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A note on consistency improvements of AHP paired comparison data

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  • Wolfgang Gaul

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  • Dominic Gastes

    ()

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    Abstract

    The Analytic Hierarchy Process (AHP) is a popular multicriteria decision-making approach but the ease of AHP paired comparison data collection entails the problem that consistency restrictions have to be fulfilled for the data evaluation task. Quite a lot of consistency improvement techniques are available, however, this note explains why consistency adjustments are not necessarily helpful for computing acceptable weights for the determination of the underlying overall objective function. Copyright Springer-Verlag Berlin Heidelberg 2012

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    File URL: http://hdl.handle.net/10.1007/s11634-012-0119-x
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    Bibliographic Info

    Article provided by Springer in its journal Advances in Data Analysis and Classification.

    Volume (Year): 6 (2012)
    Issue (Month): 4 (December)
    Pages: 289-302

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    Handle: RePEc:spr:advdac:v:6:y:2012:i:4:p:289-302

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    Web page: http://www.springer.com/statistics/statistical+theory+and+methods/journal/11634

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    Related research

    Keywords: Analytic Hierarchy Process; Consistency improvement ; Multicriteria decision-making; Paired comparison data; 15A18; 62J15; 68R10; 90B50; 91B06;

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    1. Dong, Yucheng & Xu, Yinfeng & Li, Hongyi & Dai, Min, 2008. "A comparative study of the numerical scales and the prioritization methods in AHP," European Journal of Operational Research, Elsevier, vol. 186(1), pages 229-242, April.
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    4. Saaty, Thomas L., 2003. "Decision-making with the AHP: Why is the principal eigenvector necessary," European Journal of Operational Research, Elsevier, vol. 145(1), pages 85-91, February.
    5. Liang, Liang & Wang, Guohua & Hua, Zhongsheng & Zhang, Bin, 2008. "Mapping verbal responses to numerical scales in the analytic hierarchy process," Socio-Economic Planning Sciences, Elsevier, vol. 42(1), pages 46-55, March.
    6. Zeshui, Xu & Cuiping, Wei, 1999. "A consistency improving method in the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 116(2), pages 443-449, July.
    7. Finan, J. S. & Hurley, W. J., 1999. "Transitive calibration of the AHP verbal scale," European Journal of Operational Research, Elsevier, vol. 112(2), pages 367-372, January.
    8. Ho, William, 2008. "Integrated analytic hierarchy process and its applications - A literature review," European Journal of Operational Research, Elsevier, vol. 186(1), pages 211-228, April.
    9. Ho, William & Xu, Xiaowei & Dey, Prasanta K., 2010. "Multi-criteria decision making approaches for supplier evaluation and selection: A literature review," European Journal of Operational Research, Elsevier, vol. 202(1), pages 16-24, April.
    10. Carmone, Frank J. & Kara, Ali & Zanakis, Stelios H., 1997. "A Monte Carlo investigation of incomplete pairwise comparison matrices in AHP," European Journal of Operational Research, Elsevier, vol. 102(3), pages 538-553, November.
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