CAJ | 학술논문

在 GM(1,1) 直接建模法以差商作为灰导数白化值的基础上，提出了一种逐步优化灰导数白化值的方法.结果表明，这一方法不仅保持了原方法的升 (降) 凹 (凸) 一致性、线性变换一致性，而且具有渐近白指数律重合性和线性收敛速度.弥补了原方法不具有白指数律重合性的缺陷，突破了当发展系数的绝对值较大时 GM(1,1) 不能应用的禁区，提高了建模精度.
재 GM(1,1) 직접건모법이차상작위회도수백화치적기출상，제출료일충축보우화회도수백화치적방법.결과표명，저일방법불부보지료원방법적승 (강) 요 (철) 일치성、선성변환일치성，이차구유점근백지수률중합성화선성수렴속도.미보료원방법불구유백지수률중합성적결함，돌파료당발전계수적절대치교대시 GM(1,1) 불능응용적금구，제고료건모정도.
Based on the quotient of difference being the grey derivative's whitening values in the GM(1,1) direct modeling method, direct modeling method of GM(1,1) with a step by step optimum grey derivative's whiting values is put forward. The new method has monotone consistency, convex consistency, linear transformation consistency, gradually approaching white exponential law coincidence property and linear convergence rate. A defect that the old method has not the white exponential law coincidence property is remedied. The restricted zone of using GM(1,1) is broken while the absolute value of the development coefficient is a bigger number and improve the GM(1,1) model's precision.