Research on Consistency Modification Problem of Comparison Matrix in the Analytical Hierarchy Process
Jianjun Zhu · Systems Engineering - Theory & Practice · 2007
The test and modification approach on the ordinal consistency in the analytical hierarchy process(AHP) is studied.The irrelevant relationship between the ordinal consistency and the basis consistency of the comparison matrix is put forward.Then,the conclusion that the comparison matrix must be checked firstly on the ordinal consistency is concluded.To find the ordinal consistency test approach,the comparison matrix is transformed into a particular matrix that is comprised of zero or one.Following that,a test algorithm and two ordinal modification rules are developed based on the conclusion that a three-side circuit can be constructed if there exists a more than three-side circuit in the directed graph from the particular matrix.