International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1392 2020 2020 Department of Mathematics, Saveetha School of Engineering, Saveetha University, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India M. Palanikumar Laboratory of Information Processing, Faculty of Science Ben MSik, University of Hassan II, Casablanca, Morocco;Regional Center for the Professions of Education and Training (C.R.M.E.F), Casablanca-Settat, Morocco Said Broumi Square root Diophantine neutrosophic interval-valued set (SRDioNIVS) approaches to multiple attribute decisionmaking (MADM) problems. The square root neutrosophic sets, interval-valued Diophantine neutrosophic sets are both extensions of square root Diophantine neutrosophic sets. In this section, we discuss aggregating operations and how those interprtautions have evolved over time. The paper is focused on a novel idea known as square root neutrosophic interval-valued weighted averaging (SRDioNIVWA), square root neutrosophic interval-valued weighted geometric (SRDioNIVWG), generalized square root neutrosophic interval-valued weighted averaging (GSRDioNIVWA), and generalized square root neutrosophic interval-valued weighted geometric (GSRDioNIVWG). We also begin an algorithm using these operators. The use of the euclidean and hamming distances is described, and examples from real-world problems are inserted. As a result, the defined models are more accurate and closely tied to Ξ. In order to show the reliability and usefulness of the models under examination, we also compare a few of the proposed and current models. The study’s results are also fascinating and intriguing. 2022 2022 08 28 10.54216/IJNS.190401 https://www.americaspg.com/articleinfo/21/show/1392