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Complex Intuitionistic Fuzzy Graphs with Application in Cellular Network Provider Companies

Author

Listed:
  • Naveed Yaqoob

    (Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi 11932, Saudi Arabia)

  • Muhammad Gulistan

    (Department of Mathematics and Statistics, Hazara University, Mansehra 21130, Pakistan)

  • Seifedine Kadry

    (Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, P.O. Box 11-5020, Beirut, Lebanon)

  • Hafiz Abdul Wahab

    (Department of Mathematics and Statistics, Hazara University, Mansehra 21130, Pakistan)

Abstract

In recent years, a mathematical approach of blending different aspects is on the way, which as a result gives a more generalized approach. Following the above mathematical approach, we combine two very powerful techniques, namely complex intuitionistic fuzzy sets and graph theory, and introduce the notion of complex intuitionistic fuzzy graphs. Then, we introduce certain notions including union, join and composition of complex intuitionistic fuzzy graphs, through which one can easily manipulate the complex intuitionistic fuzzy graphs in decision making problems. We elucidate these operations with some examples. We also describe the homomorphisms of complex intuitionistic fuzzy graphs. Finally, we provide an application in cellular network provider companies for the testing of our approach.

Suggested Citation

  • Naveed Yaqoob & Muhammad Gulistan & Seifedine Kadry & Hafiz Abdul Wahab, 2019. "Complex Intuitionistic Fuzzy Graphs with Application in Cellular Network Provider Companies," Mathematics, MDPI, vol. 7(1), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:35-:d:194267
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    References listed on IDEAS

    as
    1. Abd Ulazeez M. Alkouri & Abdul Razak Salleh, 2013. "Complex Atanassov's Intuitionistic Fuzzy Relation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-18, June.
    2. Noura Alshehri & Muhammad Akram, 2014. "Intuitionistic Fuzzy Planar Graphs," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-9, August.
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    Cited by:

    1. Zeeshan Ali & Tahir Mahmood & Miin-Shen Yang, 2020. "TOPSIS Method Based on Complex Spherical Fuzzy Sets with Bonferroni Mean Operators," Mathematics, MDPI, vol. 8(10), pages 1-19, October.
    2. Mohammed Alqahtani & M. Kaviyarasu & Anas Al-Masarwah & M. Rajeshwari, 2024. "Application of Complex Neutrosophic Graphs in Hospital Infrastructure Design," Mathematics, MDPI, vol. 12(5), pages 1-23, February.
    3. Nour Abed Alhaleem & Abd Ghafur Ahmad, 2020. "Intuitionistic Fuzzy Normed Subrings and Intuitionistic Fuzzy Normed Ideals," Mathematics, MDPI, vol. 8(9), pages 1-9, September.

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