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[Retracted] Novel Concepts in Bipolar Fuzzy Graphs with Applications

Author

Listed:
  • Chang Wan
  • Fei Deng
  • Shitao Li
  • S. Omidbakhsh Amiri
  • A. A. Talebi
  • H. Rashmanlou

Abstract

Many problems of practical interest can be modeled and solved by using bipolar graph algorithms. Bipolar fuzzy graph (BFG), belonging to fuzzy graphs (FGs) family, has good capabilities when facing with problems that cannot be expressed by FGs. Hence, in this paper, we introduce the notion of (ϑ, δ)−homomorphism of BFGs and classify homomorphisms (HMs), weak isomorphisms (WIs), and co‐weak isomorphisms (CWIs) of BFGs by (ϑ, δ)−HMs. Also, an application of homomorphism of BFGs has been presented by using coloring‐FG. Universities are very important organizations whose existence is directly related to the general health of the society. Since the management in each department of the university is very important, therefore, we have tried to determine the most effective person in a university based on the performance of its staff.

Suggested Citation

  • Chang Wan & Fei Deng & Shitao Li & S. Omidbakhsh Amiri & A. A. Talebi & H. Rashmanlou, 2022. "[Retracted] Novel Concepts in Bipolar Fuzzy Graphs with Applications," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:8162474
    DOI: 10.1155/2022/8162474
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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. Zheng Kou & Saeed Kosari & Maryam Akhoundi & Lazim Abdullah, 2021. "A Novel Description on Vague Graph with Application in Transportation Systems," Journal of Mathematics, Hindawi, vol. 2021, pages 1-11, December.
    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. Ali Asghar Talebi & Hossein Rashmanlou, 2014. "Complement and Isomorphism on Bipolar Fuzzy Graphs," Fuzzy Information and Engineering, Taylor & Francis Journals, vol. 6(4), pages 505-522, December.
    5. 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.
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