摘要
缓冲算子是灰色预测研究中的重要内容.通过对现有缓冲算子的研究,结合对数函数的性质,提出基于对数函数的新型对数弱化缓冲算子和变权对数弱化缓冲算子;从理论上证明其为弱化缓冲算子,同时研究了关于序列调节度和改变序列光滑性方向的性质.通过实例验证,所提出的对数缓冲算子能够提高预测模型的精度.
Buffer operator is considered as an important component of study on grey forecast.Based on the study of existing buffer operators and the properties of logarithmic function,Based on the study of existing buffer operators and the properties of logarithmic function,a new logarithmic weakening buffer operator and a weighted logarithmic weakening buffer operator are proposed.we theoretically provide that the proposed method is weakening buffer operator,the property of adjustment intensity and direction of smoothing sequence are then studied.Examples show that the proposed logarithmic buffer operator can improve the accuracy of the prediction model.
作者
江建明
吴文泽
张涛
JIANG Jian-ming;WU Wen-ze;ZHANG Tao(School of Mathematics and Statistics,Baise University,Baise 533000,China;School of Economics and Business Administration,Central China Normal University,Wuhan 430079,China;School of Science,Guangxi University of Science and Technology,Liuzhou 545006,China)
出处
《数学的实践与认识》
北大核心
2020年第10期56-63,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11561006,11861014)
广西自然科学基金(2018JJA110013)
中央高校基本科研业务费资助(优博培育项目)(2019YBZZ062)。
关键词
灰色预测
缓冲算子
调节度
光滑性
gray forecasting
buffer operator
adjustment intensity
smoothness
