Stable Models of Fuzzy Propositional Formulas

Abstract. We introduce the stable model semantics for fuzzy propositional for-mulas, which generalizes both fuzzy propositional logic and the stable model se-mantics of Boolean propositional formulas. Combining the advantages of both for-malisms, the introduced language allows highly configurable default reasoning in-volving fuzzy truth values. We show that several properties of Boolean stable mod-els are naturally extended to this formalism, and discuss how it is related to other approaches to combining fuzzy logic and the stable model semantics.