判断矩阵与优先权向量之间的冲突现象及其检验

Contradictories between Judgment Matrices and its Priority Vector and Check

首先分析了判断矩阵与优先权向量之间存在的冲突现象,指出AHP的不一致不仅包括判断矩阵本身的不一致,还包括因判断矩阵与优先权向量之间的冲突而导致的不一致,因此,AHP一致性检验也应该包括冲突误差检验.然后,给出了冲突的定义及其误差的度量指标和计算方法,对目前常见的七种数字标度,运用统计模拟方法,通过随机产生1000个3～9各种阶数的判断矩阵,计算出冲突误差的临界值,从而与传统的一致性检验一起构成更加完备的检验体系.

This paper analysis contradictories between judgment matrices and its prior- ity vector, points out that the inconsistency in AHP bring by not only judgment matrices, but contradictories between judgment matrices and its priority vector, so consistency check should contain contradictory check.Then the definitions, index and algorithm about contra- dictory are given. The critical values on contradictories checkouts of seven familiar number scales are obtained through computing average error of 1000 matrices of 3 to 9 rank simulated witch makes consistency check system more check. perfect together with traditional consistency