基于OWG算子的不同形式偏好信息的群决策方法

具有不同形式偏好信息的群决策是决策分析及群决策支持系统研究的一个新课题,它对于进一步提高群决策支持系统的实用性和灵活性方面具有重要意义. 针对这类群决策分析,提出了一种具有效用值、序关系值、模糊互补判断矩阵、互反判断矩阵等4 种形式偏好信息的群决策方法. 在该方法中,首先给出了将不同形式的偏好信息均转化为互反判断矩阵形式的计算公式;然后基于OWG算子将各决策者的偏好信息集结为群的偏好并进行方案的优选;最后给出了一个算例.

Approach to group decision-making with different forms of preference information based on OWG operators

The group decision-making based on different form of preference information is a new topic in decisionanalysis and group decision support systems. It is significant to improve the practical effect and flexibility of groupdecision support systems. This paper proposes an approach to group decision2making problems with four forms ofpreference information , such as preference ordering , utility value , fuzzy reciprocal judgement matrix and multiplicative judgement matrix. In the approach , firstly , the computational formulas are given to uniform the four differentforms of preference information into the form of multiplicative judgement matrix. Then , based on OWGoperators ,the preference information provided by every decision maker is aggregated into group preference and a method is alsogiven to select the most desirable alternative ( s) . Finally , a numerical example is used to illustrate the use of theproposed approach.