Characteristics of positive reciprocal matrices in the analytic hierarchy process

Characteristics of positive reciprocal matrices in the analytic hierarchy process

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Article ID: iaor20032011
Country: United Kingdom
Volume: 53
Issue: 12
Start Page Number: 1385
End Page Number: 1389
Publication Date: Dec 2002
Journal: Journal of the Operational Research Society
Authors: ,
Keywords: analytic hierarchy process
Abstract:

Positive reciprocal matrices (PRMs) are the basic elements used by the Analytic Hierarchy Process (AHP) for resolving an important class of multi-criteria decision problems. A PRM, A = (aij), is square with all aij > 0 and aji = 1/aij. We discuss characteristics of such matrices based on an analysis of both real-world and randomly generated sets.

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