考虑白化权函数的区间灰数预测模型研究

Research onInterval Grey Number Prediction Model Considering Whitening Weight Function

针对区间灰数预测模型较少考虑灰数取值可能性对预测结果的影响,构建了白化权函数已知的区间灰数预测模型。首先,将区间灰数进行标准化,分别取其“白部”和“灰部”得到白部序列和灰部序列。然后,根据白化权函数与x轴所围图形得到面积序列以及计算白化权函数已知的区间灰数的“核”得到核序列。最后,通过充分挖掘白化权函数已知的区间灰数序列中蕴含的信息,建立灰色预测模型,并应用算例分析验证模型的有效性和实用性。

Since the existing interval grey number prediction model less considers the influence of the probability of interval grey number on the result,establishes the interval grey number prediction model with known whitening weight function.Firstly.standardizes the interval grey number.and then gets the"white part"sequence and the"grey part"sequence.Then,calculates the area of the graph enclosed by the whitening weight function and the x-axis to get the area sequence.At the same time,obtains the kernel sequence according to the kernel of the interval grey number known the whitening weight function.Finally,establishes the grey prediction model by fully mining the information contained in the interval grey number sequence known the whitening weight function.Presents a numerical example to illustrate the validity and practicability of the proposed model.