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Prioritization and Aggregation of Intuitionistic Preference Relations: A Multiplicative-Transitivity-Based Transformation from Intuitionistic Judgment Data to Priority Weights

Author

Listed:
  • Yibin Zhang

    (Shanghai Lixin University of Commerce)

  • Kevin W. Li

    (University of Windsor
    Fuzhou University)

  • Zhou-Jing Wang

    (Zhejiang University of Finance and Economics)

Abstract

This article proposes a goal programming framework for deriving intuitionistic fuzzy weights from intuitionistic preference relations (IPRs). A new multiplicative transitivity is put forward to define consistent IPRs. By analyzing the relationship between intuitionistic fuzzy weights and multiplicative consistency, a transformation formula is introduced to convert normalized intuitionistic fuzzy weights into multiplicative consistent IPRs. By minimizing the absolute deviation between the original judgment and the converted multiplicative consistent IPR, two linear goal programming models are developed to obtain intuitionistic fuzzy weights from IPRs for both individual and group decisions. In the context of multicriteria decision making with a hierarchical structure, a linear program is established to obtain a unified criterion weight vector, which is then used to aggregate local intuitionistic fuzzy weights into global priority weights for final alternative ranking. Two numerical examples are furnished to show the validity and applicability of the proposed models.

Suggested Citation

  • Yibin Zhang & Kevin W. Li & Zhou-Jing Wang, 2017. "Prioritization and Aggregation of Intuitionistic Preference Relations: A Multiplicative-Transitivity-Based Transformation from Intuitionistic Judgment Data to Priority Weights," Group Decision and Negotiation, Springer, vol. 26(2), pages 409-436, March.
    • Handle: RePEc:spr:grdene:v:26:y:2017:i:2:d:10.1007_s10726-016-9503-9
    DOI: 10.1007/s10726-016-9503-9
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    References listed on IDEAS

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    3. Muhammad Akram & Maham Arshad, 2019. "A Novel Trapezoidal Bipolar Fuzzy TOPSIS Method for Group Decision-Making," Group Decision and Negotiation, Springer, vol. 28(3), pages 565-584, June.

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