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Cubic Pythagorean Fuzzy Graphs

Author

Listed:
  • G. Muhiuddin
  • Saira Hameed
  • Afeefa Maryam
  • Uzma Ahmad

Abstract

The purpose of the study is to explore graph theory based on cubic Pythagorean fuzzy sets. The concept of cubic Pythagorean fuzzy graphs (CuPFGs) is introduced in this research work. In addition, we define certain fundamental operations on CuPFGs including semistrong product, lexicographical product, and symmetric difference of two CuPFGs and demonstrate some of their key characteristics. Meanwhile, to investigate the preference of decision makers, cubic Pythagorean fuzzy preference relation is defined. Moreover, through a practical example, the applicability of our proposed work in multicriteria decision‐making is described, and to clarify the organization of the proposed method, a frame diagram is presented.

Suggested Citation

  • G. Muhiuddin & Saira Hameed & Afeefa Maryam & Uzma Ahmad, 2022. "Cubic Pythagorean Fuzzy Graphs," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:1144666
    DOI: 10.1155/2022/1144666
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    References listed on IDEAS

    as
    1. Muhammad Akram & Sumera Naz, 2018. "Energy of Pythagorean Fuzzy Graphs with Applications," Mathematics, MDPI, vol. 6(8), pages 1-27, August.
    2. Muhammad Akram & Noura Omair Alshehri & Wieslaw A. Dudek, 2013. "Certain Types of Interval‐Valued Fuzzy Graphs," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    3. Muhammad Akram & Noura Omair Alshehri & Wieslaw A. Dudek, 2013. "Certain Types of Interval-Valued Fuzzy Graphs," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-11, October.
    4. Sami Ullah Khan & Naeem Jan & Kifayat Ullah & Lazim Abdullah & Basil Papadopoulos, 2021. "Graphical Structures of Cubic Intuitionistic Fuzzy Information," Journal of Mathematics, Hindawi, vol. 2021, pages 1-21, May.
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