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A Multiple Attribute Decision-Making Method Based On Free Double Hierarchy Hesitant Fuzzy Linguistic Information Considering the Prioritized and Interactive Attributes

Author

Listed:
  • Peide Liu

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China)

  • Mengjiao Shen

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China)

  • Fei Teng

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China)

  • Baoying Zhu

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China)

  • Lili Rong

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, P. R. China)

Abstract

As the development and extension of hesitant fuzzy linguistic term sets (HFLTSs), free double hierarchy hesitant fuzzy linguistic term sets (FDHHFLTSs) can describe the evaluation information in more detail. In addition, in practical multiple attribute decision-making (MADM) problems, priority relations and interaction relations usually exist among attributes, and the prioritized interactive Choquet (PIC) operator based on generalized prioritized measure-guided aggregation (GPMGA) operator and Choquet integral (CI) operator is an effective tool for dealing with decision-making problems with priority relations and interaction relations. Under the above contexts, we improve the PIC operator and propose the FDHHFLPIC operator which can aggregate the evaluation information under free double hesitant fuzzy linguistic environment and take both priority and interaction relations into account. Furthermore, we propose an approach based on the FDHHFLPIC operators to address the real MADM problem, and the proposed method considering the different relations between attributes in decision-making process. Finally, two numerical examples are given to demonstrate the effectiveness and advantages of the proposed method which can consider priority relations and interaction relations under the FDHHFLTSs.

Suggested Citation

  • Peide Liu & Mengjiao Shen & Fei Teng & Baoying Zhu & Lili Rong, 2021. "A Multiple Attribute Decision-Making Method Based On Free Double Hierarchy Hesitant Fuzzy Linguistic Information Considering the Prioritized and Interactive Attributes," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 225-259, January.
    • Handle: RePEc:wsi:ijitdm:v:20:y:2021:i:01:n:s0219622020500467
    DOI: 10.1142/S0219622020500467
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