中文摘要：

利用Zadeh函数和既约集合套分别给出模糊补充的两种定义,并证明两种定义的等价性,同时相应的讨论了此类子群的商群及它的同态性质。另外,我们还定义并初步研究了模糊极小补充。

英文摘要：

In this paper,by using Zadeh function and irreducible nested set are given two definitions of fuzzy complement respectively,and prove the equivalence of the two definitionsk,at the same time,the factor groups and its homomorphic properties of such subgroups are discussed correspondingly.In addition,we also define and preminary study the fuzzy minimal complementary.