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Fermatean fuzzy power Bonferroni aggregation operators and their applications to multi-attribute decision-making

  • Fuzzy systems and their mathematics
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Abstract

This paper focuses on the influence of support degree and weight between different attributes on the decision-making process. First, we analyze the Fermatean fuzzy power Bonferroni mean (FFPBM) and Fermatean fuzzy weighted power Bonferroni mean (FFWPBM) operators, which combine the properties of the Bonferroni mean and the power average operators. The proposal for a new operators can not only force decision-makers to consider the possible interaction between each attribute in the decision-making process, but also embrace the balance of data by calculating the support degree and aggregating the attribute values, thereby improving generalization ability overall. Then various qualities, such as idempotency, permutation, and boundedness, are demonstrated. After that, the MADM method is proposed with the developed operators. Finally, an example is provided to demonstrate the new approach's validity and viability.

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Acknowledgements

This paper was supported by the Fundamental Research Funds for the Statistical Scientific Key Research Project of China (2021LZ33). Also, this research is supported by Researchers Supporting Project number RSPD2023R650, King Saud University, Riyadh, Saudi Arabia.

Funding

This paper was supported by the Fundamental Research Funds for the Statistical Scientific Key Research Project of China (2021LZ33). Also, this work is supported by the Social Sciences Planning Projects of Ningbo (G2023-2–65) and Ningbo Natural Science Foundation (2023J101).

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Authors and Affiliations

  1. School of Business Administration, Guangdong University of Finance and Economics, Guangzhou, 510320, China

    Chuanyang Ruan & Xiangjing Chen

  2. School of Business, Ningbo University, Ningbo, 315211, China

    Shouzhen Zeng

  3. Department of Mathematics, The Islamia University of Bahawalpur, Rahim Yar Khan, Campus, Bahawalpur, 64200, Pakistan

    Shahbaz Ali

  4. Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, 11451, Riyadh, Saudi Arabia

    Bander Almutairi

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  1. Chuanyang Ruan
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  2. Xiangjing Chen
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Correspondence to Shouzhen Zeng or Shahbaz Ali.

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Ruan, C., Chen, X., Zeng, S. et al. Fermatean fuzzy power Bonferroni aggregation operators and their applications to multi-attribute decision-making. Soft Comput 28, 191–203 (2024). https://doi.org/10.1007/s00500-023-09363-7

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