Layers of zero probability and stable coherence over Łukasiewicz events

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• 作者：Tommaso Flaminio ; Lluís Godo
• 关键词：Layers of zero probability ; Conditional probability ; Stable coherence ; MV ; algebras
• 刊名：Soft Computing
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：21
• 期：1
• 页码：113-123
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Computational Intelligence; Artificial Intelligence (incl. Robotics); Mathematical Logic and Foundations; Control, Robotics, Mechatronics;
• 出版者：Springer Berlin Heidelberg
• ISSN：1433-7479
• 卷排序：21

文摘

The notion of stable coherence has been recently introduced to characterize coherent assignments to conditional many-valued events by means of hyperreal-valued states. In a nutshell, an assignment, or book, \(\beta \) on a finite set of conditional events is stably coherent if there exists a coherent variant \(\beta '\) of \(\beta \) such that \(\beta '\) maps all antecedents of conditional events to a strictly positive hyperreal number, and such that \(\beta \) and \(\beta '\) differ by an infinitesimal. In this paper, we provide a characterization of stable coherence in terms of layers of zero probability for books on Łukasiewicz logic events.