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Checking and adjusting order-consistency of linguistic pairwise comparison matrices for getting transitive preference relations

Author

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  • Wu-E Yang

    (Hunan University
    Central South University of Forestry and Technology
    Hunan Provincial Engineering Laboratory of Risk Management and Control Techniques for the Innovative Enterprises)

  • Chao-Qun Ma

    (Hunan University)

  • Zhi-Qiu Han

    (Central South University)

  • Wen-Jun Chen

    (Central South University of Forestry and Technology
    Hunan Provincial Engineering Laboratory of Risk Management and Control Techniques for the Innovative Enterprises)

Abstract

Linguistic pairwise comparison matrices for decision-making need to be (strongly) order-consistent, which means the judgments should be (strongly) transitive. We introduce the equivalent conditions of (strong) transitivity by using route matrices and digraphs and develop an adjustment procedure to help decision makers correcting the inconsistency. The conclusion can extend to other ordinal-scaled or numerical comparison matrices as well.

Suggested Citation

  • Wu-E Yang & Chao-Qun Ma & Zhi-Qiu Han & Wen-Jun Chen, 2016. "Checking and adjusting order-consistency of linguistic pairwise comparison matrices for getting transitive preference relations," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(3), pages 769-787, July.
    • Handle: RePEc:spr:orspec:v:38:y:2016:i:3:d:10.1007_s00291-015-0417-8
    DOI: 10.1007/s00291-015-0417-8
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    References listed on IDEAS

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    Cited by:

    1. Fu, Chao & Chang, Wenjun & Xue, Min & Yang, Shanlin, 2019. "Multiple criteria group decision making with belief distributions and distributed preference relations," European Journal of Operational Research, Elsevier, vol. 273(2), pages 623-633.

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