TY - GEN
T1 - Conjunction of Conditional Events and t-Norms
AU - Sanfilippo, Giuseppe
AU - Gilio, Angelo
PY - 2019
Y1 - 2019
N2 - We study the relationship between a notion of conjunction among conditional events, introducedin 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
AB - We study the relationship between a notion of conjunction among conditional events, introducedin 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
UR - http://hdl.handle.net/10447/369496
M3 - Conference contribution
SN - 978-3-030-29764-0; 978-3-030-29765-7
T3 - LECTURE NOTES IN ARTIFICIAL INTELLIGENCE
SP - 199
EP - 211
BT - Symbolic and Quantitative Approaches to Reasoning with Uncertainty
15th European Conference, ECSQARU 2019 Belgrade, Serbia, September 18–20, 2019 Proceedings
ER -