Introducing Grades in Deontic Logics
From Mathfuzzlog
Authors: |
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Title: | Introducing Grades in Deontic Logics | ||
Journal: | Lecture Notes in Computer Science | ||
Volume | 5076 | ||
Number | |||
Pages: | 248-262 | ||
Year: | 2008 | ||
Preprint |
Abstract
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.