层次分析法的一种改进及其应用

摘要

This article is based on the purpose of improvements that the AHP has large amount of calculation when dealing with multi-objective decision making problems and prone to error.Use the methods that modify scale value and simplify the judgment matrix to solve the problem AHP prone to error when dealing with multi-objective decision making problems because of the differents in scale value is too small.At the same time,it decreases the calculation on operation process via using triangular matrices predigest judgment matrix,and elevate the estimation matrix＇s consistency.At last,the text takes example to compare the two methods.As a result,the improved method can be used in many object decision-making problems better.%本文基于对层次分析法在处理多目标决策问题时计算量较大、易出现误差的情况提出改进的目的,采用修改标度值和简化判断矩阵的方法,有效地解决了层次分析法在处理多目标决策问题时由于标度值差异太小而容易引起误差的情况,同时通过采用三角矩阵对判断矩阵进行简化,大大减少了求解过程中的计算量,有效地提高了判断矩阵的一致性。最后举例对改进前后两种方法进行了比较,结果表明改进后的方法能更好地适用于多目标决策问题。