International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3457 2020 2020 Department of Mathematics, Faculty of Science, Jadara University, Irbid, Jordan admin admin Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman, Jordan Yousef Al Al-Qudah 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 Faisal Al Al-Sharqi College of Pharmacy, National University of Science and Technology, Dhi Qar, Iraq Anwar Bataihah Decision-making theory serves as an effective framework to guide decision-makers in solving problems. One notable application of this theory is in the medical field, where it aids doctors in analyzing patient data to determine whether a patient is infected. To enhance this theory with more adaptable mathematical methods, we propose an expanded approach based on previously introduced matrixes of Q-neutrosophic soft under an Interval-valued setting (IV-Q-NSM). This represents a new finding of existing mathematical tools to address the two-dimensional uncertainty prevalent in various life domains. This work explores several algebraic properties and matrix operations associated with IV-Q-NSM. Subsequently, we introduce a new methodology for decision-making (DM) in medical diagnosis selection problems. This approach aims to provide a more flexible and comprehensive framework for evaluating complex medical data and improving diagnostic accuracy. 2025 2025 156 168 10.54216/IJNS.250413 https://www.americaspg.com/articleinfo/21/show/3457