Revistes Catalanes amb Accés Obert (RACO)

A survey of methods to evaluate quantified sentences

Miguel Delgado Calvo-Flores, Daniel Sánchez Fernández, José María Serrano Chica, María Amparo Vila Miranda


The evaluation of quantified sentences is used to solve several problems. Most of the
methods proposed in the literature are not satisfactory because they do not verify some
intuitive properties. In this paper we propose an extension of both possibilistic and
probabilistic methods, based on the Sugeno and the Choquet fuzzy integrals respectively,
for the evaluation of type II sentences, the most general kind of sentences. These
methods verify good properties, and they are shown to be better than existing ones. Some
of the properties of the methods allow us to design an efficient algorithm with linear
complexity to perform the evaluation under reasonable assumptions.

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