R-模糊正规子群  

R-Fuzzy Normal Subgroup

作　　者：曹姝[1] 廖祖华[1] 胡淼菡[1] 芮明力[1] 刘春芝[1] 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《模糊系统与数学》2012年第1期52-60,共9页Fuzzy Systems and Mathematics

基　　金：江苏省教育科学"十一五"规划项目(D/2006/01/171);江苏省高等学校大学生实践创新训练计划项目(2009-598)

摘　　要：给出了R-模糊正规子群与基于蕴涵的模糊正规子群的定义,得到了R-模糊正规子群的交、并、同态像以及同态原像的相关性质;另外还讨论了它与不同的模糊正规子群的区别与联系,并且给出了具体的蕴涵算子厦它的等价形式。In this paper, we introduc the definition of R- fuzzy normal subgroup and fuzzy normal subgroup based on implication, obtain some properties of intersection, union, homomorphic imageand homomorphic preimage in R-fuzzy normal subgroup. Besides, we also discuss the distinguish and contact of R-fuzzy normal subgroup with different fuzzy normal subgroup, at the same time, we give its equivalent form under specific implication operator.

关 键 词：R-模糊正规子群 同态像 同态原像 模糊正规子群 蕴函算子 多值蕴涵 

分 类 号：O159[理学—数学]