Abstract
This paper is devoted to a logical and algebraic treatment of conditional probability. Unlike the other approaches to this problem (cf [7],[10]) we base our work on the notion of zero-layer (cf [4]). Thus we define the fuzzy modal logic FP k (RŁΔ) with k modalities for non-conditional probably, built up over the many-valued logic RŁΔ (obtained by adding to the Rational Łukasiewicz logic the Baaz connective Δ). The main result of this paper tells us that it is possible to characterize the coherence of an assessment of conditional probability by the consistence of a suitable theory over FP k (RŁΔ).
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Flaminio, T. (2005). A Zero-Layer Based Fuzzy Probabilistic Logic for Conditional Probability. In: Godo, L. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2005. Lecture Notes in Computer Science(), vol 3571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11518655_60
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DOI: https://doi.org/10.1007/11518655_60
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-27326-4
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