Conjunction of Conditional Events and t-Norms

被引:6
|
作者
Gilio, Angelo [1 ]
Sanfilippo, Giuseppe [2 ]
机构
[1] Univ Roma La Sapienza, Dept SBAI, Rome, Italy
[2] Univ Palermo, Dept Math & Comp Sci, Palermo, Italy
关键词
Coherence; Conditional event; Conjunction; Frank t-norm; PROBABILITY; COHERENCE; DISJUNCTION; INFERENCE; LOGIC;
D O I
10.1007/978-3-030-29765-7_17
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
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.
引用
收藏
页码:199 / 211
页数:13
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