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Parameter estimation based on interval-valued belief structures

Author

Listed:
  • Deng, Xinyang
  • Hu, Yong
  • Chan, Felix T.S.
  • Mahadevan, Sankaran
  • Deng, Yong

Abstract

Parameter estimation based on uncertain data represented as belief structures is one of the latest problems in the Dempster–Shafer theory. In this paper, a novel method is proposed for the parameter estimation in the case where belief structures are uncertain and represented as interval-valued belief structures. Within our proposed method, the maximization of likelihood criterion and minimization of estimated parameter’s uncertainty are taken into consideration simultaneously. As an illustration, the proposed method is employed to estimate parameters for deterministic and uncertain belief structures, which demonstrates its effectiveness and versatility.

Suggested Citation

  • Deng, Xinyang & Hu, Yong & Chan, Felix T.S. & Mahadevan, Sankaran & Deng, Yong, 2015. "Parameter estimation based on interval-valued belief structures," European Journal of Operational Research, Elsevier, vol. 241(2), pages 579-582.
    • Handle: RePEc:eee:ejores:v:241:y:2015:i:2:p:579-582
    DOI: 10.1016/j.ejor.2014.10.002
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    References listed on IDEAS

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    1. Guo, Peijun & Tanaka, Hideo, 2010. "Decision making with interval probabilities," European Journal of Operational Research, Elsevier, vol. 203(2), pages 444-454, June.
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    3. Yang, Guo-liang & Yang, Jian-bo & Liu, Wen-bin & Li, Xiao-xuan, 2013. "Cross-efficiency aggregation in DEA models using the evidential-reasoning approach," European Journal of Operational Research, Elsevier, vol. 231(2), pages 393-404.
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    Cited by:

    1. Deng, Xinyang & Liu, Qi & Deng, Yong, 2016. "Matrix games with payoffs of belief structures," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 868-879.

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