AGENTIC-SYSTEMSMay 26, 20261 min read9 views

Fuzzy, Neutrosophic, and Uncertain Graph Theory: Properties and Applications

A comprehensive survey of graph theory under uncertainty, exploring its theoretical properties and diverse applications in AI, decision-making, and graph neural networks.

Computer Science > Artificial Intelligence

Title:Fuzzy, Neutrosophic, and Uncertain Graph Theory: Properties and Applications

View PDFAbstract: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.

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