aspg-21-2534-1791472391 20261008151311 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 23 3 M. Palanikumar Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India G. Manikandan Department of CDC, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, 603203,Tamilnadu, India T. T. Raman Department of Mathematics, St. Joseph’s Institute of Technology, OMR, Chennai-600119, India K. Arulmozhi Department of Mathematics, Bharath Institute of Higher Education and Research, Chennai-600073, India Aiyared Iampan Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand In this study, the theory of the Type-II q-rung neutrosophic interval valued soft set (Type-II q-rung NIVS) is introduced. We also define a few operations based on the Type-II q-rung NIVS set. Type-II q-rung NIVS sets are formed by extending neutrosophic interval valued soft (NIVS) sets and q-rung fuzzy soft sets. Type-II q-rung NIVS sets and their similarity measures. An illustrative example illustrates how they can be used to successfully address uncertainty-related problems. 2024 318 328 2534 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.230326 https://www.americaspg.com/journal/21/article/2534 https://www.americaspg.com/storage/91709314669.pdf