白化权函数已知的区间灰数预测模型

Prediction model for interval grey number with known whitenization weight function

针对传统灰色预测模型无法进行灰数序列预测的缺陷,在白化权函数已知的情况下,通过计算中间层、起(止)点过渡层的面积以及中间层中位线中点的坐标,将区间灰数序列中所蕴含的信息完整地转换成实数序列;然后构建了一种新的区间灰数预测模型.应用分析验证了新模型的有效性及实用性.

Traditional grey prediction models can not be applied to forecast grey number sequence.Therefore,in the case of known whitenization weight function,by calculating the areas of middle layers and transitional layers of start/end point,and middle layers median lines＇ coordinates,an interval grey number sequence is converted into a real number sequence without missing any information of the grey number.Then a novel grey prediction model for forecasting interval grey number is proposed.An application analysis is presented to illustrate the effectiveness and practicability of the proposed model.