基于模糊判断矩阵的群决策方法研究

Research on Aggregated Approach to Group Decision Making with Fuzzy Judgment Matrix

对多个决策者给出的偏好信息的有效集结是群决策过程的重要问题之一。不同类型的偏好信息有不同的集结方法。基于模糊判断矩阵一致性的定义,提出一种加权集结方法的最优化模型,从而得到群决策中一类模糊判断矩阵的集结方法,并进一步分析和研究群组判断矩阵与各决策者给出的判断矩阵之间关系的一些重要性质。

The effective aggregation of preference information is one of the most important problems in the process of group decision making. Different types of preference information need to have different aggregated approaches. Based on the definition of the consistency of fuzzy judgment matrix, an optimization model is set up to obtain an aggregated approach in group decision making. And several important properties such as the relationships between the group fuzzy judgment matrix and fuzzy judgment matrix provided by every decision maker are studied.