摘要
Structuring the hierarchy of a system is an important link of solving problems with the analytic hierarchy process. This paper gives and proves the two theorems about the relationship between the hierarchy and the reachability matrix of the system. On the basis of it, we propose a method of structuring hierarchy by directly using the reachability matrix of the system. This method is simpler and clearer than that of interpretive structural modeling and is suitable for both manual calculating and computer proceeding. It fully shows the simplicity of the AHP.
Structuring the hierarchy of a system is an important link of solving problems with the analytic hierarchy process. This paper gives and proves the two theorems about the relationship between the hierarchy and the reachability matrix of the system. On the basis of it, we propose a method of structuring hierarchy by directly using the reachability matrix of the system. This method is simpler and clearer than that of interpretive structural modeling and is suitable for both manual calculating and computer proceeding. It fully shows the simplicity of the AHP.