A survey of methods to evaluate quantified sentences.

Miguel Delgado; Daniel Sánchez; José María Serrano; M. Amparo Vila

Mathware and Soft Computing (2000)

  • Volume: 7, Issue: 2-3, page 149-158
  • ISSN: 1134-5632

Abstract

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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.

How to cite

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Delgado, Miguel, et al. "A survey of methods to evaluate quantified sentences.." Mathware and Soft Computing 7.2-3 (2000): 149-158. <http://eudml.org/doc/39194>.

@article{Delgado2000,
abstract = {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.},
author = {Delgado, Miguel, Sánchez, Daniel, Serrano, José María, Vila, M. Amparo},
journal = {Mathware and Soft Computing},
keywords = {Cuantificación; Conjuntos difusos; Bases de datos; Sistemas expertos; linguistic quantifiers; quantified sentences; fuzzy integrals},
language = {eng},
number = {2-3},
pages = {149-158},
title = {A survey of methods to evaluate quantified sentences.},
url = {http://eudml.org/doc/39194},
volume = {7},
year = {2000},
}

TY - JOUR
AU - Delgado, Miguel
AU - Sánchez, Daniel
AU - Serrano, José María
AU - Vila, M. Amparo
TI - A survey of methods to evaluate quantified sentences.
JO - Mathware and Soft Computing
PY - 2000
VL - 7
IS - 2-3
SP - 149
EP - 158
AB - 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.
LA - eng
KW - Cuantificación; Conjuntos difusos; Bases de datos; Sistemas expertos; linguistic quantifiers; quantified sentences; fuzzy integrals
UR - http://eudml.org/doc/39194
ER -

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