IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i14p3129-d1194688.html
   My bibliography  Save this article

Fuzzy Differential Subordination and Superordination Results for Fractional Integral Associated with Dziok-Srivastava Operator

Author

Listed:
  • Alina Alb Lupaş

    (Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania)

Abstract

Fuzzy set theory, introduced by Zadeh, gives an adaptable and logical solution to the provocation of introducing, evaluating, and opposing numerous sustainability scenarios. The results described in this article use the fuzzy set concept embedded into the theories of differential subordination and superordination from the geometric function theory. In 2011, fuzzy differential subordination was defined as an extension of the classical notion of differential subordination, and in 2017, the dual concept of fuzzy differential superordination appeared. These dual notions are applied in this paper regarding the fractional integral applied to Dziok–Srivastava operator. New fuzzy differential subordinations are proved using known lemmas, and the fuzzy best dominants are established for the obtained fuzzy differential subordinations. Dual results regarding fuzzy differential superordinations are proved for which the fuzzy best subordinates are shown. These are the first results that link the fractional integral applied to Dziok–Srivastava operator to fuzzy theory.

Suggested Citation

  • Alina Alb Lupaş, 2023. "Fuzzy Differential Subordination and Superordination Results for Fractional Integral Associated with Dziok-Srivastava Operator," Mathematics, MDPI, vol. 11(14), pages 1-20, July.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3129-:d:1194688
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/14/3129/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/14/3129/
    Download Restriction: no
    ---><---

