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Determining attribute weights using mathematical programming

Author

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  • Shirland, Larry E.
  • Jesse, Richard R.
  • Thompson, Ronald L.
  • Iacovou, Charalambos L.

Abstract

Group decisions are an important element of successful knowledge management in organizations. Such decisions are difficult to make, however, especially when they involve a large set of attributes that require decision-makers to develop rankings. This paper presents a goal programming model for determining constrained regression estimates of attribute weights. The model is developed using pair-wise comparison ratings that are derived by using triads of the attributes. In addition, metrics are presented for measuring individual and group consensus. A specific application to the health care industry is presented to illustrate results that are obtained from the model.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jomega:v:31:y:2003:i:6:p:423-437
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Poyhonen, Mari & Hamalainen, Raimo P., 2001. "On the convergence of multiattribute weighting methods," European Journal of Operational Research, Elsevier, vol. 129(3), pages 569-585, March.
    4. Robert T. Eckenrode, 1965. "Weighting Multiple Criteria," Management Science, INFORMS, vol. 12(3), pages 180-192, November.
    5. Holzworth, R. James, 1996. "Policy Capturing with Ridge Regression," Organizational Behavior and Human Decision Processes, Elsevier, vol. 68(2), pages 171-179, November.
    6. Paul J. H. Schoemaker & C. Carter Waid, 1982. "An Experimental Comparison of Different Approaches to Determining Weights in Additive Utility Models," Management Science, INFORMS, vol. 28(2), pages 182-196, February.
    7. Joyce, Ej, 1976. "Expert Judgment In Audit Program Planning," Journal of Accounting Research, Wiley Blackwell, vol. 14, pages 29-60.
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    Cited by:

    1. Zhang, Zhi-Gang & Hu, Xiao & Liu, Zhao-Ting & Zhao, Lu-Tao, 2021. "Multi-attribute decision making: An innovative method based on the dynamic credibility of experts," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    2. 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.
    3. 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.
    4. Yang, Guo-liang & Yang, Jian-Bo & Xu, Dong-Ling & Khoveyni, Mohammad, 2017. "A three-stage hybrid approach for weight assignment in MADM," Omega, Elsevier, vol. 71(C), pages 93-105.
    5. Doan, N.A.V. & De Smet, Y., 2018. "An alternative weight sensitivity analysis for PROMETHEE II rankings," Omega, Elsevier, vol. 80(C), pages 166-174.
    6. Jessop, Alan, 2014. "IMP: A decision aid for multiattribute evaluation using imprecise weight estimates," Omega, Elsevier, vol. 49(C), pages 18-29.
    7. Zeng, Shouzhen & Streimikiene, Dalia & Baležentis, Tomas, 2017. "Review of and comparative assessment of energy security in Baltic States," Renewable and Sustainable Energy Reviews, Elsevier, vol. 76(C), pages 185-192.
    8. József Temesi, 2011. "Pairwise comparison matrices and the error-free property of the decision maker," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(2), pages 239-249, June.

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