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N-Bipolar Soft Expert Sets and Their Applications in Robust Multi-Attribute Group Decision-Making

Author

Listed:
  • Sagvan Y. Musa

    (Department of Mathematics, College of Education, University of Zakho, Zakho 42002, Iraq
    Department of Computer Science, College of Science, Knowledge University, Erbil 44001, Iraq)

  • Amlak I. Alajlan

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia)

  • Baravan A. Asaad

    (Department of Mathematics, College of Science, University of Zakho, Zakho 42002, Iraq
    Department of Computer Science, College of Science, Cihan University-Duhok, Duhok 42001, Iraq)

  • Zanyar A. Ameen

    (Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq)

Abstract

This paper presents N-bipolar soft expert (N-BSE) sets, a novel framework designed to enhance multi-attribute group decision-making (MAGDM) by incorporating expert input, bipolarity, and non-binary evaluations. Existing MAGDM approaches often lack the ability to simultaneously integrate positive and negative assessments, especially in nuanced, multi-valued evaluation spaces. The proposed N-BSE model addresses this limitation by offering a comprehensive, mathematically rigorous structure for decision-making (DM). Fundamental operations of the N-BSE model are defined and analyzed, ensuring its theoretical consistency and applicability. To demonstrate its practical utility, the N-BSE model is applied to a general case study on sustainable energy solutions, illustrating its effectiveness in handling complex DM scenarios. An algorithm is proposed to streamline the DM process, enabling systematic and transparent identification of optimal alternatives. Additionally, a comparative analysis emphasizes the advantages of the N-BSE model over existing MAGDM frameworks, highlighting its capacity to integrate diverse expert opinions, evaluate both positive and negative attributes, and support multi-valued assessments. By bridging the gap between theoretical development and practical application, this paper contributes to advancing DM methodologies.

Suggested Citation

  • Sagvan Y. Musa & Amlak I. Alajlan & Baravan A. Asaad & Zanyar A. Ameen, 2025. "N-Bipolar Soft Expert Sets and Their Applications in Robust Multi-Attribute Group Decision-Making," Mathematics, MDPI, vol. 13(3), pages 1-30, February.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:3:p:530-:d:1584304
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    References listed on IDEAS

    as
    1. Sujit Das & Debashish Malakar & Samarjit Kar & Tandra Pal, 2018. "A Brief Review and Future Outline on Decision Making Using Fuzzy Soft Set," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 7(2), pages 1-43, April.
    2. Abedallah Al-shboul & Khaleed Alhazaymeh & Kah Lun Wang & Kok Bin Wong, 2024. "Fermatean Vague Soft Set and Its Application in Decision Making," Mathematics, MDPI, vol. 12(23), pages 1-14, November.
    3. Tahir Mahmood & Ubaid Ur Rehman & Abdul Jaleel & Jabbar Ahmmad & Ronnason Chinram, 2022. "Bipolar Complex Fuzzy Soft Sets and Their Applications in Decision-Making," Mathematics, MDPI, vol. 10(7), pages 1-19, March.
    4. Sagvan Y. Musa & Baravan A. Asaad, 2021. "Bipolar Hypersoft Sets," Mathematics, MDPI, vol. 9(15), pages 1-15, August.
    5. Nasruddin Hassan & Vakkas Uluçay & Mehmet Şahin, 2018. "Q-Neutrosophic Soft Expert Set and its Application in Decision Making," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 7(4), pages 37-61, October.
    Full references (including those not matched with items on IDEAS)

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