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Novel Concepts in Vague Graphs with Application in Hospital’s Management System

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Listed:
  • Xiaolong Shi
  • Saeed Kosari
  • N. Mehdipoor
  • A.A. Talebi
  • G. Muhiuddin

Abstract

Many problems of practical interest can be modeled and solved by using vague graph (VG) algorithms. Vague graphs, belonging to the fuzzy graphs (FGs) family, have good capabilities when faced with problems that cannot be expressed by FGs. Hence, in this paper, we introduce the notion of (η, γ)‐ HMs of VGs and classify homomorphisms (HMs), weak isomorphisms (WIs), and coweak isomorphisms (CWIs) of VGs by (η, γ)‐ HMs. Hospitals are very important organizations whose existence is directly related to the general health of the community. Hence, since the management in each ward of the hospital is very important, we have tried to determine the most effective person in a hospital based on the performance of its staff.

Suggested Citation

  • Xiaolong Shi & Saeed Kosari & N. Mehdipoor & A.A. Talebi & G. Muhiuddin, 2022. "Novel Concepts in Vague Graphs with Application in Hospital’s Management System," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:9129386
    DOI: 10.1155/2022/9129386
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    References listed on IDEAS

    as
    1. Yongsheng Rao & Saeed Kosari & Zehui Shao, 2020. "Certain Properties of Vague Graphs with a Novel Application," Mathematics, MDPI, vol. 8(10), pages 1-25, September.
    2. Naeem Jan & Kifayat Ullah & Tahir Mahmood & Harish Garg & Bijan Davvaz & Arsham Borumand Saeid & Said Broumi, 2019. "Some Root Level Modifications in Interval Valued Fuzzy Graphs and Their Generalizations Including Neutrosophic Graphs," Mathematics, MDPI, vol. 7(1), pages 1-22, January.
    3. G. Muhiuddin & N. Sridharan & D. Al-Kadi & S. Amutha & M. E. Elnair & Ismail Naci Cangul, 2021. "Reinforcement Number of a Graph with respect to Half-Domination," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, April.
    4. Muhammad Akram & Wieslaw A. Dudek & M. Murtaza Yousaf, 2014. "Regularity in Vague Intersection Graphs and Vague Line Graphs," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, April.
    5. Muhammad Akram & Wieslaw A. Dudek & M. Murtaza Yousaf, 2014. "Regularity in Vague Intersection Graphs and Vague Line Graphs," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Hossein Rashmanlou & Sovan Samanta & Madhumangal Pal & Rajab Ali Borzooei, 2015. "Intuitionistic Fuzzy Graphs with Categorical Properties," Fuzzy Information and Engineering, Taylor & Francis Journals, vol. 7(3), pages 317-334, September.
    7. Huiqin Jiang & Ali Asghar Talebi & Zehui Shao & Seyed Hossein Sadati & Hossein Rashmanlou, 2022. "New Concepts of Vertex Covering in Cubic Graphs with Its Applications," Mathematics, MDPI, vol. 10(3), pages 1-29, January.
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