By integrating neutrosophic principles, recent optimization advances give a thorough analysis of decision-making processes. The focus of the research is on project management, and more especially on the difficulties of using the Critical Path Method and the Time Cost Tradeoff in contexts where there is a high degree of uncertainty. To deal with data in various uncertain contexts was further detailed in the investigation to resolve such issues. According to recent research, using neutrosophic in project scheduling can significantly improve efficiency, effectiveness, and accuracy, especially in uncertain environments. The project might finish in the least amount of time possible if all the relevant factors, including time, money, and quality, are considered. The critical path method can significantly improve by incorporating neutrosophic ideas into project management. This study surveys the state of the art and delves into possible directions for future work with other uncertain environments.