Accelerating a genetic algorithm for correcting the judgement matrix consistency in Analytic Hierarchy Process

The analytic hierarchy process (AHP) has been applied in many practical system engineering problems. In this paper in order to correct the consistency of judgement matrix in the AHP, a new method, named AGA-CAHP, is proposed to check the consistency of judgement matrix and compute rank weights at the same time using an accelerating genetic algorithm. The results of theoretical analysis and a case study show that the new method is visual, practical, stable and high precision, and it possesses important theoretical meaning and broad application value in systems engineering.