群组AHP中区间判断矩阵的一致性研究

Research on Consistency of Interval Judgement Matrices in Group AHP

对群组 AHP中区间判断矩阵的一致性进行了研究 ,论证了在对同一决策问题的 S个区间判断矩阵是一致性可接受的情况下 ,它们的加权算术平均综合区间判断矩阵也是一致性可接受的 ,从而为群组 AHP的广泛应用提供了一个理论依据。

This paper studies the consistency′s problem of interval judgement matrices and proves that the weighted arithmetic mean complex interval judgement matrix [WAMIM] is of consistency under the condition that all interval judgement matrices for the same problem of decision making are of consistency, thus, a theoretic guarantee is offered to the applications of group AHP.