Non-standard probability, coherence and conditional probability on many-valued events

被引：10

作者：

Montagna, Franco ^{[1
]}

Fedel, Martina ^{[1
]}

Scianna, Giuseppe ^{[1
]}

机构：

[1] Dept Math & Comp Sci R Magari, I-53100 Siena, Italy

来源：

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2013年 / 54卷 / 05期

关键词：

States; Hyperstates; Coherence; Conditional probability; MV-algebras; Non-standard analysis; LUKASIEWICZ; PRODUCT;

D O I：

10.1016/j.ijar.2013.02.003

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The usual coherence criterion by de Finetti is extended both to many-valued events and to conditional probability. Special attention is paid to assessments in which the betting odds for conditioning events are zero. This case is treated by means of infinitesimal probabilities. We propose a rationality criterion, called stable coherence, which is stronger than coherence in the sense of no sure loss. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：573 / 589

页数：17

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