基于二元语义符号运算的群决策方法

An Approach to Group Decision-Making Problems Based on Two-Tuple Linguistic Symbol Operation

具有语言判断矩阵形式的偏好信息的群决策是决策分析及群决策支持系统研究中的一个重要课题。针对这类群决策分析问题,提出了一种基于二元语义符号运算的群决策方法。在该方法中,首先描述了语言判断矩阵形式的偏好信息及其语言判断矩阵转化为二元语义符号的方法,然后基于T OWA算子给出了集结各决策者偏好信息和方案优选的方法。算例验证表明,用该方法所得到的方案是最优方案。

The group decisionmaking, where the preference information provided by individual decision maker is a linguistic judgement matrix, is important and necessary in decision analysis and group decision support systems. A method for this kind of group decisionmaking problems based on twotuple linguistic symbol operation is proposed in this paper. In the approach, firstly, the linguistic judgement matrix is described and a method is also given to transform it into a twotuple linguistic symbol. Then, based on the twotuple ordered weighted averaging (TOWA) aggregation operator, decision makers' preference information is aggregated into group preference and an approach is also presented to select the most desirable alternative(s). Finally, a numerical example is given to illustrate the validity of the proposed method.