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.

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.

MUHAMMAD AKRAM is Professor at the Department of Mathematics, University of the Punjab, Lahore, Pakistan. He previously served as Assistant Professor and Associate Professor at Punjab University College of Information Technology, Lahore, Pakistan. He holds a Ph.D. in Fuzzy Mathematics from Government College University, Lahore, Pakistan. His research interests include numerical algorithms, fuzzy graphs, fuzzy algebras, and fuzzy decision-support systems. He has published eight books and over 320 research articles in peer-reviewed international journals.

ANAM LUQMAN received her M.Phil. and M.Sc. degrees in Mathematics from the University of the Punjab, Lahore, Pakistan, and is currently a Ph.D. scholar at the same university. Her research interests include extensions of fuzzy hypergraphs and their applications. She has published over 15 research articles in various scientific journals.