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.

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

Troiano L.
2005-01-01

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4748708
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