基于区间数互反判断矩阵的一致性调整新方法

摘要

提出了一种区间数互反判断矩阵一致性和排序的新方法.首先根据已有的区间数互反判断矩阵的一致性定义给出了其一致性等价定义,通过定义导出矩阵,给出了完全一致性判别方法和满意一致指标,并根据此指标给出了一种完全一致性的逼近方法和满意一致的调整方法.最后通过对实互反判断矩阵权重公式的推广给出了区间数互反判断矩阵的一个权重计算公式,算例证明了此方法的有效性.%The consistency and ranking method for interval reciprocal judgment matrices are proposed in this paper.First the equivalent definitions of consistency are proposed based on the given consistency definition of interval reciprocal judgment matrices.Then a consistency checking method and a consistent index of an interval reciprocal judgment matrix are given.Complete consistency approximation approach and satisfied consistency adjusting approach of interval reciprocal judgment matrices are proposed based on the consistent index.Finally the weight computing formula are introduced by extending a weight computing formula for real number reciprocal judgment matrices.Two examples are used to illustrate the validity of proposed method.