  
Nanda S(2002)The lower and upper approximations of fuzzy sets in a fuzzy group Lect Notes Artif Intell 2275 502-508
[3]  
Chen DG(2006)Rough approximation on a complete completely distributive lattice with applications to generalized rough sets Inf Sci 176 1829-1848
[4]  
Zhang WX(2006)Roughness based on fuzzy ideals Inf Sci 164 2417-2437
[5]  
Chen DG(2006)Roughness in modules Inf Sci 176 3658-3674
[6]  
Zhang WX(1990)Rough fuzzy sets and fuzzy rough sets Internat J Genaral Syst 17 191-209
[7]  
Yeung D(2008)Lee, attributes reduction using fuzzy rough sets IEEE Trans Fuzzy Syst 16 1130-1141
[8]  
Tsang ECC(2002)Rough sets methodology for sorting problems in presence of multiple attributes and criteria Eur J Oper Res 38 247-259
[9]  
Davvaz B(2011)Membership evaluation and feature selection for fuzzy support vector machine based on fuzzy rough sets Soft Comput 15 1105-1114
[10]  
Davvaz B(2011)Separating theorem of samples in Banach space for support vector machine learning Int J Mach Learn Cybern 2 49-54
123456789