A consistency improving method in the analytic hierarchy process1
In this paper, we propose a method to modify a given comparison matrix, by which the consistency ratio (CR) value of the modified matrix is less than that of the original one, and give an algorithm to derive a positive reciprocal matrix with acceptable consistency (i.e., CR<0.1), then the convergence theorem for the given algorithm is established and its practicality is shown by some examples.
the analytic hierarchy process comparison matrices