Montagna, Franco A notion of coherence for books on conditional events in many-valued logic. (English) Zbl 1252.03042 J. Log. Comput. 21, No. 5, 829-850 (2011). Summary: We introduce a new approach to conditional probability over many-valued events, which is based on bets. Then we show that this approach fits with Kroupa’s approach, and we give two characterizations of coherence for books on conditional many-valued events, the first one based on states, and the second one based on logical coherence of a suitable theory on many-valued logic. Cited in 8 Documents MSC: 03B48 Probability and inductive logic 03B50 Many-valued logic Keywords:states; conditional probability; SPMV\(^{+}\)-algebras; logical coherence PDFBibTeX XMLCite \textit{F. Montagna}, J. Log. Comput. 21, No. 5, 829--850 (2011; Zbl 1252.03042) Full Text: DOI Link