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New Applications of m-Polar Fuzzy Competition Graphs

Author

Listed:
  • Muhammad Akram

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

  • Musavarah Sarwar

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

Abstract

An m-polar fuzzy model is a generalization of the fuzzy model. This model is useful for multi-polar information, multi-agent, multi-attribute and multi-object network models. In this research paper, we first introduce certain new concepts, including m-polar fuzzy digraphs, m-polar fuzzy-out neighborhood, m-polar fuzzy-in neighborhood, m-polar fuzzy competition graphs and m-polar fuzzy k-competition graphs. Moreover, we describe the construction of m-polar fuzzy competition graphs of certain products of m-polar fuzzy digraphs from their respective m-polar fuzzy competition graphs. We present some applications of m-polar fuzzy competition graphs in food webs. Finally, we present certain algorithms for computing strength of competition between species.

Suggested Citation

  • Muhammad Akram & Musavarah Sarwar, 2018. "New Applications of m-Polar Fuzzy Competition Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 249-276, July.
    • Handle: RePEc:wsi:nmncxx:v:14:y:2018:i:02:n:s1793005718500163
    DOI: 10.1142/S1793005718500163
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    References listed on IDEAS

    as
    1. Muhammad Akram & Neha Waseem, 2016. "Certain Metrics in m-Polar Fuzzy Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 135-155, July.
    2. Musavarah Sarwar & Muhammad Akram, 2017. "Novel Applications of m-Polar Fuzzy Concept Lattice," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 261-287, November.
    3. 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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    Citations

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    Cited by:

    1. Young Joo Seo & Hee Sik Kim & Young Bae Jun & Sun Shin Ahn, 2020. "Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras," Mathematics, MDPI, vol. 8(8), pages 1-14, August.
    2. Jeong-Gon Lee & Mohammad Fozouni & Kul Hur & Young Bae Jun, 2020. "A p -Ideal in BCI-Algebras Based on Multipolar Intuitionistic Fuzzy Sets," Mathematics, MDPI, vol. 8(6), pages 1-14, June.
    3. Kyung Tae Kang & Seok-Zun Song & Young Bae Jun, 2020. "Multipolar Intuitionistic Fuzzy Set with Finite Degree and Its Application in BCK/BCI-Algebras," Mathematics, MDPI, vol. 8(2), pages 1-16, February.
    4. Mohammad Mohseni Takallo & Sun Shin Ahn & Rajab Ali Borzooei & Young Bae Jun, 2019. "Multipolar Fuzzy p -Ideals of BCI-Algebras," Mathematics, MDPI, vol. 7(11), pages 1-14, November.
    5. Rajab Ali Borzooei & Hee Sik Kim & Young Bae Jun & Sun Shin Ahn, 2020. "On Multipolar Intuitionistic Fuzzy B -Algebras," Mathematics, MDPI, vol. 8(6), pages 1-12, June.

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