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JAPLL
2016

Transitivity in coherence-based probability logic

4 years 3 months ago
Transitivity in coherence-based probability logic
We study probabilistically informative (weak) versions of transitivity by using suitable definitions of defaults and negated defaults in the setting of coherence and imprecise probabilities. We represent p-consistent sequences of defaults and/or negated defaults by g-coherent imprecise probability assessments on the respective sequences of conditional events. Moreover, we prove the coherent probability propagation rules for Weak Transitivity and the validity of selected inference patterns by proving p-entailment of the associated knowledge bases. Finally, we apply our results to study selected probabilistic versions of classical categorical syllogisms and construct a new version of the square of opposition in terms of defaults and negated defaults.
Angelo Gilio, Niki Pfeifer, Giuseppe Sanfilippo
Added 06 Apr 2016
Updated 06 Apr 2016
Type Journal
Year 2016
Where JAPLL
Authors Angelo Gilio, Niki Pfeifer, Giuseppe Sanfilippo
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