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Connectivity Status of Intuitionistic Fuzzy Graph and Its Application to Merging of Banks

Author

Listed:
  • Jayanta Bera

    (Department of Mathematics, Sungkyunkwan University, Suwon 16419, Gyeonggi-do, Republic of Korea)

  • Kinkar Chandra Das

    (Department of Mathematics, Sungkyunkwan University, Suwon 16419, Gyeonggi-do, Republic of Korea)

  • Sovan Samanta

    (Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk 721636, West Bengal, India)

  • Jeong-Gon Lee

    (Division of Applied Mathematics, Wonkwang University, 460, Iksan-daero, Iksan-si 54538, Jeonbuk, Republic of Korea)

Abstract

Intuitionistic fuzzy graph theory is used to represent ambiguous networks, such as financial and social networks. The connectivity of such networks has a significant role in analyzing the network characteristics. This study investigates the connectivity status of vertices in an intuitionistic fuzzy graph. Few properties have been established. Some areas of applications are shown for merging different banks and finding the central affected nodes by any infectious diseases.

Suggested Citation

  • Jayanta Bera & Kinkar Chandra Das & Sovan Samanta & Jeong-Gon Lee, 2023. "Connectivity Status of Intuitionistic Fuzzy Graph and Its Application to Merging of Banks," Mathematics, MDPI, vol. 11(8), pages 1-25, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1949-:d:1128714
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    References listed on IDEAS

    as
    1. Tulat Naeem & Abdu Gumaei & Muhammad Kamran Jamil & Ahmed Alsanad & Kifayat Ullah, 2021. "Connectivity Indices of Intuitionistic Fuzzy Graphs and Their Applications in Internet Routing and Transport Network Flow," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-16, August.
    2. Arya Sebastian & John N Mordeson & Sunil Mathew, 2020. "Generalized Fuzzy Graph Connectivity Parameters with Application to Human Trafficking," Mathematics, MDPI, vol. 8(3), pages 1-21, March.
    3. Juanyan Fang & Irfan Nazeer & Tabasam Rashid & Jia-Bao Liu, 2021. "Connectivity and Wiener Index of Fuzzy Incidence Graphs," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-7, February.
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    Cited by:

    1. Wajid Ali & Tanzeela Shaheen & Hamza Ghazanfar Toor & Faraz Akram & Md. Zia Uddin & Mohammad Mehedi Hassan, 2023. "An Innovative Decision Model Utilizing Intuitionistic Hesitant Fuzzy Aczel-Alsina Aggregation Operators and Its Application," Mathematics, MDPI, vol. 11(12), pages 1-22, June.

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