摘要
以往MADM的敏感性分析主要研究的是使方案集排序稳定的参数区间。本文针对PROMETHEEII方法的权重建立一种新的敏感性分析数学模型,利用经典的线性规划方法,求解使得某方案排序第一且变化最小的权重值,回答了权重超出稳定区间后排序改变方向的问题。在实际应用中,有利于帮助决策者及时调整权重,得到合理结果。
Most of the former sensitivity analysis methods in MADM only study the stable parameters intervals. In this paper, a new kind of sensitivity analysis model of the weights in PROMETHEE Ⅱ is constructed. In this model, the weights that change least and make certain alternative to rank first are obtained by classical linear programming method. In this way the question of how the rank order changes after the weights exceed stable intervals are answered. The analysis result proves that this method is valuable for helping decision makers to adjust the weights and obtain a reasonable result in practice.
出处
《运筹与管理》
CSCD
2006年第6期44-47,共4页
Operations Research and Management Science
基金
国防"十五"预先研究项目(413040201)