摘要
由经典集合过渡到模糊集,讨论了群的模糊子集为模糊子群的两个充要条件.最后,提出了模糊子群的左(右)陪集的概念,并介绍了它们之间存在双射这个重要定理.在此基础上着重讨论模糊子群和正规模糊子群的性质,并给出了证明.
In this paper,two necessary and sufficient conditions that a fuzzy subgroup A of a group G is fuzzy subgroup were discussed from classical set to fuzzy set. The concepts of the left( right) cosets on fuzzy subgroups were proposed and the important double- shot theorem between them was introduced. On this basis,the corresponding proofs were given focusing on properties of fuzzy subgroups and normal fuzzy subgroups.
出处
《佳木斯大学学报(自然科学版)》
CAS
2015年第4期625-627,共3页
Journal of Jiamusi University:Natural Science Edition
关键词
子群
模糊子群
陪集
正规子群
正规模糊子群
subgroup
fuzzy subgroup
coset
normal subgroup
normal fuzzy subgroup