基于残缺互补判断矩阵的多指标决策方法  

A Method for Multiple Attribute Decision Making Based on Incomplete Complementary Judgment Matrix

作　　者：张尧[1] 樊治平[1] 

机构地区：[1]东北大学工商管理学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2007年第2期289-292,共4页Journal of Northeastern University(Natural Science)

基　　金：国家杰出青年科学基金资助项目(70525002);国家自然科学基金资助项目(70371050);国家教育部高等学校优秀青年教师教学科研奖励计划项目(教人司[2002]123);国家教育部高等学校博士点专项科研基金资助项目(20040145018);辽宁省自然科学基金资助项目(20052025)

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.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 ranking

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 

分 类 号：C934[经济管理—管理学]