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Fuzzy子群的(内)直积
引用本文:张桂生.Fuzzy子群的(内)直积[J].广西工学院学报,1994,5(1):1-6.
作者姓名:张桂生
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。

关 键 词:子群  模糊子群  模糊数学

The (Inner) Direct Product of Fuzzy Subgroups
Zhang Guisheng.The (Inner) Direct Product of Fuzzy Subgroups[J].Journal of Guangxi University of Technology,1994,5(1):1-6.
Authors:Zhang Guisheng
Affiliation:Department of Basic Sciences
Abstract: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.
Keywords:Fuzzy Subguoups  Generating fuzzy subgroups  The direct product of fuzzy Subgroups
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