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A Partial-Consensus Posterior-Aggregation FAHP Method—Supplier Selection Problem as an Example

Author

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  • Yu-Cheng Wang

    (Department of Industrial Engineering and Management, Chaoyang University of Technology, Taichung 41349, Taiwan)

  • Tin-Chih Toly Chen

    (Department of Industrial Engineering and Management, National Chiao Tung University, 1001, University Road, Hsinchu 300, Taiwan)

Abstract

Existing fuzzy analytic hierarchy process (FAHP) methods usually aggregate the fuzzy pairwise comparison results produced by multiple decision-makers (DMs) rather than the fuzzy weights estimations. This is problematic because fuzzy pairwise comparison results are subject to uncertainty and lack consensus. To address this problem, a partial-consensus posterior-aggregation FAHP (PCPA-FAHP) approach is proposed in this study. The PCPA-FAHP approach seeks a partial consensus among most DMs instead of an overall consensus among all DMs, thereby increasing the possibility of reaching a consensus. Subsequently, the aggregation result is defuzzified using the prevalent center-of-gravity method. The PCPA-FAHP approach was applied to a supplier selection problem to validate its effectiveness. According to the experimental results, the PCPA-FAHP approach not only successfully found out the partial consensus among the DMs, but also shrunk the widths of the estimated fuzzy weights to enhance the precision of the FAHP analysis.

Suggested Citation

  • Yu-Cheng Wang & Tin-Chih Toly Chen, 2019. "A Partial-Consensus Posterior-Aggregation FAHP Method—Supplier Selection Problem as an Example," Mathematics, MDPI, vol. 7(2), pages 1-15, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:179-:d:206243
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    References listed on IDEAS

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    1. Forman, Ernest & Peniwati, Kirti, 1998. "Aggregating individual judgments and priorities with the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 108(1), pages 165-169, July.
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    4. Toly Chen, 2013. "Foreign exchange rate forecasting with a virtual-expert partial-consensus fuzzy-neural approach for semiconductor manufacturers in Taiwan," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 13(1), pages 73-91.
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    Cited by:

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    6. Hsin-Chieh Wu & Toly Chen & Chin-Hau Huang, 2020. "A Piecewise Linear FGM Approach for Efficient and Accurate FAHP Analysis: Smart Backpack Design as an Example," Mathematics, MDPI, vol. 8(8), pages 1-18, August.
    7. Hsin-Chieh Wu & Yu-Cheng Wang & Tin-Chih Toly Chen, 2020. "Assessing and Comparing COVID-19 Intervention Strategies Using a Varying Partial Consensus Fuzzy Collaborative Intelligence Approach," Mathematics, MDPI, vol. 8(10), pages 1-23, October.

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