    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. Alina Alb Lupaş, 2021. "Applications of the Fractional Calculus in Fuzzy Differential Subordinations and Superordinations," Mathematics, MDPI, vol. 9(20), pages 1-10, October.
    3. Thi-Ly Nguyen & Phi-Hung Nguyen & Hong-Anh Pham & Thi-Giang Nguyen & Duc-Thinh Nguyen & Thi-Hoai Tran & Hong-Cham Le & Huong-Thuy Phung, 2022. "A Novel Integrating Data Envelopment Analysis and Spherical Fuzzy MCDM Approach for Sustainable Supplier Selection in Steel Industry," Mathematics, MDPI, vol. 10(11), pages 1-28, June.
    4. Simona Dzitac & Sorin Nădăban, 2021. "Soft Computing for Decision-Making in Fuzzy Environments: A Tribute to Professor Ioan Dzitac," Mathematics, MDPI, vol. 9(14), pages 1-11, July.
    5. Patchara Phochanikorn & Chunqiao Tan, 2019. "A New Extension to a Multi-Criteria Decision-Making Model for Sustainable Supplier Selection under an Intuitionistic Fuzzy Environment," Sustainability, MDPI, vol. 11(19), pages 1-24, September.
    6. Georgia Irina Oros & Simona Dzitac, 2022. "Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations," Mathematics, MDPI, vol. 10(10), pages 1-18, May.
    7. F. Ghanim & Hiba F. Al-Janaby & Marwan Al-Momani & Belal Batiha, 2022. "Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator," Mathematics, MDPI, vol. 10(18), pages 1-10, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Sorin Nădăban, 2022. "Fuzzy Logic and Soft Computing—Dedicated to the Centenary of the Birth of Lotfi A. Zadeh (1921–2017)," Mathematics, MDPI, vol. 10(17), pages 1-3, September.
    3. Georgia Irina Oros & Simona Dzitac, 2022. "Applications of Subordination Chains and Fractional Integral in Fuzzy Differential Subordinations," Mathematics, MDPI, vol. 10(10), pages 1-18, May.
    4. Pratibha Rani & Arunodaya Raj Mishra & Abbas Mardani & Fausto Cavallaro & Dalia Štreimikienė & Syed Abdul Rehman Khan, 2020. "Pythagorean Fuzzy SWARA–VIKOR Framework for Performance Evaluation of Solar Panel Selection," Sustainability, MDPI, vol. 12(10), pages 1-18, May.
    5. Koray Altintas & Ozalp Vayvay & Sinan Apak & Emine Cobanoglu, 2020. "An Extended GRA Method Integrated with Fuzzy AHP to Construct a Multidimensional Index for Ranking Overall Energy Sustainability Performances," Sustainability, MDPI, vol. 12(4), pages 1-21, February.
    6. Rodica Chetroiu & Ana Elena Cișmileanu & Elena Cofas & Ionut Laurentiu Petre & Steliana Rodino & Vili Dragomir & Ancuța Marin & Petruța Antoneta Turek-Rahoveanu, 2022. "Assessment of the Relations for Determining the Profitability of Dairy Farms, A Premise of Their Economic Sustainability," Sustainability, MDPI, vol. 14(12), pages 1-17, June.
    7. Fatih Ecer, 2022. "Multi-criteria decision making for green supplier selection using interval type-2 fuzzy AHP: a case study of a home appliance manufacturer," Operational Research, Springer, vol. 22(1), pages 199-233, March.
    8. Sophia Xiaoxia Duan & Santoso Wibowo & Josephine Chong, 2021. "A Multicriteria Analysis Approach for Evaluating the Performance of Agriculture Decision Support Systems for Sustainable Agribusiness," Mathematics, MDPI, vol. 9(8), pages 1-16, April.
    9. Phi-Hung Nguyen, 2023. "A Fully Completed Spherical Fuzzy Data-Driven Model for Analyzing Employee Satisfaction in Logistics Service Industry," Mathematics, MDPI, vol. 11(10), pages 1-34, May.
    10. Radosław Depczyński & Jim Secka & Katarzyna Cheba & Carlotta D’Alessandro & Katarzyna Szopik-Depczyńska, 2023. "Decision-Making Approach in Sustainability Assessment in Steel Manufacturing Companies—Systematic Literature Review," Sustainability, MDPI, vol. 15(15), pages 1-15, July.
    11. Ananna Paul & Nagesh Shukla & Sanjoy Kumar Paul & Andrea Trianni, 2021. "Sustainable Supply Chain Management and Multi-Criteria Decision-Making Methods: A Systematic Review," Sustainability, MDPI, vol. 13(13), pages 1-28, June.
    12. Bihter Gizem Demircan & Kaan Yetilmezsoy, 2023. "A Hybrid Fuzzy AHP-TOPSIS Approach for Implementation of Smart Sustainable Waste Management Strategies," Sustainability, MDPI, vol. 15(8), pages 1-23, April.
    13. Khoiron Khulud & Ilyas Masudin & Fien Zulfikarijah & Dian Palupi Restuputri & Abdul Haris, 2023. "Sustainable Supplier Selection through Multi-Criteria Decision Making (MCDM) Approach: A Bibliometric Analysis," Logistics, MDPI, vol. 7(4), pages 1-21, December.
    14. 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.
    15. Alina Alb Lupaş & Georgia Irina Oros, 2023. "Strong Differential Subordinations and Superordinations for Riemann–Liouville Fractional Integral of Extended q -Hypergeometric Function," Mathematics, MDPI, vol. 11(21), pages 1-15, October.
    16. Abdullah Alsoboh & Ala Amourah & Maslina Darus & Carla Amoi Rudder, 2023. "Studying the Harmonic Functions Associated with Quantum Calculus," Mathematics, MDPI, vol. 11(10), pages 1-11, May.
    17. Ekram E. Ali & Georgia Irina Oros & Shujaat Ali Shah & Abeer M. Albalahi, 2023. "Applications of q -Calculus Multiplier Operators and Subordination for the Study of Particular Analytic Function Subclasses," Mathematics, MDPI, vol. 11(12), pages 1-15, June.
    18. Qaisar Khan & Jeonghwan Gwak & Muhammad Shahzad & Muhammad Kamran Alam, 2021. "A Novel Approached Based on T-Spherical Fuzzy Schweizer-Sklar Power Heronian Mean Operator for Evaluating Water Reuse Applications under Uncertainty," Sustainability, MDPI, vol. 13(13), pages 1-35, June.
    19. Miguel Ortiz-Barrios & Juan Cabarcas-Reyes & Alessio Ishizaka & Maria Barbati & Natalia Jaramillo-Rueda & Giovani Jesús Carrascal-Zambrano, 2021. "A hybrid fuzzy multi-criteria decision making model for selecting a sustainable supplier of forklift filters: a case study from the mining industry," Annals of Operations Research, Springer, vol. 307(1), pages 443-481, December.
    20. Jong Hyen Kim & Byeong Seok Ahn, 2020. "The Hierarchical VIKOR Method with Incomplete Information: Supplier Selection Problem," Sustainability, MDPI, vol. 12(22), pages 1-15, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3129-:d:1194688. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.