一种指标权重信息不完全的多指标决策方法  

A Multiple Criteria Decision Making Method Based on Incomplete Weight Information

作　　者：俞竹超[1] 尤天慧[1] 张尧[1] 樊治平[1] 

机构地区：[1]东北大学工商管理学院,沈阳110004

出　　处：《系统工程理论方法应用》2005年第6期506-508,513,共4页Systems Engineering Theory·Methodology·Applications

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

摘　　要：针对指标权重信息不完全的多指标决策问题,提出了一种逼近于理想解的决策分析方法。首先,对指标权重信息不完全的多指标决策问题进行了描述;然后,依据传统的TOPSIS方法的基本思路,给出了解决指标权重信息不完全的多指标决策问题的方法的计算步骤,其核心是通过构建并求解二次规划模型,得到每个方案与正、负理想解间的距离,进而通过计算出相对接近度,即可得到所有方案的排序结果。最后,给出了一个算例。With respect to multiple criteria decision-making problems with incomplete weight information,a TOPSIS analysis method is proposed. In this paper, firstly, the multiple criteria deeision-making problem with incomplete weight information is introduced.Then, based on the traditional TOPSIS method, calculation steps for solving multiple criteria decision-making problems with incomplete weight information are given. In the method,a quadratic programming model is constructed to determine deviation values between every alternative and positive ideal point or negative ideal point. According to the deviation, closeness is calculated to rank alternatives. Finally,a numerical example is used to illustrate the use of the proposed method.

关 键 词：多指标决策 指标权重 不完全信息 TOPSIS 二次规划 

分 类 号：C934[经济管理—管理学] N945.25[自然科学总论—系统科学]