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A novel approach to group decision-making using generalized bipolar neutrosophic sets

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  • Aliya Fahmi
  • Aziz Khan
  • Thabet Abdeljawad

Abstract

This study introduces operational laws for Aczél-Alsina aggregation within the framework of generalized bipolar neutrosophic sets (GBNS), tailored for group decision-making scenarios. Novel aggregation operators, including the Generalized Bipolar Neutrosophic Aczél-Alsina Weighted Average (GBNAAWA), Generalized Bipolar Neutrosophic Aczél-Alsina Ordered Weighted Average (GBNAAOWA), Generalized Bipolar Neutrosophic Aczél-Alsina Hybrid Weighted Average (GBNAAHWA), Generalized Bipolar Neutrosophic Aczél-Alsina Weighted Geometric (GBNAAWG), Generalized Bipolar Neutrosophic Aczél-Alsina Ordered Weighted Geometric (GBNAAOWG), and Generalized Bipolar Neutrosophic Aczél-Alsina Hybrid Weighted Geometric (GBNAAHWG), are proposed to address complex decision-making processes under uncertainty. The methodology is demonstrated through a case study and an illustrative example to validate its practical applicability. Comparative and sensitivity analyses highlight the robustness and adaptability of the proposed operators in various decision contexts. Key findings, discussions, and limitations are presented to provide insights into the method’s effectiveness and areas for future research. This work contributes to advancing decision-making models by integrating Aczél-Alsina aggregation with bipolar neutrosophic theory, offering a novel approach to handling ambiguity and conflicting information.

Suggested Citation

  • Aliya Fahmi & Aziz Khan & Thabet Abdeljawad, 2025. "A novel approach to group decision-making using generalized bipolar neutrosophic sets," PLOS ONE, Public Library of Science, vol. 20(6), pages 1-24, June.
    • Handle: RePEc:plo:pone00:0317746
    DOI: 10.1371/journal.pone.0317746
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    References listed on IDEAS

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    1. Efua Obeng & John Prescott & John Hulland & Robert Gilbert & James Maxham, 2015. "Retail capability systems," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 5(3), pages 103-122, December.
    2. Efua Obeng & John E. Prescott & John Hulland & Robert Gilbert & James Maxham, 2015. "Retail capability systems," AMS Review, Springer;Academy of Marketing Science, vol. 5(3), pages 103-122, December.
    3. Richard Metters & Steve Walton, 2007. "Strategic supply chain choices for multi-channel Internet retailers," Service Business, Springer;Pan-Pacific Business Association, vol. 1(4), pages 317-331, December.
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