aspg-21-2360-1791475514 20261008160514 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 23 2 Ashraf Al-Quran Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa 31982, Saudi Arabia Faisal Al-Sharqi Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq; College of Pharmacy, National University of Science and Technology, Dhi Qar, Iraq Hamiden Abd El- Wahed Khalifa Department of Mathematics, College of Science and Arts, Qassim University, Al- Badaya 51951, Saudi Arabia; Department of Operations and Management Research, Faculty of Graduate Studies for St Aziza Algarni Department of Mathematics, Jamoum University College, Umm Al-Qura University, Makkah, Saudi Arabia Ali M. A. Bany Awad Deanship of Development and Quality Assurance, King Faisal University, Al-Ahsa 31982, Saudi Arabia Heba Ghareb Gomaa Department of Mathematics and Statistics, Institute for Management Information Systems, Suiz, Egypt This paper aims to introduce and explore the innovative concept of T-spherical fuzzy valued neutrosophic sets (T-SFVNSs) in the context of multi-attribute decision making (MADM). The T-SFVNSs are utilized to develop two key aggregation operators: the T-spherical fuzzy valued neutrosophic weighted average operator (T-SFVNWAO) and the T-spherical fuzzy valued neutrosophic weighted geometric operator (T-SFVNWGO). These operators are defined based on the operational rules of T-SFVNNs. The properties of these operators, including idempotency, boundedness, and monotonicity, are rigorously examined and established. To demonstrate the practicality and relevance of the T-SFVN operators, an algorithm and a numerical application are presented. The algorithm illustrates the step-by-step implementation of these operators, while the numerical application showcases their effectiveness in real-world scenarios. Additionally, a comparative analysis is conducted to evaluate the accuracy and performance of the proposed operators in relation to existing ones. 2024 116 128 2360 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.230210 https://www.americaspg.com/journal/21/article/2360 https://www.americaspg.com/storage/31709912561.pdf