中文摘要：

根据已有的关于生成Vague子群的定义和性质,结合Vague群的知识,构造出了广义的生成Vague子群的定义,得到了一系列的性质和定理.并给出了严格的证明,推广了生成Vague子群的概念和性质,进一步完善了Vague群理论.

英文摘要：

Based on the definitions and properties of the existing generated Vague subgroups,combined with knowledge of Vague groups,constructed a definition of generalized Vague subgroup,gave a series of properties and theorems with strictly proofs,promoted the concept and properties of the generated Vague subgroup,and improved the Vague group theory.