Random sets are common spatial statistical concepts that allow quantifying uncertainty in spatial objects. For objects extracted from remote sensing images, quantification of the uncertainty is important, as many objects are relatively small with respect to the pixel size and are sometimes poorly defined. Remote Sensing (RS) data are important in land cover identification, classification and estimation. The aim of this paper is to address problems associated with the presence of edges between objects. Such edges occur on images in different shapes, for example as borders