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Shiraishi, S., Obata, T., & Daigo, M. (1998). Properties of a positive reciprocal matrix and their application to AHP. Journal of the Operations Research Society of Japan, 41(3), 404–414. 
Added by: Klaus D. Goepel (06 Jun 2019 13:27:03 Asia/Singapore)   Last edited by: Klaus D. Goepel (10 Jun 2019 04:48:43 Asia/Singapore)
Resource type: Journal Article
BibTeX citation key: Shiraishi1998
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Categories: AHP/ANP
Keywords: Analytic Hierarchy Process (AHP), characteristic polynomial, eigenvector method (EVM), incomplete pairwise comparison matrix, missing entry, pairwise comparison matrix, positiv reciprocal matrix
Creators: Daigo, Obata, Shiraishi
Collection: Journal of the Operations Research Society of Japan
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Abstract
The characteristic polynomial of a positive reciprocal matrix has some noteworthy properties. They are deeply related to the notion of consistency of a pairwise comparison matrix of AHP. Based on the results, we propose a method for estimating a missing entry of an incomplete pairwise comparison matrix.
  
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