6533b7d5fe1ef96bd1263e74
RESEARCH PRODUCT
Conjunction of Conditional Events and t-Norms
Giuseppe SanfilippoAngelo Giliosubject
Frank t-norm.Settore MAT/06 - Probabilita' E Statistica MatematicaConjunction02 engineering and technologyCoherence (statistics)01 natural sciencesConjunction (grammar)Mathematics::Logic010104 statistics & probabilitySettore SECS-S/06 -Metodi Mat. dell'Economia e d. Scienze Attuariali e Finanz.Product (mathematics)0202 electrical engineering electronic engineering information engineeringCalculus020201 artificial intelligence & image processing0101 mathematicsCoherenceConditional EventCounterexampleMathematicsdescription
We study the relationship between a notion of conjunction among conditional events, introduced in recent papers, and the notion of Frank t-norm. By examining different cases, in the setting of coherence, we show each time that the conjunction coincides with a suitable Frank t-norm. In particular, the conjunction may coincide with the Product t-norm, the Minimum t-norm, and Lukasiewicz t-norm. We show by a counterexample, that the prevision assessments obtained by Lukasiewicz t-norm may be not coherent. Then, we give some conditions of coherence when using Lukasiewicz t-norm
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-01-01 |