广义粗糙模糊子群  

Generalized Rough Fuzzy Subgroup

作　　者：郭增晓[1] 赵会引[2] 刘雅娜[1] 

机构地区：[1]石家庄学院数学系,河北石家庄050035 [2]河北工业职业技术学院基础部,河北石家庄050091

出　　处：《河北师范大学学报（自然科学版）》2009年第1期10-13,共4页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(60773174);河北省自然科学基金(A2006000129);河北省教育厅自然科学研究项目(Z2006115)

摘　　要：定义了群中模糊集合基于模糊不变子群的整体近似,并研究了近似算子的性质,讨论了近似算子对于模糊子群的交、并运算的性质;提出了上(下)广义粗糙模糊子群的概念,分析并证明了模糊不变子群成为上(下)广义粗糙模糊子群的条件.The unified approximation of a fuzzy subset of a group is studied based on an invariant subgroup. Some operation properties for the approximation operators about the intersection and union of two fuzzy subgroups are examined. Concepts of the upper and lower generalized rough fuzzy subgroups are proposed. The condition for which a fuzzy invariant subgroup may be an upper or lower generalized rough fuzzy subgroups is analyzed and proved.

关 键 词：粗糙集 模糊集 同余关系 模糊不变子群 近似算子 广义粗糙模糊子群 

分 类 号：O159[理学—数学]