摘要
在群上的区间值模糊集空间上,引入幂等区间范数TH,定义了TH型区间值模糊集的乘积,在此基础上,研究了这种乘积在其模糊正规子群空间上的推广性质,给出了TH型区间值模糊正规子群的同态象定理.
On the space of the interval-valued fuzzy sets on groups, it is defined that the product of T H-interval-valued fuzzy set by introducing the idempotent interval torm T H in this paper. On the basis of it, the generalized properties of the product on the space of its fuzzy normal subgroups is studied. Finally, the theorem of the image of homomorphism of T H-interval-valued fuzzy normal subgroups is given.
出处
《东北师大学报(自然科学版)》
CAS
CSCD
1998年第1期11-15,共5页
Journal of Northeast Normal University(Natural Science Edition)
基金
吉林省教委高校青年科研基金
关键词
区间值模糊集
同态象定理
模糊正规子群
乘积
Interval-valued fuzzy sets
idempotent interval torms
T H-interval-valued fuzzy normal subgroups
product
extension principle