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The geometric consistency index: approximated thresholds. (English) Zbl 1060.90657
Summary: G. Crawford and C. Williams [J. Math. Psychol. 29, 387–405 (1985; Zbl 0585.62183)] 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 T. L. Saaty [Multicriteria decision making: the Analytic Hierarchy Process, New York (1980; Zbl 0587.90002)] for the Consistency Ratio (CR) used with the Right Eigenvector Method in Conventional-AHP.

MSC:
90B50 Management decision making, including multiple objectives
62P15 Applications of statistics to psychology
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