This book provides a timely overview of fuzzy graph theory, laying the
foundation for future applications in a broad range of areas. It
introduces readers to fundamental theories, such as Craine's work on
fuzzy interval graphs, fuzzy analogs of Marczewski's theorem, and the
Gilmore and Hoffman characterization. It also introduces them to the
Fulkerson and Gross characterization and Menger's theorem, the
applications of which will be discussed in a forthcoming book by the
same authors. This book also discusses in detail important concepts such
as connectivity, distance and saturation in fuzzy graphs.
Thanks to the good balance between the basics of fuzzy graph theory and
new findings obtained by the authors, the book offers an excellent
reference guide for advanced undergraduate and graduate students in
mathematics, engineering and computer science, and an inspiring read for
all researchers interested in new developments in fuzzy logic and
applied mathematics.