摘要
根据标准S形曲线的数据特征和平移变换的数学性质,提出倒数一阶差分级比方差的函数变换准则.针对灰色Verhulst模型对初始值选取的依赖性,以新信息x(1)(n)作为初始条件,构建了基于倒数一阶差分级比方差缩小的平移变换灰色Verhulst模型.实例的计算结果验证了模型的有效性.
According to the data characteristics of the standard sigmoid curve and the mathemat- ical properties of the translation transformation,the function transformation criterion with stepwise ratio variance of the reciprocal first-order differential series is put forwarded. As to the dependence of grey Verhulst model on initial value selection,taking the new information x（1） （n） as the initial condition,the translation transformation grey Verhulst model is built up based on reducing stepwise ratio variance for the reciprocal first-order differential series. The results of the practical example verify the validity of the model.
出处
《内蒙古大学学报（自然科学版）》
CAS
北大核心
2018年第1期58-62,共5页
Journal of Inner Mongolia University：Natural Science Edition
基金
内蒙古自治区高等学校科学研究项目(NJZZ1408)
内蒙古农业大学基础学科科研启动基金项目(JC2015001)资助
关键词
级比方差
平移变换
一阶差分
灰色VERHULST模型
stepwise ratio variance
translation transformation
first-order difference
grey Ver hulst model
