| 多指标问题的多边矩阵表示及其优越性 |
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| 引用本文： | 纪忠杰,罗纯,张应山.多指标问题的多边矩阵表示及其优越性[J].上海轻工业高等专科学校学报,2011(2):167-170. |
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| 作者姓名： | 纪忠杰 罗纯 张应山 |
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| 作者单位： | [1]华东师范大学金融与统计学院,上海200241 [2]上海应用技术学院理学院,上海200235 |
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| 基金项目： | 教育部高等学校博士学科点专项基金资助项目（44K55050） |
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| 摘 要： | 多边矩阵理论是一种新的处理多指标问题的方法体系,其不同于数学学科在众多领域中处理多指标问题所采用的从局部到整体的分析思路,多边矩阵提供了从整体分析到局部分析的数学方法。给出了多边矩阵的定义,介绍了多边矩阵的书面及代数表示方式,通过实例来说明运用多边矩阵的表示方式来分析问题的优越性。
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| 关 键 词： | 多指标 框架 多边矩阵 正交性 对称性 |
The Expression and Superiority of Multilateral Matrix on Multi-index Problems |
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| JI Zhong-jie,LUO Chun,ZHANG Ying-shan.The Expression and Superiority of Multilateral Matrix on Multi-index Problems[J].Journal of Shanghai Institute of Technology(Natural Science),2011(2):167-170. |
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| Authors: | JI Zhong-jie LUO Chun ZHANG Ying-shan |
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| Affiliation: | 1.School of Finance and Statistics,East China Normal University,Shanghai 200241,China;2.College of Sciences,Shanghai Institute of Technology,Shanghai 200235,China) |
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| Abstract: | Multilateral Matrix theory is a new method dealing with Multi-index problems.Being different from many analysis paths in many mathematical fields,which deal with Multi-index problems from local to global Multilateral Matrix provides a mathematical method which analyses problems from global to local.This paper offers the definition of Multilateral Matrix and introduces both the written expression and algebraic expression of Multilateral Matrices.It also illustrates the superiority of using Multilateral Matrix to analyze the Multi-index problems by listing some examples. |
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| Keywords: | Multi-index framework Multilateral Matrix orthogonality symmetry |
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