aspg-21-2459-1791475391 20261008160311 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 23 3 Ligin P. Mathew Department of Mathematics, St Thomas College, Palai,Kerala, India Lovelymol Sebastian Department of Mathematics, St Thomas College, Palai,Kerala, India Baiju Thankachan Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal-576104, Karnataka,India Almost all situations that arise in applied mathematics involve uncertainty, inconsistency, and indeterminacy. This can be simultaneously handled by the use of single valued neutrosophic fuzzy sets and single valued neutrosophic fuzzy numbers. In this paper, we propose the operations of addition, subtraction, and scalar multiplication on trapezoidal single valued neutrosophic fuzzy numbers. We introduce some component-wise interval operations on the union of closed bounded intervals. Then we show how this can be used to perform the proposed operations on trapezoidal single valued neutrosophic fuzzy numbers with the help of finite α− cuts, finite β− cuts, finite γ− cuts, and finite δ− cuts, which we define in this paper itself. 2024 29 43 2459 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.230303 https://www.americaspg.com/journal/21/article/2459 https://www.americaspg.com/storage/51706631593.pdf