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Multiple attribute group decision making based on \(p,q\)-quasirung orthopair Bonferroni mean operators and their applications

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Abstract

The Bonferroni mean (BM) operator provides a strategy for justifying the effects of unrealistic aggregation values while simultaneously capturing the interconnections between input arguments. Moreover, \(p,q\)-quasirung orthopair fuzzy (\(p,q-\) -QOF) sets is a new development in fuzzy set (FS) theory that allows for more accurate and nuanced management and representation of uncertain data. In this paper, we integrate the concept of \(p,q\)-QOF numbers (\(p,q\)-QOFNs) and extend the BM operators to accommodate \(p,q\)-QOF information. To aggregate diverse preferences of decision-makers, we first present some Bonferroni mean and weighted Bonferroni mean averaging operators for \(p,q\)-QOFNs. Subsequently, we construct a decision-making (DM) framework utilizing the proposed operators within the context of \(p,q\)-QOF sittings, demonstrated through a numerical illustration. Finally, we compare the presented approach with existing methods to establish the practicality and feasibility of the proposed DM process.

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through large group Research Project under grant number RGP2/461/44

Funding

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through large group Research Project under grant number RGP2/461/44.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Hazara University Mansehra, Khyber Pakhtunkhwa, 21300, Pakistan

    Muhammad Rahim

  2. EIAS Data Science Lab, College of Computer and Information Sciences, Prince Sultan University, 11586, Riyadh, Saudi Arabia

    Sadique Ahmad

  3. Department of Mathematics, Faculty of Arts and Science, Elmagarda, King Khalid University, Abha, Saudi Arabia

    B. A. Younis

  4. Department of Mathematics, College of Science and Humanities in Sulail, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia

    Ria H. Egami

  5. Faculty of Sciences Department of Mathematics, The Islamic University of Madinah, Medina, Kingdom of Saudi Arabia

    Mohammed Mustafa Ahmed

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  1. Muhammad Rahim
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  4. Ria H. Egami
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Correspondence to Muhammad Rahim.

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Rahim, M., Ahmad, S., Younis, B.A. et al. Multiple attribute group decision making based on \(p,q\)-quasirung orthopair Bonferroni mean operators and their applications. Evolving Systems 16, 9 (2025). https://doi.org/10.1007/s12530-024-09638-w

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