Advanced Topics in Fuzzy Graph Theory

John N. Mordeson, Sunil Mathew (Autoren)

Buch | Hardcover

XV, 209 Seiten

2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-04214-1 (ISBN)

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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.

Dr. John N. Mordeson is Professor Emeritus of Mathematics at Creighton University. He received his B.S., M.S., and Ph.D. from Iowa State University. He is a Member of Phi Kappa Phi. He is the President of the Society for Mathematics of Uncertainty. He has published 15 books and 200 journal articles. He is on the editorial board of numerous journals. He has served as an external examiner of Ph.D. candidates from India, South Africa, Bulgaria, and Pakistan. He has refereed for numerous journals and granting agencies. He is particularly interested in applying mathematics of uncertainty to combat the problem of human trafficking. Dr. Sunil Mathew is currently a Faculty Member in the Department of Mathematics, NIT Calicut, India. He has acquired his masters from St. Joseph's College Devagiri, Calicut, and Ph.D. from National Institute of Technology Calicut in the area of Fuzzy Graph Theory. He has published more than 75 research papers and written two books. He is a member of several academic bodies and associations. He is editor and reviewer of several international journals. He has an experience of 20 years in teaching and research. His current research topics include fuzzy graph theory, bio-computational modeling, graph theory, fractal geometry, and chaos.

Preliminaries.- Connectivity in Fuzzy Graphs.- Connectivity and Wiener Indices of Fuzzy Graphs.- Distances and Convexity in Fuzzy Graphs.- Aggregation Operators and t-Norm Fuzzy Graphs.- Dialectic Synthesis.

Erscheinungsdatum	26.01.2019
Reihe/Serie	Studies in Fuzziness and Soft Computing
Zusatzinfo	XV, 209 p. 73 illus., 2 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	508 g
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Technik
Schlagworte	Average Connectivity Index • Average Fuzzy Vertex Connectivity • Boundary and Interior Vertices • Fuzzy Geodetic Convex Sets • Modeling Susceptibility of Routes to Trafficking • Models of Real World Situations • T-connected Graphs • T-Norm Fuzzy Graphs
ISBN-10	3-030-04214-6 / 3030042146
ISBN-13	978-3-030-04214-1 / 9783030042141
Zustand	Neuware