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Graphical Structures of Cubic Intuitionistic Fuzzy Information

Author

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  • Sami Ullah Khan
  • Naeem Jan
  • Kifayat Ullah
  • Lazim Abdullah
  • Basil Papadopoulos

Abstract

The theory developed in this article is based on graphs of cubic intuitionistic fuzzy sets (CIFS) called cubic intuitionistic fuzzy graphs (CIFGs). This graph generalizes the structures of fuzzy graph (FG), intuitionistic fuzzy graph (IFG), and interval-valued fuzzy graph (IVFG). Moreover, several associated concepts are established for CIFG, such as the idea subgraphs, degree of CIFG, order of CIFG, complement of CIFG, path in CIFG, strong CIFG, and the concept of bridges for CIFGs. Furthermore, the generalization of CIFG is proved with the help of some remarks. In addition, the comparison among the existing and the proposed ideas is carried out. Finally, an application of CIFG in decision-making problem is studied, and some future study is proposed.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jjmath:9994977
    DOI: 10.1155/2021/9994977
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