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A statistical approach to measure the consistency level of the pairwise comparison matrix

Author

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  • Changsheng Lin

    (1] University of Electronic Science and Technology of China, Chengdu, China[2] Yangtze Normal University, Chongqing, China)

  • Gang Kou

    (Southwestern University of Finance and Economics, Chengdu, China)

  • Daji Ergu

    (Southwest University for Nationalities, Chengdu, China)

Abstract

The consistency of the pairwise comparison matrix (PCM) has been extensively studied in the Analytic Hierarchy Process. Most of the existing approaches for the consistency test of the PCM are based on the consistency ratio threshold (0.1) introduced by Saaty (1977). To accurately measure the consistency level of the PCM, a statistical approach based on the significance level is proposed in this paper by combining the hypothesis test and the random consistency index. The proposed statistical approach is applied to an education evaluation problem in order to demonstrate the rationality and reliability of it.

Suggested Citation

  • Changsheng Lin & Gang Kou & Daji Ergu, 2014. "A statistical approach to measure the consistency level of the pairwise comparison matrix," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(9), pages 1380-1386, September.
    • Handle: RePEc:pal:jorsoc:v:65:y:2014:i:9:p:1380-1386
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    Cited by:

    1. Yongming Song & Jun Hu, 2017. "Vector similarity measures of hesitant fuzzy linguistic term sets and their applications," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-13, December.
    2. Mausumi Bose & Rahul Mukerjee, 2021. "Shorter prediction intervals for anonymous individual assessments in group decision-making via pairwise comparisons," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(3), pages 833-857, October.
    3. 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.
    4. Virgilio López-Morales & Joel Suárez-Cansino, 2017. "Reliable Intervals Method in Decision-Based Support Models for Group Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 183-204, January.
    5. Rossetto, Marisa & Bitetto, Isabella & Spedicato, Maria Teresa & Lembo, Giuseppe & Gambino, Monica & Accadia, Paolo & Melià, Paco, 2015. "Multi-criteria decision-making for fisheries management: A case study of Mediterranean demersal fisheries," Marine Policy, Elsevier, vol. 53(C), pages 83-93.
    6. Ágoston, Kolos Csaba & Csató, László, 2022. "Inconsistency thresholds for incomplete pairwise comparison matrices," Omega, Elsevier, vol. 108(C).

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