- 期刊
A model-based AHP Including the Case of Incomplete Information
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並列摘要
Sekitani and Yamaki introduced two new concepts of self-evaluation value and non-self-evaluation value into AHP and showed that the eigenvalue method can be formulated as some mathematical programming problems with the ratios of the self-evaluation value to the non-self-evaluation value. This study develops a new discrepancy-minimization problem with the ratios of the self-evaluation value to the non-self-evaluation value and their reciprocals. We show that its optimal solution is identical to the principal eigenvector of the pairwise comparison matrix. We compare the analytical properties of the proposed optimization model with that of Harker method for the case of AHP with incomplete information.
參考文獻
Harker, P T.(1987).Alternative modes of questioning in the analytic hierarchy process.Mathematical Modeling.9
Harker, P T.(1987).Incomplete pairwise comparisons in the analytic hierarchy process.Mathematical Modeling.9
Saaty, T. L.(1996).Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation.Pittsburgh, PA:RWS Publications.
Sekitani, K., Takahashi, I.(2001).A unified model and analysis for AHP and ANP.Journal of the Operations Research Society of Japan.44(1)
Sekitani, K., Yamaki, N.(1999).A logical interpretation for the eigenvalue method in AHP.Journal of the Operations Research Society of Japan.42
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