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Risk Based Weight Determination in Multiple Criteria Decision Making

Author

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  • Yin Liu

    (Nanjing Xiaozhuang University
    Hefei University of Technology
    Ministry of Education
    Ministry of Education Engineering Research Center for Intelligent Decision-Making and Information System Technologies)

Abstract

The criterion weight (CW) is an important concept in multiple criterion decision making. Existing studies focus on determining CWs subjectively from the judgments of a decision maker or objectively from a decision matrix. Little attention is paid to determining CWs from the subjective judgments and the risk attitude of a decision maker (DM). To address this issue, this paper proposes a risk-based decision method. On the condition that the bounded constraints on CWs are provided by a DM, the constraints are updated in accordance with the risk attitude of the DM. Within the region formed by the bounded constraints on CWs, the differences between CWs and those associated with each alternative and the risk attitude of the DM are minimized. To guarantee the minimum differences, the minimum and maximum values of expected utility of each alternative are obtained to generate a solution. The effectiveness and applicability of the proposed method are verified by analyzing the control mode selection problem of an enterprise in Changzhou, Jiangsu Province of China.

Suggested Citation

  • Yin Liu, 2025. "Risk Based Weight Determination in Multiple Criteria Decision Making," Group Decision and Negotiation, Springer, vol. 34(1), pages 69-104, February.
    • Handle: RePEc:spr:grdene:v:34:y:2025:i:1:d:10.1007_s10726-024-09905-w
    DOI: 10.1007/s10726-024-09905-w
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    References listed on IDEAS

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    1. Shirland, Larry E. & Jesse, Richard R. & Thompson, Ronald L. & Iacovou, Charalambos L., 2003. "Determining attribute weights using mathematical programming," Omega, Elsevier, vol. 31(6), pages 423-437, December.
    2. Ralph L. Keeney, 2002. "Common Mistakes in Making Value Trade-Offs," Operations Research, INFORMS, vol. 50(6), pages 935-945, December.
    3. Chao Fu & Dong-Ling Xu, 2016. "Determining attribute weights to improve solution reliability and its application to selecting leading industries," Annals of Operations Research, Springer, vol. 245(1), pages 401-426, October.
    4. Dong, You & Frangopol, Dan M. & Sabatino, Samantha, 2016. "A decision support system for mission-based ship routing considering multiple performance criteria," Reliability Engineering and System Safety, Elsevier, vol. 150(C), pages 190-201.
    5. Fu, Chao & Yang, Jian-Bo & Yang, Shan-Lin, 2015. "A group evidential reasoning approach based on expert reliability," European Journal of Operational Research, Elsevier, vol. 246(3), pages 886-893.
    6. Jyrki Wallenius & James S. Dyer & Peter C. Fishburn & Ralph E. Steuer & Stanley Zionts & Kalyanmoy Deb, 2008. "Multiple Criteria Decision Making, Multiattribute Utility Theory: Recent Accomplishments and What Lies Ahead," Management Science, INFORMS, vol. 54(7), pages 1336-1349, July.
    7. Horowitz, I. & Zappe, C., 1995. "The linear programming alternative to policy capturing for eliciting criteria weights in the performance appraisal process," Omega, Elsevier, vol. 23(6), pages 667-676, December.
    8. Ilia Tsetlin & Robert L. Winkler, 2009. "Multiattribute Utility Satisfying a Preference for Combining Good with Bad," Management Science, INFORMS, vol. 55(12), pages 1942-1952, December.
    9. Wang, Ying-Ming & Yang, Jian-Bo & Xu, Dong-Ling & Chin, Kwai-Sang, 2006. "The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees," European Journal of Operational Research, Elsevier, vol. 175(1), pages 35-66, November.
    10. Jiamin Wang, 2012. "Robust optimization analysis for multiple attribute decision making problems with imprecise information," Annals of Operations Research, Springer, vol. 197(1), pages 109-122, August.
    11. Butler, John & Jia, Jianmin & Dyer, James, 1997. "Simulation techniques for the sensitivity analysis of multi-criteria decision models," European Journal of Operational Research, Elsevier, vol. 103(3), pages 531-546, December.
    12. Ma, Jian & Fan, Zhi-Ping & Huang, Li-Hua, 1999. "A subjective and objective integrated approach to determine attribute weights," European Journal of Operational Research, Elsevier, vol. 112(2), pages 397-404, January.
    13. Yang, J.B. & Wang, Y.M. & Xu, D.L. & Chin, K.S., 2006. "The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties," European Journal of Operational Research, Elsevier, vol. 171(1), pages 309-343, May.
    14. Dong, Yucheng & Liu, Yating & Liang, Haiming & Chiclana, Francisco & Herrera-Viedma, Enrique, 2018. "Strategic weight manipulation in multiple attribute decision making," Omega, Elsevier, vol. 75(C), pages 154-164.
    15. Bottomley, Paul A. & Doyle, John R., 2001. "A comparison of three weight elicitation methods: good, better, and best," Omega, Elsevier, vol. 29(6), pages 553-560, December.
    16. Xu, Dong-Ling & Yang, Jian-Bo & Wang, Ying-Ming, 2006. "The evidential reasoning approach for multi-attribute decision analysis under interval uncertainty," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1914-1943, November.
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