模糊同余关系下的模糊粗糙群的同态

摘要

In this paper, by the corresponding between fuzzy normal subgroups and complete fuzzy congruence relation on a group, the homomorphisms relation of fuzzy rough groups based on fuzzy congruence relation was studied. It concludes that an epimorphism could keep fuzzy congruence relation in some condition, which Supplement and rich the cross theory concerned with both fuzzy sets and rough sets.%　　从群上的模糊正规子群与完备模糊同余关系的对应出发，研究模糊同余关系下的模糊粗糙群与模糊粗糙商群的同态关系。即在一定条件下，满同态能保持模糊同余关系的结果。进一步补充和丰富了模糊集与粗糙集的交叉理论。