A new method for modification consistency of the judgment matrix based on genetic ant algorithm

Article proposed a modification method on consistency of judgment matrix based on genetic ant algorithm, which considered the inconsistency of judgment matrix causing by its disturbance, we found a nonlinear programming problem to make it have the least modification mount under the premise of consistency. The existence of global optimal solution was proved, finally we designed a corresponding genetic ant algorithm to solve the model and compared the method with existing approach, even applied it to the decision-making. Numerical proved that the nonlinear programming model is effective; to solve the model is reasonable and feasible in genetic ant algorithm.