International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3383 2020 2020 Department of Mathematics, College of Science and Humanities in Al Kharj, Prince Sattam bin Abdulaziz University, Al Kharj, Saudi Arabia Kottakkaran Kottakkaran Faculty of Arts and Science, Department of Mathematics, Near East University, 99138 Nicosia, Cyprus Muhammad Farman Department of Mathematics, Thapar Institute of Engineering & Technology, Patiala, Punjab, India Harish Garg Jadara Research Center, Jadara University. P.O.Box 733, Irbid 21110, Jordan; College of Engineering, Abu Dhabi University, Abu Dhabi, United Arab Emirates Mahmoud Abdel Abdel-Aty 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. 2025 2025 573 592 10.54216/IJNS.250345 https://www.americaspg.com/articleinfo/21/show/3383