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How to derive priorities in AHP: a comparative study

Author

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  • Alessio Ishizaka

    ()

  • Markus Lusti

    ()

Abstract

A heated discussion has arisen over the “best” priorities derivation method. Using a Monte Carlo simulation this article compares and evaluates the solutions of four AHP ratio scaling methods: the right eigenvalue method, the left eigenvalue method, the geometric mean and the mean of normalized values. Matrices with different dimensions and degree of impurities are randomly constructed. We observe a high level of agreement between the different scaling techniques. The number of ranking contradictions increases with the dimension of the matrix and the inconsistencies. However, these contradictions affect only close priorities. Copyright Springer-Verlag 2006

Suggested Citation

  • Alessio Ishizaka & Markus Lusti, 2006. "How to derive priorities in AHP: a comparative study," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 14(4), pages 387-400, December.
  • Handle: RePEc:spr:cejnor:v:14:y:2006:i:4:p:387-400
    DOI: 10.1007/s10100-006-0012-9
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    References listed on IDEAS

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    1. Takeda, E. & Cogger, K. O. & Yu, P. L., 1987. "Estimating criterion weights using eigenvectors: A comparative study," European Journal of Operational Research, Elsevier, vol. 29(3), pages 360-369, June.
    2. Golany, B. & Kress, M., 1993. "A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices," European Journal of Operational Research, Elsevier, vol. 69(2), pages 210-220, September.
    3. Brugha, Cathal M., 2000. "Relative measurement and the power function," European Journal of Operational Research, Elsevier, vol. 121(3), pages 627-640, March.
    4. Cook, Wade D. & Kress, Moshe, 1988. "Deriving weights from pairwise comparison ratio matrices: An axiomatic approach," European Journal of Operational Research, Elsevier, vol. 37(3), pages 355-362, December.
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    Citations

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    Cited by:

    1. Ishizaka, Alessio & Siraj, Sajid & Nemery, Philippe, 2016. "Which energy mix for the UK (United Kingdom)? An evolutive descriptive mapping with the integrated GAIA (graphical analysis for interactive aid)–AHP (analytic hierarchy process) visualization tool," Energy, Elsevier, vol. 95(C), pages 602-611.
    2. Lianmeng Jiao & Quan Pan & Yan Liang & Xiaoxue Feng & Feng Yang, 2016. "Combining sources of evidence with reliability and importance for decision making," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 24(1), pages 87-106, March.
    3. Corrente, Salvatore & Greco, Salvatore & Ishizaka, Alessio, 2016. "Combining analytical hierarchy process and Choquet integral within non-additive robust ordinal regression," Omega, Elsevier, vol. 61(C), pages 2-18.
    4. Kevin Miller & Gunjan Mansingh, 2017. "OptiPres: a distributed mobile agent decision support system for optimal patient drug prescription," Information Systems Frontiers, Springer, vol. 19(1), pages 129-148, February.
    5. Alessio Ishizaka & Dieter Balkenborg & Todd Kaplan, 2005. "Influence of aggregation and measurement scale on ranking a compromise alternative in AHP," Discussion Papers 0506, Exeter University, Department of Economics.
    6. repec:spr:annopr:v:248:y:2017:i:1:d:10.1007_s10479-016-2166-8 is not listed on IDEAS
    7. Siraj, Sajid & Mikhailov, Ludmil & Keane, John, 2012. "A heuristic method to rectify intransitive judgments in pairwise comparison matrices," European Journal of Operational Research, Elsevier, vol. 216(2), pages 420-428.
    8. Jana Krejčí & Jan Stoklasa, 2016. "Fuzzified AHP in the evaluation of scientific monographs," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 24(2), pages 353-370, June.
    9. repec:exl:1trans:v:10:y:2015:i:2:p:57-68 is not listed on IDEAS
    10. Konrad Kułakowski & Katarzyna Grobler-Dębska & Jarosław Wąs, 2015. "Heuristic rating estimation: geometric approach," Journal of Global Optimization, Springer, vol. 62(3), pages 529-543, July.
    11. Siraj, Sajid & Mikhailov, Ludmil & Keane, John A., 2015. "Contribution of individual judgments toward inconsistency in pairwise comparisons," European Journal of Operational Research, Elsevier, vol. 242(2), pages 557-567.
    12. repec:spr:cejnor:v:26:y:2018:i:1:d:10.1007_s10100-017-0486-7 is not listed on IDEAS

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