Image quality assessment is an important issue addressed in various image processing applications such as image/video compression and image reconstruction. The Peak Signal-to-Noise Ratio (PSNR) with the L-2-metric is commonly used in objective image quality assessment. However, the measure does not agree very well with the human visual perception in many cases. In this paper, a fuzzy image metric (FIM) is defined based on Sugeno's fuzzy integral. This new objective image metric, which is to some extent a proper evaluation from the viewpoint of the judgement procedure, is closely approximates the subjective Mean Opinion Score (MOS) with a correlation coefficient of about 0.94, as compared to 0.82 obtained using PSNR.