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Note on “Some models for deriving the priority weights from interval fuzzy preference relations”

Author

Listed:
  • Hu, Mingming
  • Ren, Peiyu
  • Lan, Jibin
  • Wang, Jun
  • Zheng, Weimin

Abstract

Deriving accurate interval weights from interval fuzzy preference relations is key to successfully solving decision making problems. Xu and Chen (2008) proposed a number of linear programming models to derive interval weights, but the definitions for the additive consistent interval fuzzy preference relation and the linear programming model still need to be improved. In this paper, a numerical example is given to show how these definitions and models can be improved to increase accuracy. A new additive consistency definition for interval fuzzy preference relations is proposed and novel linear programming models are established to demonstrate the generation of interval weights from an interval fuzzy preference relation.

Suggested Citation

  • Hu, Mingming & Ren, Peiyu & Lan, Jibin & Wang, Jun & Zheng, Weimin, 2014. "Note on “Some models for deriving the priority weights from interval fuzzy preference relations”," European Journal of Operational Research, Elsevier, vol. 237(2), pages 771-773.
    • Handle: RePEc:eee:ejores:v:237:y:2014:i:2:p:771-773
    DOI: 10.1016/j.ejor.2014.03.021
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    References listed on IDEAS

    as
    1. Xu, Zeshui & Chen, Jian, 2008. "Some models for deriving the priority weights from interval fuzzy preference relations," European Journal of Operational Research, Elsevier, vol. 184(1), pages 266-280, January.
    2. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
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    Cited by:

    1. Meng, Fanyong & Tan, Chunqiao & Chen, Xiaohong, 2017. "Multiplicative consistency analysis for interval fuzzy preference relations: A comparative study," Omega, Elsevier, vol. 68(C), pages 17-38.
    2. Xiao Tan & Zaiwu Gong & Minji Huang & Zhou-Jing Wang, 2017. "Selecting Cooking Methods to Decrease Persistent Organic Pollutant Concentrations in Food of Animal Origin Using a Consensus Decision-Making Model," IJERPH, MDPI, vol. 14(2), pages 1-18, February.
    3. Lidan Pei & Feifei Jin & Zhiwei Ni & Huayou Chen & Zhifu Tao, 2017. "An automatic iterative decision-making method for intuitionistic fuzzy linguistic preference relations," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(13), pages 2779-2793, October.
    4. Wang, Zhou-Jing & Li, Kevin W., 2015. "A multi-step goal programming approach for group decision making with incomplete interval additive reciprocal comparison matrices," European Journal of Operational Research, Elsevier, vol. 242(3), pages 890-900.
    5. Qingxian An & Fanyong Meng & Beibei Xiong, 2018. "Interval cross efficiency for fully ranking decision making units using DEA/AHP approach," Annals of Operations Research, Springer, vol. 271(2), pages 297-317, December.

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