Advanced Topics in Fuzzy Graph Theory by John N. Mordeson (English) Hardcover Bo

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This book builds on two recently published books by the same authors on fuzzy graph theory. 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.

FORMATHardcover LANGUAGEEnglish CONDITIONBrand New Publisher Description

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.

Back Cover

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.

Author Biography

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.

Table of Contents

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.

Feature

Discusses advanced research topics such as connectivity and t-norm fuzzy graphs Includes a brief introduction to the field of fuzzy sets for newcomers Describes interesting applications to hot real-world socio-political issues

Details ISBN3030042146 Author Sunil Mathew Language English Year 2019 ISBN-10 3030042146 ISBN-13 9783030042141 Format Hardcover Pages 209 Publication Date 2019-01-24 DOI 10.1007/978-3-030-04215-8 Series Number 375 Edition 1st Imprint Springer Nature Switzerland AG Place of Publication Cham Country of Publication Switzerland Illustrations 2 Illustrations, color; 71 Illustrations, black and white; XV, 209 p. 73 illus., 2 illus. in color. Publisher Springer Nature Switzerland AG Edition Description 1st ed. 2019 Series Studies in Fuzziness and Soft Computing DEWEY 006.3 Audience Professional & Vocational We've got this

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