Authors:
- Discusses decision making methods under bipolar fuzzy graphical models
- Presents the applications of these concepts to real-world problems in areas of product manufacturing, international relations, psychology, and political science
- Includes rigorous mathematical proofs with each concepts
- Appeals to researchers, computer scientists, social scientists and alike
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 401)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
This monograph discusses decision making methods under bipolar fuzzy graphical models with the aim of overcoming the lack of mathematical approach towards bipolar information—positive and negative. It investigates the properties of bipolar fuzzy graphs, their distance functions, and concept of their isomorphism. It presents certain notions, including irregular bipolar fuzzy graphs, domination in bipolar fuzzy graphs, bipolar fuzzy circuits, energy in bipolar fuzzy graphs, bipolar single-valued neutrosophic competition graphs, and bipolar neutrosophic graph structures. This book also presents the applications of mentioned concepts to real-world problems in areas of product manufacturing, international relations, psychology, global terrorism and more, making it valuable for researchers, computer scientists, social scientists and alike.
Authors and Affiliations
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Department of Mathematics, University of the Punjab, Lahore, Pakistan
Muhammad Akram
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Department of Mathematics, Govt. College Women University, Sialkot, Pakistan
Musavarah Sarwar
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Faculty of Pure and Applied Mathematics, Wrocław University of Technology, Wroclaw, Poland
Wieslaw A. Dudek
About the authors
MUHAMMAD AKRAM is Professor at the Department of Mathematics, University of the Punjab, Lahore, Pakistan. He previously served at Punjab University College of Information Technology as Assistant Professor and Associate Professor. He earned his Ph.D. in Fuzzy Mathematics from Government College University, Lahore, Pakistan. His research interests include numerical algorithms, fuzzy graphs, fuzzy algebras, and fuzzy decision support systems. He has published 09 books and over 365 research articles in peer-reviewed international journals and supervised 12 Ph.D. students.
Bibliographic Information
Book Title: Graphs for the Analysis of Bipolar Fuzzy Information
Authors: Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-981-15-8756-6
Publisher: Springer Singapore
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
Hardcover ISBN: 978-981-15-8755-9Published: 03 November 2020
Softcover ISBN: 978-981-15-8758-0Published: 04 November 2021
eBook ISBN: 978-981-15-8756-6Published: 02 November 2020
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: XXVIII, 452
Number of Illustrations: 239 b/w illustrations, 2 illustrations in colour
Topics: Graph Theory