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A note on “New aggregation operators of single-valued neutrosophic hesitant fuzzy set and their application in multi-attribute decision making”

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Abstract

Single-valued neutrosophic hesitant fuzzy elements (SVNHFEs) can be used to characterize incomplete, uncertain and inconsistent information effectively, which result in great significance of the aggregation of SVNHFEs. However, some existing aggregation operators for SVNHFEs may not be rigorous enough. In this paper, We show that an assertion (Theorem  1) in a previous paper by Liu and Guo [C.F. Liu, Y.S. Luo, New aggregation operators of single-valued neutrosophic hesitant fuzzy set and their application in multi-attribute decision making, Pattern Analysis Application (2019) 22:417–427] is not correct, i.e., the single-valued neutrosophic hesitant fuzzy ordered weighted aggregation (SVNHFOWA) operator does not satisfy idempotency actually. Thus it is not reasonable to adopt the SVNHFOWA operator in many practical applications. The present paper can effectively prevent many researchers from using the SVNHFOWA operator to aggregate SVNHFEs.

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References

  1. Liu CF, Luo YS (2017) New aggregation operators of single-valued neutrosophic hesitant fuzzy set and their application in multi-attribute decision making. Pattern Anal Appl 22:417–427

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Acknowledgements

This work is supported by the Construction of an Innovative Environment in the Xinjiang Autonomous Region (No. 2019D01C053).

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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, 830046, Urumqi, PR China

    Li Wang & Yan-Ling Bao

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  1. Li Wang
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  2. Yan-Ling Bao
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Correspondence to Yan-Ling Bao.

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Wang, L., Bao, YL. A note on “New aggregation operators of single-valued neutrosophic hesitant fuzzy set and their application in multi-attribute decision making”. Pattern Anal Applic 24, 801–803 (2021). https://doi.org/10.1007/s10044-020-00928-y

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  • DOI: https://doi.org/10.1007/s10044-020-00928-y

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