基于初级权重序列的改进AHP研究

摘要

Aiming at the lack of theoretical foundation of examining and correcting matrix elements, and the process inconveniently in the condition that judgment matrix is not satisfied with the consistency condition when using AHP, this paper proposed an improved AHP based on the primary weight sequence. It guaranteed the people' s logic thinking and made it easy construct judgment matrices. At the same time, it discussed the choice problem of distance unit in the primary weight sequence, and confirmed the standard measurement unit. Finally, experiment results show that the improved AHP can effectively reduce computational complexity and improve the precision of judgment matrix consistency.%针对层次分析法中判断矩阵不满足一致性条件时,检验与修正矩阵元素缺少依据,且操作过程繁琐,提出基于初级权重序列方案的层次分析法.该方法保证了思维逻辑的一致性,使距离判断矩阵在构造时简单易行;同时还探讨了初级权重序列方案中距离单位的选取问题,并确定了标准化的度量单位.实例结果表明,改进的AHP能够有效地减少算法的时间复杂度,提高了矩阵一致性判断的精度.