摘要
给出了经典集合G的一种模糊二元运算 ,利用这种模糊二元运算定义了模糊群 ,讨论了这种模糊群的一些性质 ,并给出了模糊群的三种等价定义 ,经讨论知 ,这种模糊群不同于Rosenfeld’s的模糊子群 。
A kind of fuzzy binary operation is given.Definition of fuzzy group based on the fuzzy binary operation is introduced.Some properties of the fuzzy group are discussed and three equivalent definitions of the fuzzy group are given.By discussion,we have known that this kind of fuzzy group is different Rosenfeld's fuzzy subgroup and has better properties than Mustafa Demirci's Smooth group.
出处
《辽宁师范大学学报（自然科学版）》
CAS
2002年第1期3-6,共4页
Journal of Liaoning Normal University:Natural Science Edition
基金
辽宁省教育厅高校科研项目 (A990 3110 0 7)
