| 基于系统结构建模分析的骨架矩阵代数求法 |
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| 引用本文： | 肖人彬,樊政. 基于系统结构建模分析的骨架矩阵代数求法[J]. 华中科技大学学报(自然科学版), 1997, 0(7) |
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| 作者姓名： | 肖人彬 樊政 |
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| 作者单位： | 华中理工大学机械科学与工程学院!武汉430074 |
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| 基金项目： | 国家自然科学基金!79500007，武汉市晨光计划!95501048-20 |
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| 摘 要： | 基于从拓扑分析到代数分析的思路，通过对系统结构建模过程的分析，讨论了解释结构建模中的几种矩阵，阐述了它们的内涵及其之间的相互关系．利用系统结构建模分析的结果，给出了骨架矩阵的一个代数表达式，论证了该表达式的正确性，从而提出了一种求系统骨架矩阵的代数方法．通过实例验证了本方法的简捷性和有效性．
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| 关 键 词： | 解释结构建模 系统分析 同构性 骨架矩阵 代数方法 |
An Algebraic Method for Finding the Skeleton Matrix Based on an Analysis of System Structural Modeling |
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| Xiao Renbin, Fan Zheng. An Algebraic Method for Finding the Skeleton Matrix Based on an Analysis of System Structural Modeling[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1997, 0(7) |
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| Authors: | Xiao Renbin Fan Zheng |
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| Abstract: | Instead of topological analysis, this paper makes a study on system structural modeling by algebraic analysis. Several kinds of matrices and their connotations in interpretive structural modeling are discussed, with the mutual relations among them described. By utilizing the results obtained from an analysis of system structural modeling, an algebraic expression for the skeleton matrix is given and its correctness is proved. A practical example is given to demonstrate the simplicity and effectiveness of the method proposed. |
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| Keywords: | interpretive structural modeling system analysis isomorphism skeleton matrix algebraic method |
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