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Fuzzy Group Decision Making Model Based On Credibility Theory And Gray Relative Degree

Author

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  • CONGJUN RAO

    (Institute of Systems Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China;
    College of Mathematics and information Science, Huanggang Normal University, Huanggang 438000, P. R. China)

  • JIN PENG

    (College of Mathematics and information Science, Huanggang Normal University, Huanggang 438000, P. R. China)

Abstract

In this paper, the problems of fuzzy multi-attribute group decision making in which the attribute values are given in the form of linguistic fuzzy numbers are studied. First of all, a new method called fuzzy dominance is given for ranking trapezoidal fuzzy numbers based on the credibility theory. Then the TOWA operator is presented to aggregate the trapezoidal fuzzy numbers. Furthermore, a new model is presented for the problems of fuzzy multi-attribute group decision making via TOWA operator, fuzzy dominance method and gray relative degree. Finally, a decision-making example is given to demonstrate the feasibility and rationality of this new model.

Suggested Citation

  • Congjun Rao & Jin Peng, 2009. "Fuzzy Group Decision Making Model Based On Credibility Theory And Gray Relative Degree," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 8(03), pages 515-527.
    • Handle: RePEc:wsi:ijitdm:v:08:y:2009:i:03:n:s0219622009003533
    DOI: 10.1142/S0219622009003533
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    Citations

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    Cited by:

    1. Congjun Rao & Yong Zhao & Junjun Zheng & Mark Goh & Cheng Wang, 2017. "Bidding Behavior and Equilibrium Excursion of Uniform Price Auction Mechanism," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(06), pages 1-17, December.
    2. Xiaoyang Zhou & Yan Tu & Jing Han & Jiuping Xu & Xionghui Ye, 2017. "A Class of Level-2 Fuzzy Decision-Making Model with Expected Objectives and Chance Constraints: Application to Supply Chain Network Design," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 907-938, July.
    3. Congjun Rao & Mark Goh & Junjun Zheng, 2017. "Decision Mechanism for Supplier Selection Under Sustainability," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 87-115, January.
    4. R. A. Aliev & O. H. Huseynov & R. Serdaroglu, 2016. "Ranking of Z-Numbers and Its Application in Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(06), pages 1503-1519, November.
    5. Fu-Ling Cai & Xiuwu Liao & Kan-Liang Wang, 2012. "An interactive sorting approach based on the assignment examples of multiple decision makers with different priorities," Annals of Operations Research, Springer, vol. 197(1), pages 87-108, August.

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