Fuzzy Mathematics in Operations Research and Artificial Intelligence: Advancing Decision-Making Under Uncertainty

Author(s)	Ms. A. Nandhini, Ms. S. Thamarai
Country	India
Abstract	Fuzzy mathematics offers a robust framework for modeling uncertainty and imprecision prevalent in operations research (OR) and artificial intelligence (AI). This study synthesizes recent research (2024–2025) demonstrating the superiority of fuzzy systems across diverse applications, including production scheduling, healthcare diagnostics, inventory management, and reverse logistics. Empirical results reveal notable improvements: a 13.8% increase in satisfaction degrees, a 15.5% enhancement in sepsis detection accuracy, 25% cost reductions in inventory, and 18% savings in reverse logistics. The paper presents a systematic methodological framework, implementation strategies, and future directions for hybrid neuro-fuzzy systems, emphasizing their interpretability and practical deployment.
Keywords	Fuzzy set theory, operations research, artificial intelligence, uncertainty modeling, decision support systems
Field	Mathematics
Published In	Volume 8, Issue 2, March-April 2026
Published On	2026-03-05

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