Using the Combination of GM(1,1) and Taylor Approximation Method to Predict the Academic Achievement of Student

Abstract

The purpose of this study is to predict the academic achievement of student based on the combination of GM(1,1) and Taylor approximation method(abbreviated as T-GM(1,1)). The prediction model combined the first-order two variables grey differential equation model from grey system theory and Taylor approximation method from approximation optimization theory. This combined model can obtain the most optimal predicted value by multi-times approximate calculation. In addition, the researchers used MATLAB software to build a MATLAB toolbox for the prediction model based on GM(1,1) and T-GM(1,1). The experimental results showed that T-GM(1,1) can be adjusted repeatedly until reaches the optimal values and makes the predicted error reduce to the minimum. The comparison of the obtained results with the original GM(1,1) showed that T-GM(1,1) is a good alternative for parameters optimization of this prediction model.