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中文摘要：
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.
英文摘要：
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.
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