TitleLayers for zero-probability and stable coherence over Lukasiewicz events
Publication TypeJournal Article
Year of Publication2017
AuthorsFlaminio T, Godo L
JournalSoft Computing - A Fusion of Foundations, Methodologies and Applications

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 Lukasiewicz logic events.