Consistent weights for judgements matrices of the relative importance of alternatives

Authors:
J. Barzilai;W. D. Cook;B. Golany
Affiliations:
School of Business Administration, Dalhousie University, 6152 Coburg Road, Halifax, N.S., Canada B3H 1Z5;Faculty of Administrative Studies, York University, 4700 Keele Street, Downsview, Ont., Canada M3J 2R6;Center for Cybernetic Studies, The University of Texas, Austin, TX 78712, USA
Venue:
Operations Research Letters
Year:
1987

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Abstract

We prove that the only solution satisfying consistency axioms for the problem of retrieving weights from inconsistent judgements matrices whose entries are the relative importance ratios of alternatives is the geometric mean.