Fuzzy Hypergraphs and Related Extensions

This book presents the fundamental and technical concepts of fuzzy hypergraphs and explains their extensions and applications. It discusses applied generalized mathematical models of hypergraphs, including complex, intuitionistic, bipolar, m-polar fuzzy, Pythagorean, complex Pythagorean, and q-rung orthopair hypergraphs, as well as single-valued neutrosophic, complex neutrosophic and bipolar neutrosophic hypergraphs. In addition, the book also sheds light on real-world applications of these hypergraphs, making it a valuable resource for students and researchers in the field of mathematics, as well as computer and social scientists.

Discuses fundamental and technical concepts of fuzzy hypergraphs Explains various extensions of fuzzy hypergraphs Focuses on real-world applications of fuzzy hypergraphs Is useful to researchers, graduate students and scientists

Autorentext

Muhammad Akram has received his M.Sc. degree in Mathematics and Computer Science, M.Phil. in Mathematics, and Ph.D. in Fuzzy Mathematics. He is currently serving as a Professor at the Department of Mathematics of the University of the Punjab, in Lahore, Pakistan. Muhammad Akram's research topics cover numerical solutions of parabolic partial differential equations, fuzzy graphs, fuzzy algebras, and fuzzy decision support systems. He has published about 500 research articles in international peer-reviewed journals, and 10 monographs. He has been serving as an Editorial Board Member and as a reviewer of international academic journals. Arooj Adeel is an Assistant Professor at the Department of Mathematics of the University of Education, in Lahore, Pakistan. She completed her Ph.D. degree in Mathematics at the same University. Her research covers fuzzy sets and graphs, hybrid models, and decision-making techniques. She has published more than 20 articles in international peer-reviewed journals. She is also serving as an Editorial Board Member and as a reviewer of international academic journals.

Inhalt

1. Fuzzy Hypergraphs.- 2. Hypergraphs in Intuitionistic Fuzzy Environment.- 3. Hypergraphs in Interval-Valued Fuzzy Environment.- 4. Hypergraphs in Bipolar Fuzzy Environment.- 5. Hypergraphs in m-Polar Fuzzy Environment.- 6. Hypergraphs in q-Rung Orthopair Fuzzy Environment.- 7. Granular Computing Based on q-Rung Picture Fuzzy Hypergraphs.- 8. Hypergraphs in Single-Valued Neutrosophic Environment.- 9. Hypergraphs in Bipolar Neutrosophic Environment.