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Multiple criteria decision making based on Bonferroni means with hesitant fuzzy linguistic information

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Abstract

In recent decades, different extensional forms of fuzzy sets have been developed. However, these multitudinous fuzzy sets are unable to deal with quantitative information better. Motivated by fuzzy linguistic approach and hesitant fuzzy sets, the hesitant fuzzy linguistic term set was introduced and it is a more reasonable set to deal with quantitative information. During the process of multiple criteria decision making, it is necessary to propose some aggregation operators to handle hesitant fuzzy linguistic information. In this paper, two aggregation operators for hesitant fuzzy linguistic term sets are introduced, which are the hesitant fuzzy linguistic Bonferroni mean operator and the weighted hesitant fuzzy linguistic Bonferroni mean operator. Correspondingly, several properties of these two aggregation operators are discussed. Finally, a practical case is shown in order to express the application of these two aggregation operators. This case mainly discusses how to choose the best hospital about conducting the whole society resource management research included in a wisdom medical health system.

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Acknowledgments

This study was funded by National Natural Science Foundation of China (Nos. 61273209, 71571123, 71501135) and the Central University Basic Scientific Research Business Expenses Project (No. skgt201501, skqy201649).

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Authors and Affiliations

  1. Business School, Sichuan University, Chengdu, 610064, China

    Xunjie Gou, Zeshui Xu & Huchang Liao

  2. School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Zeshui Xu

Authors
  1. Xunjie Gou
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  2. Zeshui Xu
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  3. Huchang Liao
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Corresponding author

Correspondence to Zeshui Xu.

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Conflict of interest

Xunjie Gou, Zeshui Xu and Huchang Liao declare that they no conflict of interest.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Informed consent was obtained from all individual participants included in the study.

Additional information

Communicated by V. Loia.

Appendix

Appendix

See Table 4.

Table 4 Abbreviations and their full names
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Gou, X., Xu, Z. & Liao, H. Multiple criteria decision making based on Bonferroni means with hesitant fuzzy linguistic information. Soft Comput 21, 6515–6529 (2017). https://doi.org/10.1007/s00500-016-2211-1

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