aspg-21-2668-1791468717 20261008141157 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 24 1 N. Sindhuja Ph.D Research Scholar, PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli-620018, Tamil Nadu, India. M. Santoshi Kumari Department of Mathematics, Chaitanya Bharathi Institute of Technology, Gandipet, Hyderabad – 500075, India K. Kalaiarasi PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Affiliated to Bharathidasan University, Tiruchirappalli-620018, Tamil Nadu, India; D. Sc (Mathematics) Resea Manjula G. J. Department of Mathematics, Siddaganga Institute of Technology, Tumakuru – 572103, Karnataka, India Shrivalli H. Y. Department of Mathematics, BMS College of Engineering, Bengaluru – 560019, Karnataka, India. Embarking on the exploration of integrating environmental sustainability principles and neutrosophic fuzzy theory in inventory management, this study aims to effectively tackle shortages. It underscores the vital balance between economic efficiency and ecological responsibility in contemporary inventory management practices. Neutrosophic fuzzy theory emerges as a robust tool for navigating the inherent uncertainties in inventory optimization, offering a versatile framework for modelling intricate problems. Strategies for optimizing resource consumption and minimizing waste generation within inventory management are scrutinized, emphasizing the imperative of harmonizing economic objectives with environmental concerns. Introducing a novel framework that melds neutrosophic fuzzy with environmental metrics, the research aims to optimize inventory management processes while mitigating environmental impacts. Furthermore, it delves into the challenges of managing energy consumption, advocating for innovative approaches to address fluctuating energy prices, data limitations, and evolving regulatory requirements. Neutrosophic sets are introduced for energy consumption analysis and cost evaluation, showcasing their efficacy in managing uncertainty and variability in real-world scenarios. The study concludes with a Python-based analysis of neutrosophic mean in energy consumption, offering insights into central tendencies and uncertainties associated with energy-related costs. Utilizing visualization techniques to enhance comprehension and decision-making in energy management, this research contributes to advancing inventory management practices by integrating environmental sustainability principles and sophisticated mathematical techniques, thereby fostering more resilient and sustainable supply chain operations. 2024 219 236 2668 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.240120 https://www.americaspg.com/journal/21/article/2668 https://www.americaspg.com/storage/31713316599.pdf