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.
|Titolo:||Triangular norms and conjunction of conditional events|
|Data di pubblicazione:||2019|
|Citazione:||Gilio, A., & Sanfilippo, G. (2019). Triangular norms and conjunction of conditional events. In E-BOOK OF ABSTRACT: 43rd Annual Meeting of the Italian Association for Mathematics Applied to Economic and Social Sciences (AMASES) (pp. 296-296).|
|Appare nelle tipologie:||2.08 Abstract in atti di convegno pubblicato in volume|