群G的反LF正规子群的刻画  

Characterizations of Anti-L-fuzzy normal subgroup of group G

作　　者：王岚[1] 

机构地区：[1]北京理工大学数学系

出　　处：《黑龙江大学自然科学学报》2008年第3期320-322,共3页Journal of Natural Science of Heilongjiang University

基　　金：黑龙江省教育厅科学技术研究项目(11511419)

摘　　要：在已有研究成果的基础上,进一步研究反LF正规子群。首先给出了反LF正规子群的定义,并借助于史福贵教授给出的模糊集的截集的补集,证明了反LF正规子群的新截集在满足一定条件下是经典群的正规子群。最后讨论了在群同态映射所诱导的映射下,反LF正规子群的像和原像仍是反LF正规子群。Anti -L -fuzzy normal subgroups is considered on the basic of present literatures. At first, the concept of anti - L - fuzzy normal subgroups is given. Moreover, by using complementary sets of Professor Shi＇ s cut sets of L - fuzzy sets, it is shown that the new cut sets of anti - L - fuzzy normal subgroups are normal subgroups of a crisp group under certain conditions. Finally, it is obtained that images and pre -images of anti -L -fuzzy normal subgroups are still anti - L - fuzzy normal subgroups under the mapping induced by a homomorphism of groups.

关 键 词：LF集 反LF正规子群 群同态映射 

分 类 号：O159[理学—数学]