Estimation of Unknown Comparisons in Incomplete AHP and It’s Compensation

This paper proposes a method to estimate unknown paired comparisons and compensation in incomplete AHP. The typical methods in incomplete AHP are Harker method and Two-stage method. In Harker method, however, weights are calculated without estimate unknown comparisons. In Two-Stage method, estimation for unknown comparisons is carried out, but the priority of known comparisons and estimated comparisons are treated with equal importance. As a result, some undesirable problems occurred. In this study, unknown comparisons are estimated based on repeating geometric mean and compensated by difficulty of estimation based on consistent binary AHP. Keyword: Incomplete AHP, Unknown comparisons, Estimation, Compensation ISSN 0386-1678 Report of the Research Institute of Industrial Technology, Nihon University Number 77, 2005