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Linguistic hesitant fuzzy multi-criteria decision-making method based on evidential reasoning

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  • Huan Zhou
  • Jian-qiang Wang
  • Hong-yu Zhang
  • Xiao-hong Chen

Abstract

Linguistic hesitant fuzzy sets (LHFSs), which can be used to represent decision-makers’ qualitative preferences as well as reflect their hesitancy and inconsistency, have attracted a great deal of attention due to their flexibility and efficiency. This paper focuses on a multi-criteria decision-making approach that combines LHFSs with the evidential reasoning (ER) method. After reviewing existing studies of LHFSs, a new order relationship and Hamming distance between LHFSs are introduced and some linguistic scale functions are applied. Then, the ER algorithm is used to aggregate the distributed assessment of each alternative. Subsequently, the set of aggregated alternatives on criteria are further aggregated to get the overall value of each alternative. Furthermore, a nonlinear programming model is developed and genetic algorithms are used to obtain the optimal weights of the criteria. Finally, two illustrative examples are provided to show the feasibility and usability of the method, and comparison analysis with the existing method is made.

Suggested Citation

  • Huan Zhou & Jian-qiang Wang & Hong-yu Zhang & Xiao-hong Chen, 2016. "Linguistic hesitant fuzzy multi-criteria decision-making method based on evidential reasoning," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(2), pages 314-327, January.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:2:p:314-327
    DOI: 10.1080/00207721.2015.1042089
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    Citations

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    Cited by:

    1. Dheeraj Kumar Joshi & Ismat Beg & Sanjay Kumar, 2018. "Hesitant Probabilistic Fuzzy Linguistic Sets with Applications in Multi-Criteria Group Decision Making Problems," Mathematics, MDPI, vol. 6(4), pages 1-20, March.
    2. Huan Zhou & Jing Wang & Xin-E. Li & Jian-qiang Wang, 2016. "Intuitionistic hesitant linguistic sets and their application in multi-criteria decision-making problems," Operational Research, Springer, vol. 16(1), pages 131-160, April.
    3. R. Krishankumar & K. S. Ravichandran & J. Premaladha & Samarjit Kar & Edmundas Kazimieras Zavadskas & Jurgita Antucheviciene, 2018. "A Decision Framework under a Linguistic Hesitant Fuzzy Set for Solving Multi-Criteria Group Decision Making Problems," Sustainability, MDPI, vol. 10(8), pages 1-21, July.
    4. Ran Fang & Huchang Liao, 2021. "Emergency material reserve location selection by a time-series-based evidential reasoning approach under bounded rationality," Quality & Quantity: International Journal of Methodology, Springer, vol. 55(4), pages 1397-1417, August.
    5. Zhang-peng Tian & Jing Wang & Jian-qiang Wang & Hong-yu Zhang, 2017. "Simplified Neutrosophic Linguistic Multi-criteria Group Decision-Making Approach to Green Product Development," Group Decision and Negotiation, Springer, vol. 26(3), pages 597-627, May.

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