The geometric consistency index: Approximated thresholds

Crawford and Williams [Journal of Mathematical Psychology 29 (1985) 387] suggested for the Row Geometric Mean Method (RGMM), one of the most extended AHP’s priorization procedure, a measure of the inconsistency based on stochastic properties of a subjacent model. In this paper, we formalize this inc...

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Bibliographic Details
Published in:European journal of operational research 2003-05, Vol.147 (1), p.137-145
Main Authors: Aguaron, Juan, Moreno-Jimenez, Jose Maria
Format: Article
Language:English
Subjects:
AHP
Consistency
Decision making
Geometric mean
Hierarchies
Methods
Multicriteria
Stochastic models
Studies
Thresholds
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Summary:Crawford and Williams [Journal of Mathematical Psychology 29 (1985) 387] suggested for the Row Geometric Mean Method (RGMM), one of the most extended AHP’s priorization procedure, a measure of the inconsistency based on stochastic properties of a subjacent model. In this paper, we formalize this inconsistency measure, hereafter called the Geometric Consistency Index (GCI), and provide the thresholds associated with it. These thresholds allow us an interpretation of the inconsistency tolerance level analogous to that proposed by Saaty [Multicriteria Decision Making: The Analytic Hierarchy Process, New York, 1980] for the Consistency Ratio (CR) used with the Right Eigenvector Method in Conventional-AHP.
ISSN:0377-2217
1872-6860
DOI:10.1016/S0377-2217(02)00255-2