Overview
- Describes advanced concepts of fuzzy graph theory, such as domination in fuzzy graphs and network models
- Discusses a set of applications to human trafficking and control of illegal migration
- Builds on the previous book on fuzzy graph theory by the same authors
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 365)
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Table of contents (7 chapters)
Keywords
- Intuitionistic Fuzzy Graphs
- Complementary Fuzzy Graphs
- Inclusive Connectedness Categories
- Exclusive Connectedness Categories
- Fuzzy Influence Graphs
- Independence and Domination in Fuzzy Graphs
- Quasi-Fuzzy Incidence Graphs
- Interval Valued Fuzzy Graphs
- Dempster’s Rule of Combination
- Directed Fuzzy Networks
- Maximum Flow Algorithm
- Modeling Human Trafficking
- Human Trafficking Analysis
- Decision-making Model with Fuzzy Graphs
About this book
This book reports on advanced concepts in fuzzy graph theory, showing a set of tools that can be successfully applied to understanding and modeling illegal human trafficking. Building on the previous book on fuzzy graph by the same authors, which set the fundamentals for readers to understand this developing field of research, this second book gives a special emphasis to applications of the theory. For this, authors introduce new concepts, such as intuitionistic fuzzy graphs, the concept of independence and domination in fuzzy graphs, as well as directed fuzzy networks, incidence graphs and many more.
Authors and Affiliations
About the authors
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 a President of the Society for Mathematics of Uncertainty. He has published fifteen books and two hundred 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 seventy-five 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 twenty years in teaching and research. His current research topics include fuzzy graph theory, bio-computational modeling, graph theory, fractal geometry, and chaos.Dr. Davender S. Malik is a Professor of Mathematics at Creighton University. He received his Ph.D. from Ohio University and has published more than fifty-five papers and eighteen books on abstract algebra, applied mathematics, graph theory, fuzzy automata theory and languages, fuzzy logic and its applications, programming, data structures, and discrete mathematics.
Bibliographic Information
Book Title: Fuzzy Graph Theory with Applications to Human Trafficking
Authors: John N. Mordeson, Sunil Mathew, Davender S. Malik
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-3-319-76454-2
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-76453-5Published: 22 March 2018
Softcover ISBN: 978-3-030-09494-2Published: 12 January 2019
eBook ISBN: 978-3-319-76454-2Published: 14 March 2018
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: XIX, 250
Topics: Computational Intelligence, Graph Theory, Simulation and Modeling, International Criminal Law , Game Theory, Economics, Social and Behav. Sciences