Abstract
In this paper we introduce a relation between Boolean events that can be interpreted as a conditioning relation. The goal is to find “elementary” events (atoms) derived from a finite family of conditional events and for this purpose we adopt MV-algebra operations. Two different decompositions (whose elements are called dicotomic and tricotomic conditional atoms, respectively) are proposed and their interpretations are given. Finally, we examine them as a tool for checking the coherence of a partial conditional probability assessment.
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Capotorti, A., Vantaggi, B. A general interpretation of conditioning and its implication on coherence. Soft Computing 3, 148–153 (1999). https://doi.org/10.1007/s005000050063
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DOI: https://doi.org/10.1007/s005000050063