东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (2): 289-292.DOI: -

• 论著 • 上一篇    下一篇

基于残缺互补判断矩阵的多指标决策方法

张尧;樊治平;   

  1. 东北大学工商管理学院;东北大学工商管理学院 辽宁沈阳110004;辽宁沈阳110004;东北大学流程工业综合自动化教育部重点实验室;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-02-15 发布日期:2013-06-24
  • 通讯作者: Zhang, Y.
  • 作者简介:-
  • 基金资助:
    国家杰出青年科学基金资助项目(70525002);;

Method for multiple attribute decision making based on incomplete complementary judgment matrix

Zhang, Yao (1); Fan, Zhi-Ping (1)   

  1. (1) School of Business Administration, Northeastern University, Shenyang 110004, China; (2) Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-02-15 Published:2013-06-24
  • Contact: Zhang, Y.
  • About author:-
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摘要： 针对具有残缺互补判断矩阵形式方案偏好信息的多指标决策问题,提出了一种决策分析方法.对具有残缺互补判断矩阵的多指标决策问题进行了描述.依据残缺互补判断矩阵和决策矩阵,构建了求解指标权重的最优化模型.采用拉格朗日乘数法求解该模型,得到每个指标的权重值,进而计算出每个方案的综合评价值,从而可得到所有方案的排序结果.最后,通过给出一个算例说明了该方法的可行性和实用性.

关键词: 多指标决策, 残缺互补判断矩阵, 决策矩阵, 最优化模型, 方案排序

Abstract: With respect to the multiple attribute decision making problem with fuzzy preference relations on alternatives in form of incomplete complementary judgment matrix, a method is proposed to analyze the decision problem. The multiple attribute decision making problem is introduced and an optimization model is developed on the basis of incomplete complementary judgment matrix provided by the decision maker and the decision matrix to determine attribute weights by Lagrange multiplier method. Then the appraisal values of all alternatives are calculated to rank them. A numerical example is given to illustrate the feasibility and practicality of the proposed method.

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