摘要
本文引进了Fuzzy子群的(内)直积概念,研究了Fuzzy子群(内)直积的几个性质,得到了群G上的Fuzzy子群可分解为G的子群上Fuzzy子群(内)直积的充分必要条件;并且给出了一些群上的Fuzzy子群的(内)直积分解定理。
In this paper,We introduce the concept of the (inner)direct product of fuzzy Subgroups, giving some important properties. And We obtain th Sufficient and necessary condition of fuzzy Srbgroup of G which can be decomposed as a (inner) direct product of fuzzy Subgroups of Subgroups of G. In addition,We give two (inner) direct product decomposition theorems of fuzzy Subgroup of G.
出处
《广西工学院学报》
CAS
1994年第1期1-6,共6页
Journal of Guangxi University of Technology
关键词
子群
模糊子群
模糊数学
Fuzzy Subguoups
Generating fuzzy subgroups
The direct product of fuzzy Subgroups