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DSmT-Based Group DEMATEL Method with Reaching Consensus

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  • Yuan-Wei Du

    (Ocean University of China
    Ministry of Education)

  • Wen Zhou

    (Ocean University of China)

Abstract

The decision-making trial and evaluation laboratory (DEMATEL) method employs expert assessments expressed by crisp values to construct a group initial direct-relation (IDR) matrix. However, it tends to be a low-precision expression, especially in complex practical problems. Although significant efforts have been made to improve the DEMATEL method, these improvements tend to neglect individual characteristics and group consensus, resulting in unconvincing decision results. This study provides a Dezert–Smarandache theory-based group DEMATEL method with reaching consensus. In order to reasonably determine the group IDR matrix, basic belief assignment function is employed to extract expert assessments and the proportional conflict redistribution rule no.5 of DSmT is employed to make fusion to derive the temporary group IDR matrix. Moreover, the consensus measures at both expert level and pair-factors level are calculated to determine whether the acceptable consensus level has been reached or not. If the required consensus level is not reached, a feedback mechanism will be activated to help experts reach a consensus. A consensus group IDR matrix for the group DEMATEL can be obtained with the help of feedback mechanism, based on which an algorithm is summarized for the proposed method to identify major factors in a complex system. Finally, numerical comparison and discussion are introduced to verify the effectiveness and applicability of the proposed method and algorithm.

Suggested Citation

  • Yuan-Wei Du & Wen Zhou, 2019. "DSmT-Based Group DEMATEL Method with Reaching Consensus," Group Decision and Negotiation, Springer, vol. 28(6), pages 1201-1230, December.
    • Handle: RePEc:spr:grdene:v:28:y:2019:i:6:d:10.1007_s10726-019-09641-6
    DOI: 10.1007/s10726-019-09641-6
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    References listed on IDEAS

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    1. Cui, Li & Chan, Hing Kai & Zhou, Yizhuo & Dai, Jing & Lim, Jia Jia, 2019. "Exploring critical factors of green business failure based on Grey-Decision Making Trial and Evaluation Laboratory (DEMATEL)," Journal of Business Research, Elsevier, vol. 98(C), pages 450-461.
    2. Cheng, Ching-Hsue & Lin, Yin, 2002. "Evaluating the best main battle tank using fuzzy decision theory with linguistic criteria evaluation," European Journal of Operational Research, Elsevier, vol. 142(1), pages 174-186, October.
    3. Saaty, Thomas L., 2003. "Decision-making with the AHP: Why is the principal eigenvector necessary," European Journal of Operational Research, Elsevier, vol. 145(1), pages 85-91, February.
    4. Michnik, Jerzy, 2013. "Weighted Influence Non-linear Gauge System (WINGS) – An analysis method for the systems of interrelated components," European Journal of Operational Research, Elsevier, vol. 228(3), pages 536-544.
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