Triangular norms and conjunction of conditional events
- Autori: Gilio, A.; Sanfilippo G
- Anno di pubblicazione: 2019
- Tipologia: Abstract in atti di convegno pubblicato in volume
- OA Link: http://hdl.handle.net/10447/390554
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.