Purpose

The purpose of this paper is to construct a prediction model of three-parameter interval grey number based on kernel and double information domains to expand the modeling object of grey prediction model from interval grey number to three-parameter interval grey number.

Design/methodology/approach

First, the study decomposes the grey valued interval into upper and lower cells with the “center of gravity” as the dividing point and defines the upper and lower information domains of the three-parameter interval grey number. Second, it calculates the kernel, the upper and lower information domains of the three-parameter interval grey number. Then, it constructs the prediction model for kernel sequence and upper and lower information domain sequences, respectively. By deducing the time response expressions of “center of gravity”, lower and upper limits of three-parameter interval grey number, a prediction model of three-parameter interval grey number based on kernel and double information domains is obtained.

Findings

This paper provides a prediction model of three-parameter interval grey number based on kernel and double information domains, and the example analysis shows that the method proposed in this paper has higher prediction accuracy and practicality.

Practical implications

In this paper, the modeling object of grey prediction model is extended to the three-parameter interval grey number, so it can be used for the prediction of uncertainty problems, such as stock changing trend, temperature and so on.

Originality/value

By decomposing the grey valued interval into upper and lower cells with the “center of gravity” as the dividing point, gives the definition of upper and lower information domains and then obtains a new method for whitening the three-parameter interval grey number.

中文翻译：

---

基于核和双信息域的三参数区间灰度预测模型

目的

本文的目的是基于核和双信息域构造三参数区间灰度数预测模型，以将灰色预测模型的建模对象从区间灰度数扩展为三参数区间灰度数。

设计/方法/方法

首先，研究以“重心”为划分点，将灰度值区间分解为上下单元格，并定义了三参数区间灰度数的上下信息域。其次，它计算内核，三参数间隔灰度数的上下信息域。然后，分别构建内核序列和上，下信息域序列的预测模型。通过推导“重心”的时间响应表达式，三参数区间灰度数的上下限，得到了基于核和双信息域的三参数区间灰度数的预测模型。

发现

本文提供了一种基于核和双信息域的三参数区间灰度预测模型，实例分析表明，本文提出的方法具有较高的预测精度和实用性。

实际影响

本文将灰色预测模型的建模对象扩展到三参数区间灰度值，可用于预测不确定性问题，如库存变化趋势，温度等。

创意/价值

通过以“重心”为划分点将灰度值区间分解为上下单元，给出了上下信息域的定义，从而获得了一种白化三参数区间灰度值的新方法。