The research will analyze and understand the current situation of the financial accounting management system in colleges and universities and the main challenges it faces, and conduct in-depth research on the fuzzy reasoning model, take the actual university financial management problem as an example, design and implement the decision support module based on fuzzy reasoning, test and evaluate its performance. The function and effect of the system are verified, and the optimization and improvement strategies are proposed. This research will provide theoretical and practical support for the development and application of financial accounting management system in colleges and universities, and promote the modernization and intelligence of financial management in colleges and universities.