Fuzzy rough sets and fuzzy rough group in a group were first introduced under the condition of the fuzzy congruence relation, in this paper, some properties were discussed and get some meaning results.

• 在模糊同余关系下,首次提出了群中模糊同余关系下的模糊粗糙集和模糊粗糙群的概念,并讨论了它的一系列的性质,得到了一些有意义的结果。