基于模糊回归理论的GM(1,1)模型优化

Optimization of grey model GM(1,1) based on fuzzy regression theory

文章将传统的GM(1,1)模型与模糊回归模型相结合,得到了基于模糊回归理论的GM(1,1)优化模型,保留了传统GM(1,1)模型的所需建模数据少和具有预测功能的优点;利用定义的三角模糊数的左、中、右距离公式,得到了基于模糊回归理论的GM(1,1)优化模型的求解方法。

The optimization of the grey model GM（1,1） is made by combining the conventional grey model GM（1,1） with the fuzzy regression model, and the advantage of limited modeling data and the forecasting capability of the grey model GM（1,1） are kept. The solving method for the optimized grey model GM（1,1） based on the fuzzy regression theory is obtained by defining the left distance formula, the middle distance formula and the right distance formula of triangular fuzzy numbers.