|
This paper describes an approach to the application of grey predication model in land planning. As a case, a predication of agricultural total output value in Wuan city(Hebei province) is introduced. At first, the dominant industry is confirmed by grey correlation analysis, then a grey predication model (GM(1,1)) is constituted. In the end, agricultural total output value is predicated and analyzed. 农业经济系统是一个灰色系统。本文以河北省武安市农业总产值的预测为例 ,首先通过灰色关联分析确定其优势产业 ,然后 ,通过时间序列建立灰色预测模型 (GM(1,1)模型 ) ,并对农业总产值进行预测与分析 ,为土地利用与规划提供科学的依据 This paper discusses some problems of the grey predication model of GM(1,1) exsiting,and points out that in the solution differential equation dX~(1)dt+aX~(1)=b,it is unreasonable that ~((1))(1)=X~(1)(1) is looked as the known condition to deduce the predication formula in order to calculate the differential equation′s solution.Instead,according to truth,the known condition should not be limited to the {X~(1)(k)},and the last average and opposite mistake(=1n∑nk=1 εk) is directly considered,being... This paper discusses some problems of the grey predication model of GM(1,1) exsiting,and points out that in the solution differential equation dX~(1)dt+aX~(1)=b,it is unreasonable that ~((1))(1)=X~(1)(1) is looked as the known condition to deduce the predication formula in order to calculate the differential equation′s solution.Instead,according to truth,the known condition should not be limited to the {X~(1)(k)},and the last average and opposite mistake(=1n∑nk=1 εk) is directly considered,being regarded as the c_m′s function.At last,the value of c_m is calculated to make the value of be the minimum.Based on it,the c_m′s formula is conducted,and the new grey prediction formula is formed to improve predication accuracy.Finally,the illustration is used to verify accuracy and feasibility of the predication formula. 讨论了灰色预测GM(1,1)模型理论上存在的一些问题,认为在解微分方程dXdt(1)+aX(1)=b进行预测公式推导时,把-X1(1)=X11作为已知条件来确定微分方程的解是不合理的,而应根据实际情况,不局限于{X(1)(k)}序列,直接从最后的平均相对误差ε-=n1∑k=n1ε(k)入手,将-ε看作是常数cm的函数,求出满足Min{-ε(cm)}的cm值即可,并在此基础上推导出cm的计算公式,形成新的灰色预测公式,从而进一步提高预测精度,最后经过实例验证新的预测公式的正确性及可行性. By using examples and methods in mathematical statistics,the authors expatiated on the application of methods for analyzing grey system models in the area of sports training control,and revealed the following findings: In the area of sports training,the analysis of the grey association model can be used for the selection of athletes and calculation of the weight of various training indexes;the grey coordination model can be used for the analysis of advantages and disadvantages in competitive strength as well... By using examples and methods in mathematical statistics,the authors expatiated on the application of methods for analyzing grey system models in the area of sports training control,and revealed the following findings: In the area of sports training,the analysis of the grey association model can be used for the selection of athletes and calculation of the weight of various training indexes;the grey coordination model can be used for the analysis of advantages and disadvantages in competitive strength as well as the control of various training indexes;the grey predication model can be used to predict future game performances.In conclusion,the methods used for analyzing various grey system models in the area of sports training are able to provide a reference more scientifically for the implementation of the process of sports training control. 采用数理统计方法及例证等,介绍了在运动训练控制领域中灰色系统模型分析方法的运用。在运动训练领域中,灰色关联模型分析可以用于运动员的选材和各训练指标的权重值计算;灰色协调模型可以用于竞技实力的强、弱项分析以及各训练指标值的调控;灰色预测模型可以预测未来的比赛成绩。运用于运动训练领域中的多种灰色系统模型分析方法,能够较为科学地为运动训练控制过程的实施提供参考。
|