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An improved statistical approach for consistency test in AHP

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  • Changsheng Lin
  • Gang Kou
  • Daji Ergu

Abstract

The pair-wise comparison matrix (PCM) is widely used in multi-criteria decision making methods. If the PCM is inconsistent, the resulting priority vector is not reliable. Hence, it is necessary to measure the level of the inconsistency of the PCM. There are two approaches for testing the consistency of the PCM: deterministic approaches and statistical or stochastic approaches. In this paper, an improved statistical approach to test the consistency of the PCM is proposed, which combines hypothesis test and maximum likelihood estimation. The proposed statistical approach is flexible and reliable because it sets a suitable significance level according to different situations. Two numerical examples are introduced to illustrate the proposed statistical approach. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • 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.
    • Handle: RePEc:spr:annopr:v:211:y:2013:i:1:p:289-299:10.1007/s10479-013-1413-5
    DOI: 10.1007/s10479-013-1413-5
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    References listed on IDEAS

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    Cited by:

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    3. Meimei Xia & Jian Chen & Juliang Zhang, 2015. "Multi-criteria decision making based on relative measures," Annals of Operations Research, Springer, vol. 229(1), pages 791-811, June.
    4. Ohunakin, Olayinka S. & Adaramola, Muyiwa S. & Oyewola, Olanrewaju. M. & Fagbenle, Richard O., 2014. "Solar energy applications and development in Nigeria: Drivers and barriers," Renewable and Sustainable Energy Reviews, Elsevier, vol. 32(C), pages 294-301.
    5. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez, 2016. "The precise consistency consensus matrix in a local AHP-group decision making context," Annals of Operations Research, Springer, vol. 245(1), pages 245-259, October.
    6. Vladimír Bureš & Jiří Cabal & Pavel Čech & Karel Mls & Daniela Ponce, 2020. "The Influence of Criteria Selection Method on Consistency of Pairwise Comparison," Mathematics, MDPI, vol. 8(12), pages 1-13, December.
    7. Kun Chen & Gang Kou & J. Michael Tarn & Yan Song, 2015. "Bridging the gap between missing and inconsistent values in eliciting preference from pairwise comparison matrices," Annals of Operations Research, Springer, vol. 235(1), pages 155-175, December.
    8. Mohd. Sadiq & Mohd. Sadim & Azra Parveen, 2021. "Applying statistical approach to check the consistency of pairwise comparison matrices during software requirements prioritization process," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(3), pages 451-460, June.
    9. Al-Kayiem, Hussain H. & Aja, Ogboo Chikere, 2016. "Historic and recent progress in solar chimney power plant enhancing technologies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 58(C), pages 1269-1292.
    10. Kou, Gang & Lin, Changsheng, 2014. "A cosine maximization method for the priority vector derivation in AHP," European Journal of Operational Research, Elsevier, vol. 235(1), pages 225-232.
    11. Pietro Amenta & Alessio Ishizaka & Antonio Lucadamo & Gabriella Marcarelli & Vijay Vyas, 2020. "Computing a common preference vector in a complex multi-actor and multi-group decision system in Analytic Hierarchy Process context," Annals of Operations Research, Springer, vol. 284(1), pages 33-62, January.
    12. Matteo Brunelli, 2017. "Studying a set of properties of inconsistency indices for pairwise comparisons," Annals of Operations Research, Springer, vol. 248(1), pages 143-161, January.
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    14. Pelin Toktaş & Gülin Feryal Can, 2019. "Stochastic KEMIRA-M Approach with Consistent Weightings," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 793-831, May.

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