This study introduces a novel group decision-making (GDM) framework under a complex spherical fuzzy environment, extending the golden section (GS) principle from a one-dimensional interval to a high-dimensional data center to address the core challenges of determining decision-maker (DM) weights and ranking alternatives. A rigorous theoretical justification is established, comprising four formal properties (self-similarity, optimal balance, convergence, and geometric center) that mathematically justify the GS ratio as aggregation weights for combining minimum and maximum matrices. An entropy-based method quantifies data quality for DM weight allocation, while a normalized Euclidean distance ranks the options. Eight experimental findings demonstrate the superiority of the GS-based approach: it enhances DM weight stability by a factor of 4.76 (376%) and improves ranking robustness by 8.33% compared to an arithmetic-mean-based center; against a direct extreme-value method, it achieves a 9.74-fold (874%) improvement in weight discrimination and a 0.42% sharper distinction among top alternatives. Dynamic experiments validate that the GS point 0.618 serves as a pivotal partition within
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AIMS Mathematics 2026, 11(7): 20815-20874
Published: 15 July 2026
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