Volume 82 of “Neutrosophic Sets and Systems” features a diverse collection of research applying neutrosophic theory to address complex challenges across various fields, including information science, engineering, and healthcare. The papers in this volume present new models and methodologies that effectively handle uncertainty, indeterminacy, and imprecision. Significant theoretical contributions include the exploration of concepts like Neutrosophic Metric Spaces, Fermatean Neutrosophic Graphs, and SuperHyperSoft Sets, along with their applications in fields like energy supply systems and fixed-point theorems. The volume also highlights practical applications in multi-criteria decision-making (MCDM) for areas such as entrepreneurial education and civil litigation efficiency. Furthermore, research is presented on the use of neutrosophic logic with advanced technologies like deep learning and machine learning for tasks such as brain tumor medical image analysis and sleep disorder prediction. The collection also includes studies on risk management, digital media arts evaluation, and natural language processing. This volume demonstrates the expansive and evolving utility of neutrosophic theory in both foundational research and real-world problem-solving.