Introducing Grades in Deontic Logics

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Pilar Dellunde
Lluís Godo
Title: Introducing Grades in Deontic Logics
Journal: Lecture Notes in Computer Science
Volume 5076
Pages: 248-262
Year: 2008


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 , our language contains formulas of the form or , where , expressing that the preference or probability degree respectively of a norm is at least . We present sound and complete axiomatisations for these logics.