A Method in Regulating the Consistency of the Judgment Matrix
Qiming Feng · Keji daobao · 2010
While making decision by Analytic Hierarchy Process(AHP), the consistency of judgement matrix must be checked.If it can not pass the test, some entries of the judgement matrix should be adjusted, and the consistency should be tested again.Accordingly, it is important to find methods regulating the consistency of the judgment matrix.However, with many such methods, the variations of many entries are too great, and the number of adjusted entries are too large, as is not very convenient for decision-makers.This paper proposes a method for regulating the consistency of the judgment matrix, where the revision and the identification of error-elements are based on the maximum deviation of the related element to the arithmetic mean obtained from multiplying a row vector by a column vector.This method can better describe the information of the original judgment matrix, and the threshold of the regulation can also be pre-established.The unreasonable elements can be identified easily, efficiently and quickly.The computation is simple, and the regulation can be done manually or by computer.