Consistency prediction for incomplete AHP matrices

Authors:
William C. Wedley
Affiliations:
Faculty of Business Administration, Simon Fraser University Burnaby, British Columbia, Canada, V5A 1S6
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1993

Citing 1
Cited 2

Derivatives of the Perron root of a positive reciprocal matrix: with application to the analytic hierarchy process

Applied Mathematics and Computation

On optimal completion of incomplete pairwise comparison matrices

Mathematical and Computer Modelling: An International Journal
An LP-based inconsistency monitoring of pairwise comparison matrices

Mathematical and Computer Modelling: An International Journal

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Abstract

The efficiency of the Analytic Hierarchy Process can be improved if users can establish priorities without completing the entire set of pairwise comparisons. This study develops a methodology for predicting the consistency index and consistency ratio when pairwise comparisons are incomplete. Separate prediction equations are presented for each size of matrix from 5 to 10. These equations can be incorporated into AHP software so that users will have a predicted consistency ratio when making the decision to stop or proceed with more paired comparisons.