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q-Rung orthopair fuzzy N-soft aggregation operators and corresponding applications to multiple-attribute group decision making

  • Fuzzy systems and their mathematics
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Abstract

In this paper, by integrating the q-rung orthopair fuzzy set (q-ROFS) with the N-soft set, we first propose a q-rung orthopair fuzzy N-soft set (q-ROFNSS). Based on the q-ROFNSS, we explore the q-rung orthopair fuzzy N-soft weighted average (q-ROFNSWA) operator and q-rung orthopair fuzzy N-soft weighted geometric (q-ROFNSWG) operator, and investigate some properties of the q-ROFNSWG operator and q-ROFNSWG operator including idempotency, monotonicity and boundedness. Finally, two kinds of multiple-attribute group decision-making (MAGDM) methods based on q-rung orthopair fuzzy N-soft aggregation operators are established. In addition, a practical example is provided to illustrate the effectiveness and correctness of the new decision-making approaches. Through comparison with existing methods, the advantages of our method are also elaborated.

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Acknowledgements

The authors would like to thank the anonymous referees for their valuable comments and suggestions.

Funding

This study was funded by the National Natural Science Foundation of China (No. 61966032), the Natural Science Foundation of Gansu Province (No. 20JR10RA118), the Fundamental Research Funds for the Central Universities of Northwest MinZu University (No. 31920210025) and the Innovation Team for Operations Research and Cybernetics of Northwest MinZu University.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Northwest MinZu University, Lanzhou, 730000, Gansu, China

    Haidong Zhang & TaiBen Nan

  2. School of Electrical Engineering, Northwest MinZu University, Lanzhou, 730000, Gansu, China

    Yanping He

Authors
  1. Haidong Zhang
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  2. TaiBen Nan
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  3. Yanping He
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Contributions

HZ contributed to the manuscript preparation and the conception of the study, and made important revisions to the paper; TN wrote the manuscript; and YH performed the experiment and the data analysis.

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Correspondence to Haidong Zhang.

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Zhang, H., Nan, T. & He, Y. q-Rung orthopair fuzzy N-soft aggregation operators and corresponding applications to multiple-attribute group decision making. Soft Comput 26, 6087–6099 (2022). https://doi.org/10.1007/s00500-022-07126-4

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