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Introducing the Third-Order Fuzzy Superordination Concept and Related Results

Author

Listed:
  • Georgia Irina Oros

    (Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania)

  • Simona Dzitac

    (Department of Energy Engineering, Faculty of Energy Engineering and Industrial Management, University of Oradea, Universitatii 1, 410087 Oradea, Romania)

  • Daniela Andrada Bardac-Vlada

    (Doctoral School of Engineering Sciences, University of Oradea, 410087 Oradea, Romania)

Abstract

Third-order fuzzy differential subordination studies were recently initiated by developing the main concepts necessary for obtaining new results on this topic. The present paper introduces the dual concept of third-order fuzzy differential superordination by building on the known results that are valid for second-order fuzzy differential superordination. The outcome of this study offers necessary and sufficient conditions for determining subordinants of a third-order fuzzy differential superordination and, furthermore, for finding the best subordinant for such fuzzy differential superordiantion, when it can be obtained. An example to suggest further uses of the new outcome reported in this work is enclosed to conclude this study.

Suggested Citation

  • Georgia Irina Oros & Simona Dzitac & Daniela Andrada Bardac-Vlada, 2024. "Introducing the Third-Order Fuzzy Superordination Concept and Related Results," Mathematics, MDPI, vol. 12(19), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:3095-:d:1491419
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    References listed on IDEAS

    as
    1. Alina Alb Lupaş & Georgia Irina Oros, 2022. "Fuzzy Differential Subordination and Superordination Results Involving the q -Hypergeometric Function and Fractional Calculus Aspects," Mathematics, MDPI, vol. 10(21), pages 1-11, November.
    2. Majed Albaity & Tahir Mahmood & Zeeshan Ali, 2023. "Impact of Machine Learning and Artificial Intelligence in Business Based on Intuitionistic Fuzzy Soft WASPAS Method," Mathematics, MDPI, vol. 11(6), pages 1-21, March.
    3. Faten Fakher Abdulnabi & Hiba F. Al-Janaby & Firas Ghanim & Alina Alb Lupaș, 2023. "Some Results on Third-Order Differential Subordination and Differential Superordination for Analytic Functions Using a Fractional Differential Operator," Mathematics, MDPI, vol. 11(18), pages 1-14, September.
    4. Huo Tang & H. M. Srivastava & Shu-Hai Li & Li-Na Ma, 2014. "Third-Order Differential Subordination and Superordination Results for Meromorphically Multivalent Functions Associated with the Liu-Srivastava Operator," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, July.
    Full references (including those not matched with items on IDEAS)

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