aspg-21-1433-1791472382 20261008151302 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 20 1 Maissam Jdid Faculty of Informatics Engineering, Al-Sham Private University, Damascus, Syria Hla Hasan Faculty of Mechanical & Electrical Engineering, Damascus University, Damascus, Syria In light of the current circumstances and the momentary fluctuations that we live in all domains of life, which have transformed most decision-making cases into risky cases, this study was necessary. In this research, we present a new study for decision-making in the event of risk, by formulating some rules according to the neutrosophic logic starting from the data of the problem, where we replaced the classical values in the matrix of profit and probabilities with neutrosophic values that have a margin of freedom thanks to the indeterminacy provided by the neutrosophic logic, and we got more accurate solutions than the solutions that we obtained when using the classical rules which reduces the occurrence of losses, especially if the decisions are fateful and the decision issues are huge and complex and helps us to achieve the greatest profits by adopting a rational decision based on modern quantitative ways and methods. 2023 77 85 1433 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.200107 https://www.americaspg.com/journal/21/article/1433 https://www.americaspg.com/storage/11672765550.pdf