| 基于图论及矩阵理论的系统层次结构划分 |
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| 引用本文： | 马文钰,毛根旺.基于图论及矩阵理论的系统层次结构划分[J].兰州铁道学院学报,2009,28(6):150-154. |
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| 作者姓名： | 马文钰 毛根旺 |
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| 作者单位： | 兰州交通大学交通运输学院,甘肃兰州730070 |
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| 摘 要： | 利用有向图及邻接矩阵的关系,结点的度及邻接矩阵的运算性质,将有向图中结点间的序关系转化为系统要素间的层次结构,从而为评价者和决策者用层次分析法进行定量研究打下坚实的定性分析基础.
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| 关 键 词： | 有向图 邻接矩阵 可达矩阵 层次分析法 结构模型 |
System Hierarchical Structure Division Based on the Graph and Matrix Theory |
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| MA Wen-yu,MAO Gen-wang.System Hierarchical Structure Division Based on the Graph and Matrix Theory[J].Journal of Lanzhou Railway University,2009,28(6):150-154. |
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| Authors: | MA Wen-yu MAO Gen-wang |
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| Institution: | (School of Traffic ＆ Transportation, Lanzhou jiaotong University, Lanzhou 730070,China) |
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| Abstract: | Using relationship between directed graph and adjacency matrix,degree of the node and calculative nature of the matrix,the order relationship between nodes of the directed graph is transformed to the hierarchical structure of the system elements,so as to lay the solid qualitative analysis foundation for evaluators and decision-makers to make quantitative research using analytic hierarchy process. |
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| Keywords: | directed graph adjacency matrix reachability matrix analytic hierarchy process structural model |
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