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利用平移变换方法对灰色预测模型进行改进,对平移变换存在性进行了证明,并给出最优平移步长的求解方法和利用平移变换建立灰色模型的一般步骤;应用优化后的灰色模型对收入与物价关系进行预测分析,与线性回归模型作了相应比较,从结果可看出,对于收入物价系统,优化后的灰色模型计算简单,模型更加精确可靠,用于对未来收入与物价关系的预测,能提供更有效的数据依据,具有很好的实际应用意义.
The gray prediction model is improved by using the translation transformation method, the existence of the translation transformation is proved, and the method of solving the optimal translation step and the general steps of establishing the gray model by using the translation transformation are given. The gray model is applied to optimize the gray model, Which is compared with the linear regression model. From the results, it can be seen that for the system of the income price, the optimized gray model is simple and the model is more accurate and reliable, which is used to forecast the relationship between future income and price , Can provide more effective data basis, has very good practical significance.