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Scale transitivity in the AHP

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  • P Ji

    (The Hong Kong Polytechnic University, Hung Hom)

  • R Jiang

    (The Hong Kong Polytechnic University, Hung Hom)

Abstract

Transitivity is important in multicriteria decision-making. The analytic hierarchy process (AHP), as one of the widely used decision analysis tools, is criticized since it suffers from scale intransitivity. This paper first reviews and compares different scales from different aspects, then discusses the transitivity of AHP scales and derives a scale based on the transitivity, so it is naturally transitive. Besides, two approaches are provided to determine the scale parameter for the derived transitive scale. In order to deal with the transitivity problem, the AHP provides a consistency index for testing pairwise comparison consistency. So, finally, this paper proposes a consistency measure to reflect the judgmental inconsistency.

Suggested Citation

  • P Ji & R Jiang, 2003. "Scale transitivity in the AHP," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(8), pages 896-905, August.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:8:d:10.1057_palgrave.jors.2601557
    DOI: 10.1057/palgrave.jors.2601557
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    References listed on IDEAS

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    Cited by:

    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.
    2. Ardalan Bafahm & Minghe Sun, 2019. "Some Conflicting Results in the Analytic Hierarchy Process," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(02), pages 465-486, March.
    3. Hugo Bois, 2016. "A New Behavioral Framework to Analyze Preferences Construction and Decision Processes Within The Modal Choice," Working Papers hal-04141584, HAL.
    4. Changsheng Lin & Gang Kou & Daji Ergu, 2013. "An improved statistical approach for consistency test in AHP," Annals of Operations Research, Springer, vol. 211(1), pages 289-299, December.
    5. Jiang, R. & Chen, Zhigao, 2020. "A standard-based approach for multi-criteria performance evaluation of engineered systems," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    6. Jih-Jeng Huang, 2021. "Analytic Hierarchy Process with the Correlation Effect via WordNet," Mathematics, MDPI, vol. 9(8), pages 1-13, April.
    7. Waldemar W. Koczkodaj & Konrad Kułakowski & Antoni Ligęza, 2014. "On the quality evaluation of scientific entities in Poland supported by consistency-driven pairwise comparisons method," Scientometrics, Springer;Akadémiai Kiadó, vol. 99(3), pages 911-926, June.
    8. Dong, Yucheng & Hong, Wei-Chiang & Xu, Yinfeng & Yu, Shui, 2013. "Numerical scales generated individually for analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 229(3), pages 654-662.

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