Advanced Topics in Fuzzy Graph Theory

✍ Scribed by John N. Mordeson, Sunil Mathew

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 220
• Series: Studies in Fuzziness and Soft Computing 375
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This book builds on two recently published books by the same authors on fuzzy graph theory. Continuing in their tradition, it provides readers with an extensive set of tools for applying fuzzy mathematics and graph theory to social problems such as human trafficking and illegal immigration. Further, it especially focuses on advanced concepts such as connectivity and Wiener indices in fuzzy graphs, distance, operations on fuzzy graphs involving t-norms, and the application of dialectic synthesis in fuzzy graph theory. Each chapter also discusses a number of key, representative applications. Given its approach, the book provides readers with an authoritative, self-contained guide to – and at the same time an inspiring read on – the theory and modern applications of fuzzy graphs. For newcomers, the book also includes a brief introduction to fuzzy sets, fuzzy relations and fuzzy graphs.

✦ Table of Contents

Front Matter ....Pages i-xv
Preliminaries (John N. Mordeson, Sunil Mathew)....Pages 1-13
Connectivity in Fuzzy Graphs (John N. Mordeson, Sunil Mathew)....Pages 15-54
Connectivity and Wiener Indices of Fuzzy Graphs (John N. Mordeson, Sunil Mathew)....Pages 55-91
Distances and Convexity in Fuzzy Graphs (John N. Mordeson, Sunil Mathew)....Pages 93-126
Aggregation Operators and t-Norm Fuzzy Graphs (John N. Mordeson, Sunil Mathew)....Pages 127-175
Dialectic Synthesis (John N. Mordeson, Sunil Mathew)....Pages 177-196
Back Matter ....Pages 197-209

✦ Subjects

Engineering; Computational Intelligence; Graph Theory; Game Theory, Economics, Social and Behav. Sciences