A new aggregation method for the analytic hierarchy process(AHP) judgment matrices in group decision-making
is proposed. Firstly, the possibility degree which measures consistency under the condition of attributes ordering and the
satisfiability degree which measures the difference between group judgment matrices and synthetic matrix are defined. Then,
the optimum possibility degree matrix and the optimum satisfiability degree matrix are computed based on the linearly
and continuity of fuzzy complementary judgment matrices. Finally, with the geometrical average between upper triangular
elements of two optimum matrices, the optimum possibility-satisfiability degree synthetic matrix is acquired. Numerical
examples show the effectiveness and practicability of the method proposed.