研究了区间数互补判断矩阵的性质问题。利用区间数互反判断矩阵与区间数互补判断矩阵之间的转换关系,给出了乘性一致性与加性一致性区间数互补判断矩阵的定义,并研究了一致性区间数判断矩阵的一些特殊性质;同时给出了区间数互补判断矩阵满意一致性的一个简单的判断方法与算法。文章的最后,通过一个例子来说明这个算法的有效性。
Proprieties of interval number complementary judgment matrix have been studied. Based on the transformation between interval number reciprocal judgment matrix and interval number complementary judgment matrix, this paper proposes the definitions of additive consistency and multiplicative consistency for interval number complementary judgment and correlative definitions as well, and studies the particular proprieties of the consistency interval number judgment matrix. At the same time, it also puts forward a simple algorithm that can judge whether an interval number complementary has the propriety of satisfied transitivity. Finally, the algorithm is illustrated by a numerical examole, the result of which is feasible and effective.