Efficacy Analysis of Ratios from Pairwise Comparisons

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

Identyfikatory

DOI

10.3233/FI-2016-1389

• Języki publikacji: EN

Abstrakty

EN

The true pairwise comparison matrix is simulated and used as a benchmark for evaluating different priority vectors derived from a decision maker’s pairwise comparison matrix. The accuracy of the decision maker’s comparisons are progressively improved until they emulate the true values. Using four different distance measures to evaluate five different methods of deriving priorities, the geometric mean, normalized column mean, and right eigenvector techniques are more accurate. All methods exhibit rare reversals in accuracy as the comparison values approach the true values.

Słowa kluczowe

EN

ratio comparison matrices; accuracy; priority vector

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2016
• Tom: Vol. 146, nr 3
• Strony: 321--338
• Opis fizyczny: Bibliogr. 7 poz., rys., tab.

Twórcy

autor

Wedley W. C.

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

autor

Choo E. U.

• 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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• [3] Choo EU, Wedley WC. Estimating Ratio Scale Values when Units are Unspecified. Computers and Industrial Engineering Journal 2010;59:200-208. doi:10.1016/j.cie.2010.04.001.
• [4] Lin CC. A revised framework for deriving preference values from pairwise comparison matrices, European Journal of Operational Research 2007:176:1145-1150. doi:10.1016/j.ejor.2005.09.022.
• [5] Saaty TL. A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, 1977;150:234-281. doi:10.1016/0022-2496(77)90033-5.
• [6] Saaty TL. Decision-making with the AHP: Why is the principal eigenvector necessary? European Journal of Operational Research, 2003;145:85-91. doi:10.1016/S0377-2217(02)00227-8.
• [7] Saaty TL. Relative measurement and its generalization in decision-making – Why pairwise comparisons are central in mathematics for the measurement of intangible factors: The Analytic Hierarchy/Network Process. RACSAM, Revista de la Real Academia de Ciencias Serie A: Matemáticas, 2008;102(2):251-318. doi:10.1007/BF03191825.