Different families of functions have been proposed in the literature with the purpose of simultaneously generalizing weighted means and ordered weighted averaging (OWA) operators [see, for instance, weighted OWA and semiuninorm-based OWA (SUOWA) operators]. Recently, Jin et al. have introduced in the literature a new procedure called the Crescent Method to melt additive capacities with those of OWA operators. The main aim of this article is to establish a relationship between the Crescent Method and SUOWA operators. From this relationship, we give closed-form expressions for some well-known indices, such as the Shapley values, the veto and favor indices, and the k-conjunctiveness and k-disjunctiveness indices.