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Generalized Hesitant Fuzzy Harmonic Mean Operators and Their Applications in Group Decision Making

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Abstract

In this paper, we propose the generalized hesitant fuzzy harmonic mean operators including the generalized hesitant fuzzy weighted harmonic mean operator (GHFWHM), the generalized hesitant fuzzy ordered weighted harmonic mean operator (GHFOWHM), and the generalized hesitant fuzzy hybrid harmonic mean operator (GHFHHM), using the technique of obtaining values in the interval. Then we apply the developed aggregation operators to group decision making under hesitant fuzzy environment. Considering the existing hesitant fuzzy group decision-making method does not distinguish the importance degrees of different experts, we present a new group decision-making algorithm which can consider the weight of every expert. Two numerical examples are used to illustrate the effectiveness of the proposed operators and the new group decision-making algorithm.

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Acknowledgments

The work was supported by the National Natural Science Foundation of China (No. 61273209) and the Central University Basic Scientific Research Business Expenses Project (no.skgt201501).

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Authors and Affiliations

  1. Institute of Sciences, PLA University of Science and Technology, Nanjing, 210007, China

    Hua Zhao

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

    Zeshui Xu

  3. College of Humanities & Social Sciences, Nanjing Agricultural University, Nanjing, 210095, China

    Feng Cui

Authors
  1. Hua Zhao
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  2. Zeshui Xu
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  3. Feng Cui
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Correspondence to Feng Cui.

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Zhao, H., Xu, Z. & Cui, F. Generalized Hesitant Fuzzy Harmonic Mean Operators and Their Applications in Group Decision Making. Int. J. Fuzzy Syst. 18, 685–696 (2016). https://doi.org/10.1007/s40815-015-0099-z

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  • DOI: https://doi.org/10.1007/s40815-015-0099-z

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