【摘要】 针对群决策中基于互补判断矩阵形式偏好信息的相容性问题,提出了一种分析方法.首先,给出了有关互补判断矩阵、互反判断矩阵及其相互转换公式的定义及其性质,得出了互补判断矩阵具有乘性一致性或满意一致性的充要条件是其相互转换的互反矩阵也具有同样的结论;然后,利用互补判断矩阵与互反判断矩阵之间的转换公式,给出了有关两个互补判断矩阵的相容性指标的定义、互补判断矩阵与其特征矩阵的具有满意相容性指标的概念及其性质.最后,通过一个算例说明了本文提出的分析方法.更多还原

【Abstract】 With respect to the compatibility problem of fuzzy reciprocal judgment matrices given by experts in group decision making,an analytic method is proposed.First,several concepts and characters of fuzzy reciprocal judgment matrices,multiplicative judgment matrices and transformed formula between fuzzy reciprocal judgment matrix and multiplicative judgment matrix are introduced,a conclusion is obtained that the fuzzy reciprocal judgment metrix is consistent or weak consistent if and only if its transformed multiplicative judgment matrix is the same also.Then,based on the transforming formula,a compatibility index of two fuzzy reciprocal judgment matrices and a satisfaction compatibility index between fuzzy reciprocal judgment matrix and its characteristic matrix are proposed.Finally,a numerical example is given to illustrate the use of the proposed approach.更多还原