On some properties of mixing OWA operators with t-norms and t-conorms

The OWA operators are traditionally used in the context of decision making as the means to aggre- gate the satisfaction of single criteria into a overall preference index. They belong to the class of av- erages, entailing compensatory properties. Di®er- ently, t-norms and t-conorms entail the reinforce- ment property, since there is a kind of interac- tion between the degree of criteria satisfaction. A deeper analysis of the OWA structure shows as- sumptions that can be highlighted at the linguis- tic level. This o®ers the opportunity of extend- ing the definition of ordinary OWA operators in new forms. In this paper we present some of these extensions and we discuss their properties in the context of decision making.