基于函数cotx变换的灰色建模方法  

An Approach of the Grey Modelling Based on cotx Transformation

作　　者：李翠凤[1] 戴文战[1] 

机构地区：[1]浙江工商大学信息与电子工程学院,浙江杭州310033

出　　处：《系统工程》2005年第3期110-114,共5页Systems Engineering

基　　金：浙江省自然科学基金资助项目(602016)

摘　　要：在对原始序列经过标准化处理的基础上提出经函数cotx变换来提高离散数据序列光滑度的方法,并从理论上证明了离散数据序列经过这种变换后可以大大提高光滑度且比"对数函数"法及"幂函数"法更加有效。文末把其用在客运量的预测中,此应用实例表明了本文提出方法的有效性。In this paper, based on trigonometric function transformation, a new method of enhancing smooth degree of the standardized discrete data sequence is put forward. It is proved that the smooth degree of the standardized discrete data (sequence) can be greatly improved by using this transformation, Compared with logarithmic function method and power function method,the function method can greatly improve the smooth degree. At last, the method is used to build a model of passenger capacity in china. The practical results show the effectiveness of the proposed approach.

关 键 词：灰色模型 光滑度 离散数据序列 函数变换 

分 类 号：O21[理学—概率论与数理统计]