语言多属性决策的一种组合方法

A Combined Method of Linguistic Multi-attribute Decision-making

研究了属性权重完全未知,方案属性值和偏好值均为语言变量的多属性决策问题.首先,通过分析相关文献中利用方案属性值与偏好值之间的偏差得到属性权重的不合理性,在最小化方案综合属性值与偏好值的偏差的基础上,建立了一个求解属性权重的规划模型.其次,在各方案的属性值与属性正理想点的偏差最小的基础上,又建立一个求解属性权重的规划模型.第三,在综合考虑各属性下所有决策方案总的组合偏差之和最小的基础上,将上述两个规划模型相结合,得到了一个反映出决策者对两种不同信息的偏好程度的求解属性权重的规划模型,得到了语言多属性决策的一种组合方法.最后,通过实例说明方法的可行性与有效性.

This paper studies the multi-attribute decision-making problem, in which attribute weights is completely unknown and attribute values and preference values on alternatives are linguistic variable. Firstly, we analyze irrationality of attribute weights obtained by using deviation existed between synthesizing values and preference values on alternatives in related reference, and build a programming model for obtaining attribute weights. Secondly, we again build a programming model for obtaining attribute weights by minimizing deviations between positive ideal point and attribute values on alternatives. Thirdly, by minimizing total sum of combined deviations about the two decision-making methods and combining the two programming models proposed above, we build a programming model for obtaining attribute weights which can reflect decision-maker＇s preference degree for two type of different information, and a combined method of linguistic multi-attribute decision-making is proposed in this paper. Finally, a practical example is given to illustrate the feasibility and applicability of the developed method.