Under the framework of grey buffer operator and grey adjustment coefficients,the grey operation is constructed,and the weighted detrended moving average with adjustable weighted coefficients and its multifractal form called as multifractal weighted detrended moving average are put forward.The original detrended moving average is a special of the modified fractal method.Numerical simulation on fractal Gauss noise and binomial multifractal withuctuation and linear trend shows that the centered detrended weig...