Edge is the basic feature of the image, and is easily damaged in the image processing. This paper proposed an edge-preserving method for image filtering. The scheme can improve the capability of protecting the edge information. The proposed method firstly defined two information measures that were based on fuzzy entropy and image gradient. Then the two information measures were fused by triangle-module operator to determine the image edges. At last, we used the modified filter to eliminate noise and retain the determined edge points. The experiment results, compared with AMAWM, can achieve better effects on PSNR and AG (Average Gradient), which illustrates that more edge information may be preserved after the filtering operation.