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: 1. a qualitative sequence approximates a qualitative probability; 2. a qualitative probability can be approximated.
Logical Approximations of Qualitative Probability / P. Baldi, H. Hosni (PROCEEDINGS OF MACHINE LEARNING RESEARCH). - In: International Symposium on Imprecise Probability: Theories and Applications / [a cura di] A. Cano, J. De Bock, E. Miranda, S. Moral. - [s.l] : PMLR, 2021. - pp. 12-21 (( Intervento presentato al 12. convegno International Symposium on Imprecise Probability: Theories and Applications tenutosi a Granada nel 2021.
Logical Approximations of Qualitative Probability
P. Baldi
;H. Hosni
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: 1. a qualitative sequence approximates a qualitative probability; 2. a qualitative probability can be approximated.
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