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Graphs for the Analysis of Bipolar Fuzzy Information

  • Book
  • © 2021

Overview

Authors:
  1. Muhammad Akram

    1. Department of Mathematics, University of the Punjab, Lahore, Pakistan

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  2. Musavarah Sarwar

    1. Department of Mathematics, Govt. College Women University, Sialkot, Pakistan

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  3. Wieslaw A. Dudek

    1. Faculty of Pure and Applied Mathematics, Wrocław University of Technology, Wroclaw, Poland

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  • 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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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.

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xxviii
    Download chapter PDF

  2. Bipolar Fuzzy Sets and Bipolar Fuzzy Graphs

    • Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek
    Pages 1-80

  3. Distance Measures in Bipolar Fuzzy Graphs

    • Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek
    Pages 81-126

  4. Special Types of Bipolar Fuzzy Graphs

    • Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek
    Pages 127-159

  5. Bipolar Fuzzy Competition Graphs

    • Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek
    Pages 161-222

  6. Bipolar Fuzzy Planar Graphs

    • Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek
    Pages 223-251

  7. Domination in Bipolar Fuzzy Graphs

    • Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek
    Pages 253-280

  8. Bipolar Fuzzy Circuits

    • Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek
    Pages 281-307

  9. Energy of Bipolar Fuzzy Graphs

    • Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek
    Pages 309-347

  10. Bipolar Neutrosophic Competition Graphs

    • Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek
    Pages 349-391

  11. Bipolar Neutrosophic Graph Structures

    • Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek
    Pages 393-446

  12. Back Matter

    Pages 447-452
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Authors and Affiliations

  • Department of Mathematics, University of the Punjab, Lahore, Pakistan

    Muhammad Akram

  • Department of Mathematics, Govt. College Women University, Sialkot, Pakistan

    Musavarah Sarwar

  • 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.

MUSAVARAH SARWAR is Assistant Professor at Government College Women University, Sialkot, Pakistan. A gold medalist in academic excellence, Dr Sarwar received her Ph.D. in Mathematics from the University of the Punjab, Lahore, Pakistan. Her research interests include graph theory, fuzzy graphs and fuzzy decision support systems/decision-making models. She has published 18 research articles in international peer-reviewed journals.    

WIESLAW ALEKSANDER DUDEK is Professor at the Department of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wrocław, Poland. He completed his Ph.D. in Mathematics at the Department of Higher Algebra, State University of Chisinau, Republic of Moldova, under the supervision of Prof. V.D. Belousov. He received his Degree of Habilitated Doctor from the Warsaw University of Technology. The main areas of his scientific interests include polyadic groups, quasigroups, fuzzy algebras, fuzzy graphs and their applications. Professor Dudek has authored 2 monographs, 4 textbooks, and published 200 research articles in international peer-reviewed journals. He is Editor-in-Chief of the journal Quasigroups and Related Systems and on the editorial board of several international journals. He has promoted 4 doctors of mathematics.


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

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