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Complex t-Intuitionistic Fuzzy Graph with Applications of Rubber Industrial Water Wastes

Author

Listed:
  • Murugan Kaviyarasu

    (Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai 600062, India)

  • Mohammed Alqahtani

    (Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, P.O. Box 93499, Riyadh 11673, Saudi Arabia)

  • Murugesan Rajeshwari

    (Department of Mathematics, Presidency University, Bangalore 560064, India)

  • Gopikumar Sudalaimuthu

    (Department of Civil Engineering, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai 600062, India)

Abstract

The main concept involved in this study explains the theme of complex t-intuitionistic fuzzy graphs (CTIFGs), which act as a powerful tool in analyzing and displaying the relationships among various applications that are difficult to recognize. The manuscript also demonstrates the capability of CTIFGs to create complex associations with multiple domains when considering a physical situation. Following this, the basic set of operations for CTIFGs is projected. The ideas on isomorphism and homomorphism of the CTIFGs are also presented. Moreover, the manuscript describes the importance of the above-mentioned technique in an effective way, giving a solution to the practical application associated with rubber processing industrial wastewater. The contributing factors and corresponding interdependencies are considered when calibrating the complex nature of industrial wastewater associated with the CTIFGs. The results highlight the adaptability and possible efficiencies of CTIFGs, which act as a decision-making tool and also indicate their importance for policy planners in important societal issues.

Suggested Citation

  • Murugan Kaviyarasu & Mohammed Alqahtani & Murugesan Rajeshwari & Gopikumar Sudalaimuthu, 2024. "Complex t-Intuitionistic Fuzzy Graph with Applications of Rubber Industrial Water Wastes," Mathematics, MDPI, vol. 12(13), pages 1-30, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:1950-:d:1420678
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    References listed on IDEAS

    as
    1. Anushree Bhattacharya & Madhumangal Pal, 2023. "A Fuzzy Graph Theory Approach to the Facility Location Problem: A Case Study in the Indian Banking System," Mathematics, MDPI, vol. 11(13), pages 1-19, July.
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