基于一致性矩阵的机场选址指标权重统计算法

Statistics Algorithm for Airfield Allocation Index Proportion Based on Consistency Matrix

为了提高AHP法机场选址指标权重的可靠度,利用一致性矩阵理论和统计学原理,提出一种基于一致性矩阵的机场选址指标权重统计算法。算法在完全遵循专家判断信息的基础上构造一组一致性矩阵,取这组一致性矩阵的单位特征向量的平均向量作为指标权重。算法不需要对判断矩阵进行一致性检验,避免了当专家判断矩阵一致性不满足要求时改进判断矩阵可能对指标权重产生不利影响的倾向,为AHP法机场选址指标权重提供了一种稳健的计算方法。

In order to improve the reliability of index proportion for airfield allocation in AHP,using consistency matrix theory and statistics principle,an statistics algorithm for airfield allocation index proportion based on consistency matrix is presented in this paper. According to the information of expert judgment completely,the algorithm constructs a group of consistency matrix and takes the average vector of unit feature vector of every consistency matrix constructed as the index proportion. The consistency testing for the expert judgment matrix is not be needed any longer,so the algorithm completely avoids to probably have a bad influence on index proportion along with improving the consistency of expert judgment matrix when expert judgment matrix can not satisfied the requirement in AHP. Thus providing a robust calculation method of index proportion for airfield allocation in AHP.