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中国管理科学

中国管理科学 ›› 2008, Vol. 16 ›› Issue (1): 158-162.

• 论文 • 上一篇    下一篇

对方案有偏好的区间数多属性灰色关联决策模型

卫贵武1,2, 魏宇1   

  1. 1. 西南交通大学经济管理学院 成都610031;
    2. 重庆文理学院经济与管理系 永川402160
  • 收稿日期:2006-10-17 修回日期:2007-11-30 出版日期:2008-02-28 发布日期:2008-02-28
  • 作者简介:卫贵武(1973- ),男(汉族),西南交通大学经济管理学院副教授,博士研究生,研究方向:决策分析、应用统计、公司理财及金融工程.
  • 基金资助:

    国家自然科学基金资助项目(70501025)

Model of Grey Relational Analysis for Interval Multiple Attribute Decision Making with Preference Information on Alternatives

WEI Gui-wu1,2, WEI Yu1   

  1. 1.School of Economics and Management, Southwest Jiaotong University, Chengdu 610031, China;
    2. Department of Economics and Management, Chongqing University of Arts and Sciences, Yongchuang 402160, China
  • Received:2006-10-17 Revised:2007-11-30 Online:2008-02-28 Published:2008-02-28

PDF (PC)

1586

被引次数

79

摘要： 针对属性值以区间数形式给出并且已知方案偏好信息的多属性决策问题,提出了一种灰色关联分析的决策方法。该方法依据一般的灰色关联分析方法的基本思路,给出了该问题的计算步骤,其核心是通过构建并求解一个单目标最优化模型,得到属性权重信息,从而计算出每个方案客观偏好值与主观偏好值的灰色关联系数,进而得到每个方案客观偏好与主观偏好的关联度,根据关联度对所有方案进行排序。最后给出了一个数值例子,结果表明方法简单,有效和易于计算。

关键词: 多属性决策, 属性权重, 区间数, 灰色关联分析, 单目标最优化

Abstract: With respect to the problem of multiple attribute decision-making with interval numbers and preference information on alternatives,the method of Grey Relational Analysis(GRA) is proposed. Then the calculation steps to solve it are given. As the key step,a single objective programming model is constructed to obtain the attribute weights. Then,the relational coefficients between objective preference and subjective preference of every alternative are obtained. Then,according to the relational degree,all alternatives are ranked. At last, a numerical example is provided to illustrate the proposed method. The result shows the approach is simple,effective and easy to calculate.

Key words: multiple attribute decision-making, attribute weight, interval numbers, Grey Relational Analysis(GRA), single objective programming

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