摘要
针对传统Verhulst模型以实数序列为建模对象,而对区间灰数的预测还比较缺乏的问题,利用直接建模思想,得到一利新信息Verhulst直接模型形式;在核与灰半径的基础上,构建相应的区间灰数预测模型;通过核与灰半径,推导出所建预测模型区间灰数上下界的时间响应式.应用实例表明:区间灰数预测模型具有很好的有效性和实用性,拓宽了灰色预测模型的使用范围.
In order to solve the problem that the tradition grey Verhulst model is based on the real numbers, and the discussions of interval grey numbers are limited, by using the method of the direct modeling, this paper proposed a new information Verhulst direct model, and then deduced and established the prediction model of interval grey numbers by using the concept of kernel and grey radius; At last, the time response formulas of lower limit point and upper limit point of interval grey numbers were obtained. The application example shows that the amendatory model is better in accuracy and practicality, which extended the application of grey prediction model.
出处
《辽宁工程技术大学学报（自然科学版）》
CAS
北大核心
2014年第2期280-283,共4页
Journal of Liaoning Technical University (Natural Science)
基金
河南省自然科学基金资助项目(0511013800)
河南省教育厅自然科学基金资助项目(12A110001)
