正态分布区间灰数灰色预测模型

近期灰数预测主要关注无分布信息和均匀分布区间灰数预测. 基于灰朦胧集演化思想, 研究在不确定信息广泛存在的正态分布背景下, 正态分布区间灰数序列的灰色预测问题. 首先, 通过正态分布随机函数实现区间灰数序列与实数序列族的信息等效转换; 然后, 对正态分布区间灰数随机白化序列进行GM(1,1) 建模, 利用最大值最小值及正态分布“3?? 法则”建立区间灰数预测模型; 最后, 通过实例对比分析验证了所提出模型的可行性和有效性, 为区间灰数预测问题提供新的思路和方法.

Gray prediction model of normal distribution interval grey number

Grey prediction mainly concerns uniform distribution interval grey number prediction recently. A grey prediction model of normal distribution interval grey number sequence is developed, based on grey hazy set evolutionary thinking and normal distribution which is the main existence way of uncertain information. Firstly, the information equivalence conversion between interval grey number and real numbers sequence family is achieved by using the normal distribution random function. Then, the GM(1,1) model of random sequences on the normal distribution interval grey number is given, the interval grey number prediction model is established by using maximum minimum values and the normal distribution “three sigma rule”. Through the example comparative analysis, the results show that the model is feasible and effective, providing new ideas and models for the interval grey number prediction.