Transitive reasoning with imprecise probabilities

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In S. Destercke & T. Denoeux (eds.), Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2015). Springer LNAI 9161. pp. 95-105 (2015)
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Abstract

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. Finally, we present the coherent probability propagation rules for Weak Transitivity and the validity of selected inference patterns by proving p-entailment of the associated knowledge bases.

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Author Profiles

Giuseppe Sanfilippo
University of Palermo
Niki Pfeifer
Universität Regensburg

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Square of opposition under coherence.Niki Pfeifer & Giuseppe Sanfilippo - 2017 - In M. B. Ferraro, P. Giordani, B. Vantaggi, M. Gagolewski, P. Grzegorzewski, O. Hryniewicz & María Ángeles Gil (eds.), Soft Methods for Data Science. pp. 407-414.

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References found in this work

Experiments on Aristotle’s Thesis.Niki Pfeifer - 2012 - The Monist 95 (2):223-240.
The conditional in mental probability logic.Niki Pfeifer & G. D. Kleiter - 2010 - In Mike Oaksford & Nick Chater (eds.), Cognition and Conditionals: Probability and Logic in Human Thought. Oxford University Press. pp. 153--173.

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