A characterization of the Logarithmic Least Squares Method

László Csató

European Journal of Operational Research, 2019, vol. 276, issue 1, 212-216

Abstract: We provide an axiomatic characterization of the Logarithmic Least Squares Method (sometimes called row geometric mean), used for deriving a preference vector from a pairwise comparison matrix. This procedure is shown to be the only one satisfying two properties, correctness in the consistent case, which requires the reproduction of the inducing vector for any consistent matrix, and invariance to a specific transformation on a triad, that is, the weight vector is not influenced by an arbitrary multiplication of matrix elements along a 3-cycle by a positive scalar.

Keywords: Decision analysis; Pairwise comparisons; Geometric mean; Axiomatic approach; Characterization (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:276:y:2019:i:1:p:212-216

DOI: 10.1016/j.ejor.2018.12.046

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