以改良式目標規劃法建構AHP模組

Abstract

本論文以改良式目標規劃法，建構AHP模組，容許決策者在給定成對 比較權值時，以區間估計值取代傳統的點估計值，只需給定有意義的成對 比較權值，儘可能涵概完整的決策資訊，改進傳統AHP模組的限制． 此外，本文改良Brywon(1995)所提的目標規劃法，並引進Li(1996)減少變 數個數的代換式，在決策者給定之成對比較權值範圍內，能找出儘量符合 成對比較權值間一致性的比較順序向量，更有效率地求得AHP模組的解． This paper proposes a modified goal programming method to rebuild theAHP model. Decision makers are allowed to give interval estimates in thepairwise comparing process instead of traditional point estimates. They areencouraged to provide more complete and meaningful comparing information.Further more, we release the limitation of traditional AHP model, and reserveall possible decision information. The proposed method is based on Bryson's goal programming method in 1995,and use Li's new method to reduce number of variables. In the given range ofinterval estimates, we can find the proper pairwise comparing value satisfiedthe consistency condition. Then we can resolve the AHP model more efficiency.