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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