m−Polar Fuzzy Graphs

Theory, Methods & Applications

  • Muhammad Akram

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 371)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Muhammad Akram
    Pages 51-111
  3. Muhammad Akram
    Pages 113-133
  4. Muhammad Akram
    Pages 135-152
  5. Muhammad Akram
    Pages 153-184
  6. Muhammad Akram
    Pages 185-207
  7. Muhammad Akram
    Pages 209-233
  8. Muhammad Akram
    Pages 235-269
  9. Muhammad Akram
    Pages 271-284
  10. Back Matter
    Pages 285-296

About this book


This book provides readers with an introduction to m-polar fuzzy graphs and m-polar fuzzy hypergraphs, covering both theories and applications. A special emphasis is given to m-polar fuzzy graphs at the aim of filling a gap in the literature, namely the absence of a mathematical approach to analyze multi-index, multipolar, and multi-attribute data. The book describes metrics and labeling in m-polar graphs, m-polar fuzzy matroids. It also discusses in detail important applications in decision-making problems and imaging processing. The book is expected to stimulate the curiosity of mathematics, computer scientists, and social scientists alike, and to provide both students and researchers with the necessary knowledge to understand and apply m−polar fuzzy graph theory.


m−Polar Fuzzy Labeling Graphs Isomorphism of m-Polar Fuzzy Graphs Irregular m−Polar Fuzzy Graphs k-Neighbourly Irregular m-Polar Fuzzy Graphs Bipolar Fuzzy Concept Lattice m−Polar Fuzzy Concept Lattice m−Polar Fuzzy Transversals Locally Minimal m−Polar Fuzzy Transversals Multipolar Uncertainty Edge m−Polar Fuzzy Graphs Domination in m-Polar Fuzzy Graphs Multi-Attribute Decision-Making Methods Decision Making with m-Polar Fuzzy Graphs Detecting Women and Child Trafficking m−Polar Fuzzy Graph Structures Transversals of m−Polar Fuzzy Hypergraphs m−Polar Fuzzy Circuits Closures of m−Polar Fuzzy Matroids m−Polar Fuzzy Rank Functions

Authors and affiliations

  • Muhammad Akram
    • 1
  1. 1.Department of MathematicsUniversity of the PunjabLahorePakistan

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