【作者】 司艳杰； 魏法杰；

【Author】 SI Yan-jie,WEI Fa-jie (School of Economics and Management,Beijing University of Aeronautics and Astronautics,Beijing 100083,China)

【机构】 北京航空航天大学经济管理学院；

【摘要】 本文研究了评价矩阵和属性权重均为语言变量,而且专家在不同的属性上权重不同的多属性群决策问题。首先将语言变量转化为区间数形式,然后通过不同属性上各专家的先验权重和后验权重将各自的评价矩阵集结为群体评价矩阵。为了避免区间数直接相乘而导致模糊性增加等问题,本文建立了一个求解属性权重的优化模型,将专家给出的区间数属性权重集结为实数权重向量。对于得到的方案综合评价值,采用一种区间数排序算法进行排序。实例研究的结果表明,本文提出的方法是可行而且有效的。更多还原

【Abstract】 This paper studies the multi-attribute group decision-making problem which deals with linguistic assessment information and assigns the experts with different weights in different attributes.At first,the linguistic assessment information is transferred into corresponding interval numbers.Then,the evaluation matrices are aggregated by means of the anterior and posterior weight of the experts.In order to avoid the direct multiplication of interval numbers,the weights of attributes,which are given by each expert in linguistic variables and then transformed into interval numbers,are aggregated into the synthesized weight vector in the form of real numbers through an optimization model.At last,the comprehensive score of each alternative is obtained and ranked by a ranking algorithm of interval numbers.A numerical example illustrates that the proposed method is applicable and efficient.更多还原