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.
A General Interpretation of Conditioning and its Implication on Coherence / A., Capotorti; Vantaggi, Barbara. - In: SOFT COMPUTING. - ISSN 1432-7643. - STAMPA. - 3:3(1999), pp. 148-153. [10.1007/s005000050063]
A General Interpretation of Conditioning and its Implication on Coherence
VANTAGGI, Barbara
1999
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
