基于核与灰半径的连续区间灰数预测模型  

Prediction Model of Continuous Interval Grey Number Based on the Kernel and Gray Radius

作　　者：刘解放[1,2] 刘思峰[1] 方志耕[1] 

机构地区：[1]南京航空航天大学经济与管理学院,江苏南京210016 [2]河南科技学院数学科学学院,河南新乡453003

出　　处：《系统工程》2013年第2期61-64,共4页Systems Engineering

基　　金：国家自然科学基金重大研究计划培育项目(90924022);国家社会科学基金资助重点项目(08AJY024)

摘　　要：在灰色预测模型中,大部分是以实数序列为建模对象,而对于以区间灰数为预测对象的探讨还比较缺乏。在灰数"核"与"灰度"的基础上,提出"灰半径"的概念,在"核"与"灰半径"的基础上,求得连续区间灰数的上界和下界,在不破坏灰数整体性的前提下,实现了对于连续区间灰数的预测。通过实例分析和与其他模型的对比,验证了该模型的有效性和实用性,对于丰富区间灰数的预测理论具有积极的探索的作用。In the prediction model of grey systems, most of the models are based on the real numbers, and the discussions of interval grey numbers are limited. This paper constructs grey radius based on the concept of kernel and grey degree, and then gets the upper and lower bounds of the continuous interval grey numbers. Thus, we constructs prediction model of continuous interval grey numbers without destroying the integrity of them. At last, we prove the practical applicability and the validity of the model by example analysis and comparison with other model. This paper has a positive role in exploring the theory of interval grey numbers.

关 键 词：预测模型 连续区间灰数 核 灰半径 

分 类 号：N941[自然科学总论—系统科学]