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Certain Concepts in m‐Polar Fuzzy Graph Structures

Author

Listed:
  • Muhammad Akram
  • Noura Alshehri
  • Rabia Akmal

Abstract

We apply the concept of m‐polar fuzzy sets to graph structures. We introduce certain concepts in m‐polar fuzzy graph structures, including strong m‐polar fuzzy graph structure, m‐polar fuzzy Di‐cycle, m‐polar fuzzy Di‐tree, m‐polar fuzzy Di‐cut vertex, and m‐polar fuzzy Di‐bridge, and we illustrate these concepts by several examples. We present the notions of ϕ‐complement of an m‐polar fuzzy graph structure and self‐complementary, strong self‐complementary, totally strong self‐complementary m‐polar fuzzy graph structures, and we investigate some of their properties.

Suggested Citation

  • Muhammad Akram & Noura Alshehri & Rabia Akmal, 2016. "Certain Concepts in m‐Polar Fuzzy Graph Structures," Discrete Dynamics in Nature and Society, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnddns:v:2016:y:2016:i:1:n:6301693
    DOI: 10.1155/2016/6301693
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    References listed on IDEAS

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    1. Muhammad Akram & Neha Waseem, 2016. "Certain Metrics in m-Polar Fuzzy Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 135-155, July.
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