On the Relationship Between the Crescent Method and SUOWA Operators

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.