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Intuitionistic Fuzzy Planar Graphs

Author

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  • Noura Alshehri
  • Muhammad Akram

Abstract

Graph theory has numerous applications in modern sciences and technology. Atanassov introduced the concept of intuitionistic fuzzy sets as a generalization of fuzzy sets. Intuitionistic fuzzy set has shown advantages in handling vagueness and uncertainty compared to fuzzy set. In this paper, we apply the concept of intuitionistic fuzzy sets to multigraphs, planar graphs, and dual graphs. We introduce the notions of intuitionistic fuzzy multigraphs, intuitionistic fuzzy planar graphs, and intuitionistic fuzzy dual graphs and investigate some of their interesting properties. We also study isomorphism between intuitionistic fuzzy planar graphs.

Suggested Citation

  • Noura Alshehri & Muhammad Akram, 2014. "Intuitionistic Fuzzy Planar Graphs," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-9, August.
    • Handle: RePEc:hin:jnddns:397823
    DOI: 10.1155/2014/397823
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    Cited by:

    1. Muhammad Akram & Jawaria Mohsan Dar & Adeel Farooq, 2018. "Planar Graphs under Pythagorean Fuzzy Environment," Mathematics, MDPI, vol. 6(12), pages 1-28, November.
    2. Naveed Yaqoob & Muhammad Gulistan & Seifedine Kadry & Hafiz Abdul Wahab, 2019. "Complex Intuitionistic Fuzzy Graphs with Application in Cellular Network Provider Companies," Mathematics, MDPI, vol. 7(1), pages 1-18, January.

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