TY  - EJOU
AU  - Musa, Sagvan Y. 
AU  - Asaad, Baravan A. 
AU  - Alohali, Hanan 
AU  - Ameen, Zanyar A. 
AU  - Alqahtani, Mesfer H. 

TI  - Fuzzy N-Bipolar Soft Sets for Multi-Criteria Decision-Making: Theory and Application
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2025
VL  - 143
IS  - 1
SN  - 1526-1506

AB  - This paper introduces fuzzy N-bipolar soft (FN-BS) sets, a novel mathematical framework designed to enhance multi-criteria decision-making (MCDM) processes under uncertainty. The study addresses a significant limitation in existing models by unifying fuzzy logic, the consideration of bipolarity, and the ability to evaluate attributes on a multinary scale. The specific contributions of the FN-BS framework include: (1) a formal definition and set-theoretic foundation, (2) the development of two innovative algorithms for solving decision-making (DM) problems, and (3) a comparative analysis demonstrating its superiority over established models. The proposed framework is applied to a real-world case study on selecting vaccination programs across multiple countries, showcasing consistent DM outcomes and exceptional adaptability to complex and uncertain scenarios. These results position FN-BS sets as a versatile and powerful tool for addressing dynamic DM challenges.
KW  - Fuzzy N-bipolar soft sets; N-bipolar soft sets; N-soft sets; MCDM; algorithms

DO  - 10.32604/cmes.2025.062524