A Bipolar Fermatean Fuzzy Hamacher Approach to Group Decision-Making for Electric Waste

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i1.5691

Keywords:

bipolar valued fuzzy binary operation

Abstract

The paper introduces advanced aggregation operators based on Hamacher operational laws for Bipolar Fermatean Fuzzy sets, addressing complex decision-making problems. In addition, a score function is utilized to evaluate and rank alternatives within the Bipolar Fermatean Fuzzy decision framework, offering a quantitative measure of each alternative’s performance based on
the aggregation results. This score function helps simplify decision-making, particularly in cases involving complex uncertainty and multiple criteria. The proposed operators include the Bipolar Fermatean Fuzzy-Hamacher weighted average, the Bipolar Fermatean Fuzzy-Hamacher Ordered Weighted Average, and the Bipolar Fermatean Fuzzy-Hamacher Hybrid Weighted Average. These operators are designed to integrate membership, nonmembership, and hesitation degrees, making them highly effective in Bipolar Fermatean Fuzzy environments. To demonstrate the practicality of the proposed approach, a real-world group decision-making scenario is applied to managing electronic waste. The results show the proposed methodology’s superior efficiency, flexibility, and precision compared to existing approaches. The findings highlight the robustness of operators in handling uncertainty and enhancing the accuracy of decision-making.

Author Biographies

  • Muhammad Arshad Shehzad Hassan, The university of Faisalaad

    m a shehzad hassan

    Department of Electrical Engineering, the university of faisalabad, faisalabad

    [email protected] 

  • Thabet Abdeljawad, prince sultan

    T Abdeljawad

    Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia

    [email protected]

  • D. K. Almutairi

    Department of Mathematics, College of Science Al-Zulfi, Majmaah University, 11952 Al-Majmaah, Saudi Arabia.s

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Published

2025-01-31

Issue

Section

Nonlinear Analysis

How to Cite

A Bipolar Fermatean Fuzzy Hamacher Approach to Group Decision-Making for Electric Waste. (2025). European Journal of Pure and Applied Mathematics, 18(1), 5691. https://doi.org/10.29020/nybg.ejpam.v18i1.5691