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Selecting Personnel with the Weighted Cross-Entropy TOPSIS of Hesitant Picture Fuzzy Linguistic Sets

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  • Xiao-Hui Wu
  • Lin Yang
  • Jie Qian
  • Jun Ye

Abstract

Personnel selection is a key important role for the human resource department of organization, and hesitant picture fuzzy linguistic sets (HPFLSs) elaborated the advantages of both hesitant linguistic set and picture fuzzy set, which is more flexible and effective to solve the decision-making problems of personnel selection than other extension of fuzzy linguistic sets (FLSs). Cross-entropy, as effective measurement tools, is wildly used under fuzzy multicriteria decision-making (FMCDM) environment; thus, in order to elaborate the advantages of both cross-entropy and HPFLSs under FMCDM environment, the cross-entropy definition of HPFLSs is firstly given in this paper. Meanwhile, several novel cross-entropy measures between two HPFLSs are introduced, and their related properties are proved. Then, an approach based on the weighted cross-entropy measures and TOPSIS under hesitant picture fuzzy linguistic environment is proposed. Finally, the proposed method is applied to the real personnel’s selection, and the ranking results show that the proposed methods are practical and effective.

Suggested Citation

  • Xiao-Hui Wu & Lin Yang & Jie Qian & Jun Ye, 2021. "Selecting Personnel with the Weighted Cross-Entropy TOPSIS of Hesitant Picture Fuzzy Linguistic Sets," Journal of Mathematics, Hindawi, vol. 2021, pages 1-26, November.
    • Handle: RePEc:hin:jjmath:7104045
    DOI: 10.1155/2021/7104045
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    Cited by:

    1. Francisco Rodrigues Lima-Junior & Mery Ellen Brandt de Oliveira & Carlos Henrique Lopes Resende, 2023. "An Overview of Applications of Hesitant Fuzzy Linguistic Term Sets in Supply Chain Management: The State of the Art and Future Directions," Mathematics, MDPI, vol. 11(13), pages 1-40, June.

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