Improvement and application for group fuzzy analytic hierarchy process

In order to solve the consistency question of the paired comparison matrix which is constructed based on expert subjective opinion in analytic hierarchy process (AHP), an improved group fuzzy analytic hierarchy process (IGFAHP) was proposed. The AHP was extended to the field of group decision and fuzzy decision by using expert weight and triangular fuzzy numbers. The index weight counting method was designed based on fuzzy direct comparison matrix, by calculating possible degree matrix and turning it to real numbers, which was an improvement for consistency. The consistency function was defined in fuzzy sets, and tested with index number from three to nine. The method was integrated and applied to evaluate the overall design of aircraft system. The result shows that the new method is effective and alleviates the use complexity.