模糊子群的模糊粗糙正规子群  

The Fuzzy Rough Normal Subgroups of a Fuzzy Subgroup

作　　者：邵松涛[1] 姚炳学[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《模糊系统与数学》2016年第6期60-64,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11471152)

摘　　要：利用模糊正规子群诱导的模糊关系,生成一个群上的模糊近似空间。在模糊粗糙集的框架下,研究一个模糊子群的模糊正规子群的上下近似算子的结构性质。A fuzzy approximation space was induced by a fuzzy normal subgroup of a group. Based on the framework of fuzzy rough set introduced by Dubois and Prade, the concept of fuzzy rough normal subgroup of a fuzzy subgroup was introduced and some properties of the upper and lower approximations of fuzzy rough normal subgroups were discussed.

关 键 词：模糊子集 模糊子群 模糊正规子群 模糊粗糙集 

分 类 号：O153[理学—数学]