BODANZA Gustavo Adrian
congresos y reuniones científicas
Agregación de relaciones de ataque entre argumentos
TOHMÉ, FERNANDO ABEL; BODANZA, GUSTAVO ADRIÁN
La Falda, Córdoba
Workshop; Encuentro de Temas de Lógica; 2006
An argumentation framework is a system formed by a set of arguments and a relation of attack among them. This paper deals with the possibility of aggregating different relations of attack among the same arguments. While each attack relation represents an individual agents criterion, the aggregation is a function obtaining a collective criterion. Arrow defined an extensively studied set of constraints that any aggregation function over individual preferences must verify for qualifying as rational. We will show that once Arrows constraints become incorporated in the framework the algebraic structure of a proper prefilter over the class of winning coalitions of agents arises. As it has been discussed in Social Choice Theory, a prefilter indicates the existence of a collegium of attack relations, meaning that each member by itself cannot determine the outcome of the aggregation process, but can instead veto the alternatives that run contrary to its prescription.