Logical Approximations of Qualitative Probability

Paolo Baldi; Hykel Hosni

Logical Approximations of Qualitative Probability

Paolo Baldi, Hykel Hosni

Proceedings of the Twelveth International Symposium on Imprecise Probability: Theories and Applications, PMLR 147:12-21, 2021.

Abstract

We provide approximations of qualitative probability, that is, comparative structures which are representable by probability measures. We introduce sequences of qualitative belief structures, based on the ideas of Depth-Bounded logics D’Agostino et al. (2013b), and identify the conditions under which:

a qualitative sequence approximates a qualitative probability;
a qualitative probability can be approximated.

Cite this Paper

BibTeX


@InProceedings{pmlr-v147-baldi21a,
  title = 	 {Logical Approximations of Qualitative Probability},
  author =       {Baldi, Paolo and Hosni, Hykel},
  booktitle = 	 {Proceedings of the Twelveth International Symposium on Imprecise Probability: Theories and Applications},
  pages = 	 {12--21},
  year = 	 {2021},
  editor = 	 {Cano, Andrés and De Bock, Jasper and Miranda, Enrique and Moral, Serafı́n},
  volume = 	 {147},
  series = 	 {Proceedings of Machine Learning Research},
  month = 	 {06--09 Jul},
  publisher =    {PMLR},
  pdf = 	 {http://proceedings.mlr.press/v147/baldi21a/baldi21a.pdf},
  url = 	 {https://proceedings.mlr.press/v147/baldi21a.html},
  abstract = 	 {We provide approximations of qualitative probability, that is, comparative structures which are representable by probability measures. We introduce sequences of qualitative belief structures, based on the ideas of Depth-Bounded logics D’Agostino et al. (2013b), and identify the conditions under which:  a qualitative sequence approximates a qualitative probability;
 a qualitative probability can be approximated.
  }
}

Endnote

%0 Conference Paper
%T Logical Approximations of Qualitative Probability
%A Paolo Baldi
%A Hykel Hosni
%B Proceedings of the Twelveth International Symposium on Imprecise Probability: Theories and Applications
%C Proceedings of Machine Learning Research
%D 2021
%E Andrés Cano
%E Jasper De Bock
%E Enrique Miranda
%E Serafı́n Moral	
%F pmlr-v147-baldi21a
%I PMLR
%P 12--21
%U https://proceedings.mlr.press/v147/baldi21a.html
%V 147
%X We provide approximations of qualitative probability, that is, comparative structures which are representable by probability measures. We introduce sequences of qualitative belief structures, based on the ideas of Depth-Bounded logics D’Agostino et al. (2013b), and identify the conditions under which:  a qualitative sequence approximates a qualitative probability;
 a qualitative probability can be approximated.

APA


Baldi, P. & Hosni, H.. (2021). Logical Approximations of Qualitative Probability. Proceedings of the Twelveth International Symposium on Imprecise Probability: Theories and Applications, in Proceedings of Machine Learning Research 147:12-21 Available from https://proceedings.mlr.press/v147/baldi21a.html.

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