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q -Rung Orthopair Fuzzy Competition Graphs with Application in the Soil Ecosystem

Author

Listed:
  • Amna Habib

    (Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan)

  • Muhammad Akram

    (Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan)

  • Adeel Farooq

    (Department of Mathematics, COMSATS University Islamabad, Lahore Campus 54590, Pakistan)

Abstract

The q -rung orthopair fuzzy set is a powerful tool for depicting fuzziness and uncertainty, as compared to the Pythagorean fuzzy model. The aim of this paper is to present q -rung orthopair fuzzy competition graphs ( q -ROFCGs) and their generalizations, including q -rung orthopair fuzzy k -competition graphs, p -competition q -rung orthopair fuzzy graphs and m -step q -rung orthopair fuzzy competition graphs with several important properties. The study proposes the novel concepts of q -rung orthopair fuzzy cliques and triangulated q -rung orthopair fuzzy graphs with real-life characterizations. In particular, the present work evolves the notion of competition number and m -step competition number of q -rung picture fuzzy graphs with algorithms and explores their bounds in connection with the size of the smallest q -rung orthopair fuzzy edge clique cover. In addition, an application is illustrated in the soil ecosystem with an algorithm to highlight the contributions of this research article in practical applications.

Suggested Citation

  • Amna Habib & Muhammad Akram & Adeel Farooq, 2019. "q -Rung Orthopair Fuzzy Competition Graphs with Application in the Soil Ecosystem," Mathematics, MDPI, vol. 7(1), pages 1-33, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:91-:d:198330
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    References listed on IDEAS

    as
    1. Muhammad Akram & Jawaria Mohsan Dar & Adeel Farooq, 2018. "Planar Graphs under Pythagorean Fuzzy Environment," Mathematics, MDPI, vol. 6(12), pages 1-28, November.
    2. Sovan Samanta & Madhumangal Pal, 2013. "Fuzzy k-competition graphs and p-competition fuzzy graphs," Fuzzy Information and Engineering, Springer, vol. 5(2), pages 191-204, June.
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    Cited by:

    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.

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