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.
出处
《模糊系统与数学》
CSCD
北大核心
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)
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
R-fuzzy Normal Subgroup
Homomorphic Image
Homomorphic Preimage
Fuzzy Normal Subgroup
Implication Operator
Many-valued Implications
