摘要
设G为在模糊二元运算下的模糊群 .给出了G的子模糊群和正规子模糊群的定义 .讨论子模糊群和正规子模糊群的一些性质 .证明了子模糊群的交为子模糊群 ,子模糊群与正规子模糊群的“积”为子模糊群 .
In this paper, G is a fuzzy group on fuzzy binary operation,the definitions of sub fuzzy group and normal sub fuzzy group of G are introduced and some properties of them are discussed. Furthermore,it is proved that the intersection of sub fuzzy groups is still a sub fuzzy group and the 'product' of a sub fuzzy group and a normal sub fuzzy group is still a sub fuzzy group.
出处
《辽宁师范大学学报(自然科学版)》
CAS
2002年第2期123-125,共3页
Journal of Liaoning Normal University:Natural Science Edition