The development of the times calls for the need to further strengthen the construction of the education legal system and promote the deep development of the education legal system. In order to realize the effective evaluation of the quality of education legal system, the article designs an evaluation model (PSO-BPNN model) for the quality of education legal system based on heuristic algorithm. The model uses the PSO algorithm with sinusoidally adjusted inertia weights to optimize the initial values of the weights and thresholds of the BPNN to improve the convergence efficiency of the model. Subsequently, the assessment was completed in conjunction with the established educational legal system. In order to verify the performance of the model, the model is compared, and the relative error between the predicted value and the real value of PSO-BPNN on the quality of the educational legal system is between 1.36 and 22.34, with a difference of 20.98, and the fit between the network output of the model and the target value is high, and the trend of the predicted value and the real value is in agreement, and the model predicts with a high degree of accuracy. The intelligent decision-making path can be carried out at three levels: the collection of information, the identification of decision-critical issues and the proposal of decision-making solutions.
