| Título | Introducing Grades in Deontic Logics |
| Publication Type | Conference Paper |
| Year of Publication | 2008 |
| Authors | Dellunde P, Godo L |
| Editor | van der Meyden R, eds.) Lvan der To |
| Conference Name | Ninth International Conference on Deontic Logic in Computer Science (DEON'08) |
| Volume | 5076 |
| Edition | Ron van der Meyden and Leon van der Torre |
| Editorial | Springer-Verlag |
| Conference Location | Luxembourg |
| Paginación | 248-262 |
| Date Published | 15/07/2008 |
| 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. |
