aspg-24-3871-1791482589 20261008180309 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6430 2771-6449 2025 10 1 Takaaki Fujita Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan Numerous frameworks have been developed to address uncertainty in various domains. Among the most prominent are Fuzzy Sets,26 Rough Sets,15 Intuitionistic Fuzzy Sets,4 Hesitant Fuzzy Sets,23 Neutrosophic Sets,3 as well as other emerging theories that continue to be actively explored. Supply Chain Management (SCM) involves planning, coordinating, and optimizing the flow of goods, information, and finances across the entire supply network.9, 16 In this paper, we introduce rigorous Mathematical Frameworks for Fuzzy Supply Chain Management (FSCM) and Neutrosophic Supply Chain Management (NSCM). We hope that these formulations will foster further advances in both supply chain optimization and the development of Fuzzy Set and Neutrosophic Set-based models. 2025 14 24 3871 https://creativecommons.org/licenses/by/4.0/ 10.54216/JNFS.100102 https://www.americaspg.com/journal/24/article/3871 https://www.americaspg.com/storage/articles/manuscripts/01M2R8VZXTKKCE36G0Z8BF0319.pdf