Some properties of overlap and grouping functions and their application to image thresholding

In this paper we study under which conditions overlap and grouping functions satisfy some commonly demanded properties such as migrativity or homogeneity. We also recall that the convex combination of overlap (grouping) functions is a new overlap (grouping) function. This property allows us to achieve a consensus between different methods that solve certain problems by means of these functions. We also show one application of this property in image processing.