摘要
针对属性权重信息不完全且属性值以区间数形式给出的多属性决策问题,提出了一种逼近于理想点(TOPSIS)的决策分析方法.首先对属性权重信息不完全的区间数多属性决策问题进行了描述;然后依据传统的,TOPSIS方法的基本思路,给出了解决属性权重信息不完全的区间数多属性决策问题的计算步骤,其核心是通过构建并求解二次规划模型,得到每个方案与正理想点、负理想点的差异值,进而计算出每个方案与理想点的相对接近度,即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.
With respect to the problem of multiple attribute decision-making with incomplete information on attribute weights to which the attribute values are given in terms of interval numbers, a modified TOPSIS （technique for order preference by similarity to ideal solution） analysis is proposed. Describing briefly the problem discussed, the conventional TOPSIS is based on to give the calculation steps to solve it. As the key step, a quadratic programming model is developed to determine the deviation values between every alternative and positive ideal point or negative ideal point. Then, according to the deviations, the relative accessibility to the ideal point is calculated for each and every planning to rank all alternatives. A numerical example is given to illustrate how to use the proposed method.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2005年第8期798-800,共3页
Journal of Northeastern University(Natural Science)
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学科点专项基金资助项目(20040145018)辽宁省自然科学基金资助项目(20032028).
关键词
多属性决策
属性权重
不完全信息
区间数
TOPSIS
二次规划
multiple attribute decision-making
attribute weight
incomplete information
interval number
TOPSIS
quadratic programming
