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New aggregation operators of single-valued neutrosophic hesitant fuzzy set and their application in multi-attribute decision making

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Abstract

The single-valued neutrosophic hesitant fuzzy set (SVNHFS) is a combination of single-valued neutrosophic set and hesitant fuzzy set that is designed for some incomplete, uncertain and inconsistent situations in which each element has a few different values designed by truth membership hesitant function, indeterminacy membership hesitant function and falsity membership hesitant function. In this paper, we define the score function, accuracy function and certainty function of SVNHFS and give the laws to compare the SVNHFS. Then, we propose the single-valued neutrosophic hesitant fuzzy ordered weighted averaging operator and the single-valued neutrosophic hesitant fuzzy hybrid weighted averaging operator and study the properties of the operators. Furthermore, an approach to multi-attribute decision making within the framework of SVNHFS is developed by the proposed aggregation operators. Finally, a practical application of the developed approach is given, and the result shows that our approach is reasonable and effective in dealing with uncertain decision-making problems.

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Acknowledgements

The authors would like to thank the editors and the anonymous reviewers for their insightful and valuable comments and suggestions that have led to this improved version of the paper. This work was supported by the Fundamental Research Funds for the Central Universities Project (2572017CB29) and Harbin Science Technology Innovation Talent Research Fund (2016RQQXJ230).

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Authors and Affiliations

  1. College of Science, Northeast Forestry University, Harbin, 150001, China

    Chun-fang Liu

  2. College of Automation, Harbin Engineering University, Harbin, 150001, China

    Yue-Sheng Luo

Authors
  1. Chun-fang Liu
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  2. Yue-Sheng Luo
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Correspondence to Chun-fang Liu.

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Liu, Cf., Luo, YS. New aggregation operators of single-valued neutrosophic hesitant fuzzy set and their application in multi-attribute decision making. Pattern Anal Applic 22, 417–427 (2019). https://doi.org/10.1007/s10044-017-0635-6

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  • DOI: https://doi.org/10.1007/s10044-017-0635-6

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