{"slug": "fuzzy-neutrosophic-and-uncertain-graph-theory-properties-and-applications", "title": "Fuzzy, Neutrosophic, and Uncertain Graph Theory: Properties and Applications", "summary": "A new book provides a comprehensive survey of graph theory under uncertainty, unifying fuzzy, neutrosophic, and related models within a common framework. The work reviews fundamental concepts, structural properties, and graph classes while introducing extensions such as uncertain digraphs, hypergraphs, and dynamic graphs. It also explores practical applications in molecular graphs, decision-making systems, graph neural networks, and cognitive maps, offering a coherent perspective for understanding complex systems.", "body_md": "arXiv:2605.23936v1 Announce Type: new\nAbstract: This book presents a comprehensive and systematic survey of graph theory under uncertainty, with particular emphasis on the unifying role of the uncertain graph framework. It reviews fundamental concepts, structural properties, graph classes, and graph parameters within fuzzy, neutrosophic, and related models, while also introducing a wide range of extensions such as uncertain digraphs, hypergraphs, superhypergraphs, and dynamic graphs. In addition to theoretical developments, the book explores practical applications, including uncertain molecular graphs, decision-making systems, graph neural networks, knowledge graphs, and cognitive maps. By organizing diverse uncertainty-aware graph models within a common perspective, this work provides a coherent framework for understanding their relationships, capabilities, and applications in complex systems.", "url": "https://wpnews.pro/news/fuzzy-neutrosophic-and-uncertain-graph-theory-properties-and-applications", "canonical_source": "https://arxiv.org/abs/2605.23936", "published_at": "2026-05-26 04:00:00+00:00", "updated_at": "2026-05-26 04:09:09.399841+00:00", "lang": "en", "topics": ["ai-research"], "entities": [], "alternates": {"html": "https://wpnews.pro/news/fuzzy-neutrosophic-and-uncertain-graph-theory-properties-and-applications", "markdown": "https://wpnews.pro/news/fuzzy-neutrosophic-and-uncertain-graph-theory-properties-and-applications.md", "text": "https://wpnews.pro/news/fuzzy-neutrosophic-and-uncertain-graph-theory-properties-and-applications.txt", "jsonld": "https://wpnews.pro/news/fuzzy-neutrosophic-and-uncertain-graph-theory-properties-and-applications.jsonld"}}