关于序区间偏好信息的群决策方法研究

摘要

It is a new important research topic to discuss the problem of ranking in group decision making based on ordinal interval preference information. In this paper, an analytic method is proposed to solve the problem of ranking based on the ordinal interval preference information in decision making. Firstly, some concepts and characters of the ordinal interval preference information are introduced. Then, based on introducing the concepts of possibility and possibility matrix, the conclusion is obtained that the matrices of possibility of all experts are fuzzy reciprocal matrices and they are weak consistent. Furthermore, an optimization model of group consensus is constructed to calculate the optimization weigh vector, and an analysis method of ranking in group decision making based on the ordinal interval preference information is proposed. Finally, a numerical example is given to illustrate the use of the proposed analysis method.%在群决策分析中,基于序区间偏好信息的排序方法的研究是一个新的重要研究课题.针对决策分析中基于序区间偏好信息的群决策方法问题,提出了一种新的分析方法.首先,提出了序区间的有关定义及性质；其次,通过定义序区间的可能度及可能度矩阵的概念,得出了每个专家的可能度矩阵均具有满意一致性的互补判断矩阵结论.进而构建了基于群体一致性的最优化模型,依据计算的最优权重向量给出了一种关于序区间偏好信息的群决策方案排序方法.最后,通过一个算例说明了提出的分析方法.