基于区间数决策矩阵的专家群体判断一致性

On Consistency of Expert Group's Judgments Based on Decision Matrices in Form of Interval Numbers

针对群决策中基于区间数决策矩阵形式偏好信息的专家群体判断一致性问题,提出了一种分析方法.首先,给出了有关区间数的定义及其决策矩阵规范化方法;然后,通过定义有关两个区间数的距离和一致性判定函数,给出了专家群体判断各个元素、各个方案、各个指标的一致性分析方法,同时,也给出了基于区间数决策矩阵的专家群体判断一致性的判别方法及专家群体判断不一致的调整方法.最后,通过一个算例说明了该方法的有效性.

With respect to the consistency problem of expert group＇ s judgments based on the preference information on the decision matrices in form of interval numbers, an analytic method is proposed. The concept of interval number and the method to normalize the decision matrix are introduced. Then, defining the distance between two interval numbers and decision function of consistency, an analytic method is given to the consistency of expert group＇ s judgment including each and all elements, alternatives and indices. Meanwhile, a discrimination approach is proposed for the consistency of expert group＇s judgment based on the preference information on decision matrices in form of interval numbers, with a readjusting way provided if there is no consensus on the judgment. A numerical example is given to illustrate the validity of the analysis method proposed.