Gray-scale morphological operators are commonly employed in image processing applications, such as texture analysis, target detection and image enhancement. One major problem with these operators is their sensitivity to noise. Another issue is finding the right structuring elements for a process. This paper describes Choquet integral-based morphological operators. These operators do not necessarily use max and min and therefore they are less sensitive to noise. In this paper, we also introduce a technique to find an optimal gray scale structuring element. These developments yield applications, including but not limited to target detection and multi-layer filtering.