TítuloIntroducing Grades in Deontic Logics
Publication TypeConference Paper
Year of Publication2008
AuthorsDellunde P, Godo L
Editorvan der Meyden R, eds.) Lvan der To
Conference NameNinth International Conference on Deontic Logic in Computer Science (DEON'08)
Volume5076
EditionRon van der Meyden and Leon van der Torre
EditorialSpringer-Verlag
Conference LocationLuxembourg
Paginación248-262
Date Published15/07/2008
Resumen

In this paper we define a framework to introduce gradedness in Deontic logics through the use of fuzzy modalities. By way of example, we instantiate the framework to Standard Deontic logic (SDL) formulas. Given a deontic formula $Φ\in SDL$, our language contains formulas of the form $\overline{r} \to NΦ$ or $\overline{r} \to PΦ$, where $r \in [0, 1]$, expressing that the preference or probability degree respectively of a norm Φ is at least $r$. We present sound and complete axiomatisations for these logics.