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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 25 , Issue 3 , PP: 573-592, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Soft Computing with Neutrosophic and fractional order frameworks: A state-of-the-Art review

Kottakkaran Sooppy Nisar 1 * , Muhammad Farman 2 , Harish Garg 3 , Mahmoud Abdel-Aty 4

  • 1 Department of Mathematics, College of Science and Humanities in Al Kharj, Prince Sattam bin Abdulaziz University, Al Kharj, Saudi Arabia - (n.sooppy@psau.edu.sa)
  • 2 Faculty of Arts and Science, Department of Mathematics, Near East University, 99138 Nicosia, Cyprus - (farmanlink@gmail.com)
  • 3 Department of Mathematics, Thapar Institute of Engineering & Technology, Patiala, Punjab, India - (harishg58iitr@gmail.com)
  • 4 Jadara Research Center, Jadara University. P.O.Box 733, Irbid 21110, Jordan; College of Engineering, Abu Dhabi University, Abu Dhabi, United Arab Emirates - (amisaty@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.250345

    Received: August 21, 2024 Revised: November 10, 2024 Accepted: November 18, 2024
    Abstract

    This study reviews a comprehensive mathematical framework known as neutrosophic soft sets, which combines neutrosophic theory with the soft set theory. Also, we review neutrosophic fractional order functions. For decision making, this framework effectively conveys ambiguity and uncertainty. The developments in soft set theory and neutrosophic set theory are thoroughly examined in this article. We review the advancements of both theories in general. We examine the qualities, applications, and theoretical underpinnings of both theories. We study the combination of neutrosophic soft set theory and logic. The study talks about important new developments and techniques that make neutrosophic soft suites better at solving difficult real-world problems that aren’t always clear. To promote the advancement of the discipline, we also provide a comprehensive overview of the theories derived from literature methodologies, and propose potential avenues for future research. This review serves as an important resource for researchers and practitioners wishing to utilize neutrophil suites in their work. It provides a deeper understanding of the potential effects and applications. This review also addresses a discussion on fractional order neutrosophic sets (FONS). The fractional order component offers an additional degree of freedom, enhancing the adaptability of neutrosophic sets for many applications.

    Keywords :

    Neutrosophic sets , Soft sets , Neutrosophic fractional order functions , Decision making , Fuzzy logic

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    Cite This Article As :
    Sooppy, Kottakkaran. , Farman, Muhammad. , Garg, Harish. , Abdel-Aty, Mahmoud. Soft Computing with Neutrosophic and fractional order frameworks: A state-of-the-Art review. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 573-592. DOI: https://doi.org/10.54216/IJNS.250345
    Sooppy, K. Farman, M. Garg, H. Abdel-Aty, M. (2025). Soft Computing with Neutrosophic and fractional order frameworks: A state-of-the-Art review. International Journal of Neutrosophic Science, (), 573-592. DOI: https://doi.org/10.54216/IJNS.250345
    Sooppy, Kottakkaran. Farman, Muhammad. Garg, Harish. Abdel-Aty, Mahmoud. Soft Computing with Neutrosophic and fractional order frameworks: A state-of-the-Art review. International Journal of Neutrosophic Science , no. (2025): 573-592. DOI: https://doi.org/10.54216/IJNS.250345
    Sooppy, K. , Farman, M. , Garg, H. , Abdel-Aty, M. (2025) . Soft Computing with Neutrosophic and fractional order frameworks: A state-of-the-Art review. International Journal of Neutrosophic Science , () , 573-592 . DOI: https://doi.org/10.54216/IJNS.250345
    Sooppy K. , Farman M. , Garg H. , Abdel-Aty M. [2025]. Soft Computing with Neutrosophic and fractional order frameworks: A state-of-the-Art review. International Journal of Neutrosophic Science. (): 573-592. DOI: https://doi.org/10.54216/IJNS.250345
    Sooppy, K. Farman, M. Garg, H. Abdel-Aty, M. "Soft Computing with Neutrosophic and fractional order frameworks: A state-of-the-Art review," International Journal of Neutrosophic Science, vol. , no. , pp. 573-592, 2025. DOI: https://doi.org/10.54216/IJNS.250345

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