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中国管理科学

中国管理科学 ›› 2008, Vol. 16 ›› Issue (5): 141-145.

• 论文 • 上一篇    下一篇

基于灰色关联度求解指标权重的改进方法

崔杰1,2, 党耀国1, 刘思峰1   

  1. 1. 南京航空航天大学经济与管理学院, 江苏南京210016;
    2. 淮阴工学院经济管理学院, 江苏淮安223001
  • 收稿日期:2008-01-23 修回日期:2008-09-18 出版日期:2008-10-31 发布日期:2008-10-31
  • 作者简介:崔杰(1978- ),男(汉族),江苏泗阳人,南京航空航天大学博士研究生,研究方向:灰色系统理论、决策分析.
  • 基金资助:

    国家自然科学基金资助项目(70473037);江苏省软科学重点项目资助项目(BK2006025);江苏省普通高校研究生科研创新计划资助项目(CX08B-039R);南京航空航天大学科研创新基金资助项目(Y0811-091)

An Improved Approach for Determining Weights of Attributes in Decision Making Based on Grey incidence

CUI Jie1,2, DANG Yao-guo1, LIU Si-feng1   

  1. 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
    2. College of Economics and Management, Huai Yin Institute of Technology, Huai an 223001, China
  • Received:2008-01-23 Revised:2008-09-18 Online:2008-10-31 Published:2008-10-31

PDF (PC)

2454

被引次数

281

摘要： 针对决策过程中指标权重的确定问题,在分析现有权重确定方法不足的基础上,提出了一种基于灰色关联度求解指标权重的改进方法,并对其性质进行了研究。该方法是对决策者给出的主观权重经验判断矩阵进行充分挖掘,提取出一个公共比较权重数列,并建立一个简易的数学模型,使确定的权重同时反映主观程度和客观程度。算例分析说明了该改进方法的简单性与实用性。

关键词: 权重, 指标, 多属性决策, 数学模型

Abstract: In order to determine attribute weights in multiple attribute decision making,this paper analyzes the limitations of the present approaches to determining weights of attributes,and proposes an improved approach to determining weights of attributes in decision making based on grey incidence,then studies the properties of the improved method. The approach can fully mine the information from the subjective judgment of experience weight matrix given by decision makers. A public series of comparison of weights is extraded,a simple mathematic programming model is constructed,and the subjective information of weights given by decision makers and the objective information of the decision matrix are integrated. Finally,the analysis of an example demonstrates the simplicity and validity of the improved approach.

Key words: weight, attribute, multiple attributes decision making, mathematic programming model

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