摘要
本文在群上定义的区间值模糊集空间上,引入由T—余范数诱导的幂等区间余范数S_H,定义了S_H型区间值模糊子群,同时,讨论并研究了它的一些基本性质和结构特征,进而,给出了它的同态象和逆象定理。
In this paper, the idempotent interval conorm S_Hinduced by aT --conorm the space of the interval valued fuzzy sets on groups is introduced, the S_H -- interal valued fuzzy suhgroup is defined. In the mean-time,its some basic properties and structural character are discussed and studied, furthermore, the theorems ofthe homonorphic and the inverse image are given.
出处
《通化师范学院学报》
1997年第8期1-11,共11页
Journal of Tonghua Normal University
关键词
区间值模糊集
幂等区间余范数
S_H型区间值模糊子群
扩张原理
群同态
Interval valued fuzzy sets
Idempotent interval conorm
S_H-interval valued fuzzy subgroup
Extension principle
Homomorphism of group