Eigenvector Method of Weight Vector of Generalized Judgment Matrix in Analytic Hierarchy Process

Through a deep study on the consistency of generalized judgment matrixes, new restraint equations of the weight vector of setS=u1,u2,...,unare obtained. The weight vector can be solved using the equations when the structure matrix corresponding to the set s generalized judgment matrix is irreversible. In addition, a sixth-order generalized judgment matrix is tested randomly, and the result shows that the scope of their application is raised from 66% to 99.5%.