Abstract: The difficulty of applying the AHP method is the construction of the comparison matrix,and the difficulty of constructing the comparison matrix lies in the consistency problem of the matrix.This paper analyzes the reasons which result in the inconsistency of the comparison matrix from AHP through the G1 method,points out the essential difference between the G1 method and the construction of the comparison matrix and solves the problem of applying the AHP method.Also,the wrong conclusions based on the construction of the comparison matrix in some literatures are analyzed.

Key words: AHP, G1 method, consistency, scale, order relation