Mathematical Support for the Geometric Mean when Deriving a Consistent Matrix from a Pairwise Ratio Matrix

• Autorzy: Choo E. U. , Wedley W. C. , Wijnmalen D. J. D.

Identyfikatory

DOI

10.3233/FI-2016-1334

• Języki publikacji: EN

Abstrakty

EN

A ratio pairwise comparison matrix estimates another matrix of true ratios between objects. From the pairwise comparison matrix, various methods are used to derive a priority vector and associated consistent matrix that also estimates the matrix of true ratios. The distance from the consistent matrix and the true matrix measures the accuracy of a method. The geometric mean is shown to be the only method with error below a basic threshold while being invariant to any reordering and rescaling of columns. Besides being simple to calculate, the geometric mean has excellent performance and many desirable properties.

Słowa kluczowe

EN

ratio scale preferences; pairwise ratio comparisons; relevant ratio information

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2016
• Tom: Vol. 144, nr 3/4
• Strony: 263--278
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Choo E. U.

• Beedie School of Business, Simon Fraser University, Burnaby, B.C., Canada

autor

Wedley W. C.

• Beedie School of Business, Simon Fraser University, Burnaby, B.C., Canada

autor

Wijnmalen D. J. D.

• TNO Organisation for Applied Scientific Research, The Hague, The Netherlands

Bibliografia

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