Detecting the edges of objects within images is a critical task for quality image processing. This paper proposes an edge detection operator based on the combination of fuzzy gradient morphology and Sobel operator. When we use traditional detection operators to detect the edge of an object in an image, we get lots of noisy Points. In this paper, we demonstrate a technique in which we preprocess an image with Sobel operator and then apply gradient morphology. This method effectively removes the noise and gives good detail image edge detection. We evaluate the method quantitatively and compare it to classical morphological method. Our fuzzy based edge segmentation method performs better than the classical edge detectors. Since the proposed methods are based on fuzzy morphological operations, these are efficient omega replica and enhanced