aspg-21-3280-1791475439 20261008160359 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 25 3 Yousef Al-Qudah Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman, Jordan Abdulqader O. Hamadameen Department of Mathematics, Faculty of Science and Health, Koya University, Danielle Mitterrand Boulevard, Koya KOY45, Kurdistan Region - F.R. Iraq Nadia Abdalla Kh Alryaiyna College of Science and Technecal, Alryaiyna west Mountain, Libya Faisal Al-Sharqi 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 Decision-making theory is an effective way to help the decision-maker take the right path to solve a problem. Among the applications of this theory is the medical field, i.e. allowing the decision maker (doctor) to analyze patient data and judge the result of this analysis as to whether the patient is infected or not. In this path and to enrich this theory with more flexible mathematical methods, we present in this work a more flexible expanded method for a previous concept called Interval-valued Q-neutrosophic soft matrix (IV-Q-NSM) as a new generalization of previous mathematical tools. These tools deal with the two-dimensional uncertainty issues that exist in many areas of life. Next, some ordinary algebraic properties and matrix operations have also been studied. After that, we present a new methodology for the decision-making (DM) selection problems in medical diagnoses. 2025 242 257 3280 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.250322 https://www.americaspg.com/journal/21/article/3280 https://www.americaspg.com/storage/21737032471.pdf