A Study on Fuzzy Graphs and Their Applications. Some important subclasses of fuzzy graphs, their properties and applications

      Аннотация: 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 properties. Social networks and telecommunication systems are analyzed with the help of fuzzy graphs. Fuzzy social networks and fuzzy telecommunication networks are explained. Also, some applications of fuzzy graphs like image contraction are highlighted.

Ключевые слова: Fuzzy Graphs, Fuzzy Sets, social networks., fuzzy planar graphs, fuzzy tolerance graphs, fuzzy threshold graphs, bipolar fuzzy graphs, fuzzy competition graphs, telecommunication network