On the relationships between some games associated with SUOWA and Semi-SUOWA operators

Producción CientíficaThe construction of functions that simultaneously generalize weighted means and OWA operators is an interesting topic that has received special attention in recent years. Due to the properties they satisfy, one of the most interesting generalization are SUOWA operators, which have been widely studied in the literature. In a recent paper, a new generalization has been introduced, the Semi-SUOWA operators, which have a close relationship with SUOWA operators. The main aim of this paper is to analyze the games associated with Semi-SUOWA operators. In this respect, we give conditions under which we can guarantee the monotonicity of these games. Moreover, we establish some relationships between some games associated with SUOWA and Semi-SUOWA operators and show the pointwise convergence of certain games.Este trabajo forma parte del proyecto de investigación: MEC-FEDER Grant ECO2016- 77900-

Closed-form expressions for some indices of SUOWA operators

Producción CientíficaAggregation operators are an important tool in various scientific fields to determine the overall evaluation of an alternative from individual values. So, it seems relevant to know as many features as possible of the operators used in the aggregation processes. For this purpose, several indices have appeared in the literature, among which worth mentioning are the orness degree, the Shapley value, and the veto and favor indices. However, closed-form expressions of these indices are only known for few operators. The aim of this paper is to provide closed-form expressions of the previously said indices for some specific cases of SUOWA operators (which are a special case of Choquet integral), and to show the usefulness of these operators in a classical example given by Grabisch (1995).Ministry of Economy and Competitiveness and ERDF (Project ECO2016-77900-P