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Group Decision Making with Incomplete Interval-Valued Intuitionistic Preference Relations

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  • Zeshui Xu

    (Sichuan University)

  • Xiaoqiang Cai

    (The Chinese University of Hong Kong)

Abstract

Interval-valued intuitionistic preference relation (IV-IPR) is a new type of preference structure used to describe uncertain evaluation information in decision making process. In this paper, we first define the concept of IV-IPR with multiplicative transitivity, and then give a procedure to construct an IV-IPR with multiplicative transitivity from an incomplete IV-IPR with only known off-diagonal elements. We also extend this procedure to deal with more general cases with much more known evaluation information. Moreover, we develop an approach to group decision making with incomplete IV-IPRs, and finally give an actual application of our approach and compare it with the other approach in the existing literature.

Suggested Citation

  • Zeshui Xu & Xiaoqiang Cai, 2015. "Group Decision Making with Incomplete Interval-Valued Intuitionistic Preference Relations," Group Decision and Negotiation, Springer, vol. 24(2), pages 193-215, March.
    • Handle: RePEc:spr:grdene:v:24:y:2015:i:2:d:10.1007_s10726-014-9386-6
    DOI: 10.1007/s10726-014-9386-6
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    References listed on IDEAS

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    1. Fedrizzi, Michele & Giove, Silvio, 2007. "Incomplete pairwise comparison and consistency optimization," European Journal of Operational Research, Elsevier, vol. 183(1), pages 303-313, November.
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    Cited by:

    1. Shenghai Zhou & Xuanhua Xu & Yanju Zhou & Xiaohong Chen, 2017. "A Large Group Decision-Making Method Based on Fuzzy Preference Relation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 881-897, May.
    2. Jinpei Liu & Jingmiao Song & Qin Xu & Zhifu Tao & Huayou Chen, 2019. "Group decision making based on DEA cross-efficiency with intuitionistic fuzzy preference relations," Fuzzy Optimization and Decision Making, Springer, vol. 18(3), pages 345-370, September.
    3. Zhou-Jing Wang & Yuhong Wang & Kevin W. Li, 2016. "An Acceptable Consistency-Based Framework for Group Decision Making with Intuitionistic Preference Relations," Group Decision and Negotiation, Springer, vol. 25(1), pages 181-202, January.
    4. Zhen Zhang & Chonghui Guo, 2017. "Deriving priority weights from intuitionistic multiplicative preference relations under group decision-making settings," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(12), pages 1582-1599, December.
    5. Wan, Shuping & Wang, Feng & Dong, Jiuying, 2017. "Additive consistent interval-valued Atanassov intuitionistic fuzzy preference relation and likelihood comparison algorithm based group decision making," European Journal of Operational Research, Elsevier, vol. 263(2), pages 571-582.

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