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Multivalued neutrosophic power partitioned Hamy mean operators and their application in MAGDM

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  • Muwen Wang
  • Tonghui Li
  • Yuan Tian
  • Kecheng Zhang

Abstract

The novel multivalued neutrosophic aggregation operators are proposed in this paper to handle the complicated decision-making situations with correlation between specific information and partitioned parameters at the same time, which are based on weighted power partitioned Hamy mean (WMNPPHAM) operators for multivalued neutrosophic sets (MNS) proposed by combining the Power Average and Hamy operators. Firstly, the power partitioned Hamy mean (PPHAM) is capable of capture the correlation between aggregation parameters and the relationship among attributes dividing several parts, where the attributes are dependent definitely within the interchangeable fragment, other attributes in divergent sections are irrelevant. Secondly, because MNS can effectively represent imprecise, insufficient, and uncertain information, we proposed the multivalued neutrosophic PMHAM (WMNPHAM) operator for MNS and its partitioned variant (WMNPPHAM) with the characteristics and examples. Finally, this multiple attribute group decision making (MAGDM) technique is proven to be feasible by comparing with the existing methods to confirm this method’s usefulness and validity.

Suggested Citation

  • Muwen Wang & Tonghui Li & Yuan Tian & Kecheng Zhang, 2023. "Multivalued neutrosophic power partitioned Hamy mean operators and their application in MAGDM," PLOS ONE, Public Library of Science, vol. 18(2), pages 1-23, February.
    • Handle: RePEc:plo:pone00:0281734
    DOI: 10.1371/journal.pone.0281734
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    References listed on IDEAS

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    1. Swagatika Mishra & Chitrasen Samantra & Saurav Datta & Siba Sankar Mahapatra, 2012. "Multi-attribute group decision-making (MAGDM) for supplier selection using fuzzy linguistic modelling integrated with VIKOR method," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 12(1), pages 67-89.
    2. Peide Liu & Lili Zhang & Xi Liu & Peng Wang, 2016. "Multi-Valued Neutrosophic Number Bonferroni Mean Operators with their Applications in Multiple Attribute Group Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1181-1210, September.
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