Properties of a positive reciprocal matrix and their application to the analytic hierarchy process

Properties of a positive reciprocal matrix and their application to the analytic hierarchy process

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Article ID: iaor19993064
Country: Japan
Volume: 41
Issue: 3
Start Page Number: 404
End Page Number: 414
Publication Date: Sep 1998
Journal: Journal of the Operations Research Society of Japan
Authors: , ,
Keywords: analytic hierarchy process
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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