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The Hesitant Fuzzy Linguistic TOPSIS Method Based on Novel Information Measures

Author

Listed:
  • Qian-Yun Tan

    (School of Computer Science and Technology, Nanjing Normal University, Nanjing 210023, P. R. China)

  • Cui-Ping Wei

    (College of Mathematical Sciences, Yangzhou University, Yangzhou 225002, P. R. China)

  • Qi Liu

    (School of Computer Science and Technology, Nanjing Normal University, Nanjing 210023, P. R. China)

  • Xiang-Qian Feng

    (School of Computer Science and Technology, Nanjing Normal University, Nanjing 210023, P. R. China)

Abstract

Hesitant fuzzy linguistic term sets (HFLTSs) have attracted lots of attention recently due to their distinguished power and efficiency for dealing with multi-criteria decision making. To extend the applicability of HFLTSs, this paper first presents a more concise comparison formula of hesitant fuzzy linguistic term sets based on probability criterion of uniform distribution and develops novel distance measures considering the hesitance degree. Next, an aggregation scheme is designed to integrate OWD measure into the TOPSIS analysis procedure, in which we calculate different criterion weights according to the distance between criterion values and positive and negative ideal solutions. The weighted distances between the alternatives and positive and negative ideal solutions are calculated. Then the relative closeness degree to the positive ideal solution is calculated to rank all alternatives. Finally, an example is given to illustrate the capabilities and validation of the proposed algorithm.

Suggested Citation

  • Qian-Yun Tan & Cui-Ping Wei & Qi Liu & Xiang-Qian Feng, 2016. "The Hesitant Fuzzy Linguistic TOPSIS Method Based on Novel Information Measures," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-22, October.
    • Handle: RePEc:wsi:apjorx:v:33:y:2016:i:05:n:s0217595916500354
    DOI: 10.1142/S0217595916500354
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Su-Min Yu & Huan Zhou & Xiao-Hong Chen & Jian-Qiang Wang, 2015. "A Multi-Criteria Decision-Making Method Based on Heronian Mean Operators Under a Linguistic Hesitant Fuzzy Environment," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(05), pages 1-35.
    3. Zeshui Xu, 2006. "A Note on Linguistic Hybrid Arithmetic Averaging Operator in Multiple Attribute Group Decision Making with Linguistic Information," Group Decision and Negotiation, Springer, vol. 15(6), pages 593-604, November.
    4. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1986. "How to select and how to rank projects: the Prométhée method," ULB Institutional Repository 2013/9307, ULB -- Universite Libre de Bruxelles.
    5. Brans, J. P. & Vincke, Ph. & Mareschal, B., 1986. "How to select and how to rank projects: The method," European Journal of Operational Research, Elsevier, vol. 24(2), pages 228-238, February.
    6. 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.
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    Cited by:

    1. Sidong Xian & Ke Qing & Ling Tang & Huilan Pan, 2023. "A Multi-criteria Group Decision Making Based on Possibility Degree Matrix and $$\mathbb {ZPDHL}$$ ZPDHL -VIKOR Method," Group Decision and Negotiation, Springer, vol. 32(3), pages 633-666, June.

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