This book is designed to meet the requirements of researchers of Graph Theory and Fuzzy Systems. This book helps the students of Engineering, Computer science and Applied Mathematics. It explains the fundamentals of fuzzy sets, fuzzy graphs, classification of fuzzy graphs and some applications of fuzzy graphs. Discussion about dieffrent types of fuzzy graphs are made here. Details of fuzzy planar graphs, fuzzy tolerance graphs, fuzzy threshold graphs and fuzzy competition graphs are narrated with suitable examples and properties. Bipolar fuzzy graphs are discussed with different interesting...

Here, the power convergence of IFMs with respect to two different binary operations have been studied with the help of intuitionistic fuzzy graph. The eigen intuitionistic fuzzy set is also defined here and proved that the row vectors of the limit matrix are the unique eigen intuitionistic fuzzy set of the original IFM. Some properties of the limit matrix are also studied here with numerical examples. A method is investigated to compute the generalized inverse of an IFM. An application of generalized inverse is also provided here. The conditions for a BIFM to be regular are discussed and...