aspg-21-1989-1791472400 20261008151320 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 21 4 Riyam K. Manfe Ministry of Education, General Directorate of Education in Anbar Governorate, Anbar, Iraq Deli developed the idea of interval-valued neutrosophic soft set (IVNSS) as an extension of soft set (SS) theory. The interval-valued neutrosophic soft set (IVNSS) plays a critical role in handling indeterminacy and inconsistent information during the decision-making process. Similar to other models, this newly proposed model has to fulfil some algebraic operations. The aim of this paper is to present further algebraic operations for the IVNSSs. Some algebraic operations on IVNSSs are introduced. Specifically, algebraic operations of addition, multiplication, scalar multiplication, and power for the IVNSSs are presented. As well, many examples are also presented, along with supporting proofs.In addition, we explained the mechanism of using these algebraic operations in solving decision-making problems. 2023 165 171 1989 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.210417 https://www.americaspg.com/journal/21/article/1989 https://www.americaspg.com/storage/41691601658.pdf