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S_H型区间值模糊子群(英文)
引用本文:李晓萍,王贵君.S_H型区间值模糊子群(英文)[J].通化师范学院学报,1997(8).
作者姓名:李晓萍  王贵君
作者单位:通化师范学院数学系,通化师范学院数学系 通化 134002,通化 134002
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。

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

The S_H-interval Valued Fuzzy Subgroup
Li Xiaoping,Wang Guijun.The S_H-interval Valued Fuzzy Subgroup[J].Journal of Tonghua Teachers College,1997(8).
Authors:Li Xiaoping  Wang Guijun
Institution:Li Xiaoping,Wang Guijun Department of Mathematics,Tonghua Teachers' College,Tonghua,Jilin,134002,Peoples' Republic of China
Abstract: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.
Keywords:Interval valued fuzzy sets  Idempotent interval conorm  S_H-interval valued fuzzy subgroup  Extension principle  Homomorphism of group
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