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Wiener Index of Intuitionistic Fuzzy Graphs with an Application to Transport Network Flow

Author

Listed:
  • Tulat Naeem
  • Muhammad Kamran Jamil
  • Khawaja Muhammad Fahd
  • Abdu alAmeri

Abstract

The Wiener index WI is one of the connectivity parameters used to know the biochemical and physicochemical properties of compounds depending upon their molecular structures. Intuitionistic fuzzy graphs (IFGs) are a convenient tool to represent the objects and relations between them with two types of information using truth membership degree and falsity membership degree. This research work presents the concept of WI under the structure IFGs, IF trees, and IF cycles. Some bounds on WI are investigated. The relationship between WI and connectivity index CI is also studied. In the end of this study, an application of the WI in transport network flow is proposed.

Suggested Citation

  • Tulat Naeem & Muhammad Kamran Jamil & Khawaja Muhammad Fahd & Abdu alAmeri, 2022. "Wiener Index of Intuitionistic Fuzzy Graphs with an Application to Transport Network Flow," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:8016096
    DOI: 10.1155/2022/8016096
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    References listed on IDEAS

    as
    1. Zehui Shao & Saeed Kosari & Hossein Rashmanlou & Muhammad Shoaib, 2020. "New Concepts in Intuitionistic Fuzzy Graph with Application in Water Supplier Systems," Mathematics, MDPI, vol. 8(8), pages 1-17, July.
    2. Muzzamal Sitara & Muhammad Akram & Muhammad Yousaf Bhatti, 2019. "Fuzzy Graph Structures with Application," Mathematics, MDPI, vol. 7(1), pages 1-22, January.
    3. Madhumangal Pal & Sovan Samanta & Ganesh Ghorai, 2020. "Few Applications of Fuzzy Graphs," Springer Books, in: Modern Trends in Fuzzy Graph Theory, chapter 0, pages 275-305, Springer.
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