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Group decision making based on power Heronian aggregation operators under neutrosophic cubic environment

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Abstract

Neutrosophic cubic sets can deal with the complex information by combining the neutrosophic sets and cubic sets, the power average (PA) can weaken some effects of awkward data from biased decision makers, and Heronian mean (HM) can deal with the interrelationship between the aggregated attributes or arguments. In this article, in order to consider the advantages of the PA and HM, we combined and extended them to process neutrosophic cubic information. Firstly, we defined a distance measure for neutrosophic cubic numbers, then we presented the neutrosophic cubic power Heronian aggregation operator and neutrosophic cubic power weighted Heronian aggregation operator, and some characters and special cases of these new aggregation operators were investigated. Furthermore, we gave a new approach for multi-attribute group decision making based on new proposed operators. Finally, two examples were given to explain the validity and advantages of the developed approach by comparing with the existing method.

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Acknowledgements

This paper is supported by the National Natural Science Foundation of China (Nos. 71771140 and 71471172) and the Special Funds of Taishan Scholars Project of Shandong Province (No. ts201511045).

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Correspondence to Peide Liu.

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We declare that we do have no commercial or associative interests that represent a conflict of interests in connection with this manuscript. There are no professional or other personal interests that can inappropriately influence our submitted work.

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Cite this article

Liu, P., Khan, Q. & Mahmood, T. Group decision making based on power Heronian aggregation operators under neutrosophic cubic environment. Soft Comput (2019). https://doi.org/10.1007/s00500-019-04025-z

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Keywords

  • MAGDM
  • Neutrosophic cubic sets
  • Power average
  • Heronian mean