Fuzzy Logics Interpreted as Logics of Resources

Girard’s linear logic (1987) is often interpreted as the logic of resources, while formal fuzzy logics (see esp. Hájek, 1998) are usually understood as logics of partial truth. I will argue that deductive fuzzy logics can be interpreted in terms of resources as well, and that under most circumstances they actually capture resource-aware reasoning more accurately than linear logic. The resource-based interpretation then provides an alternative motivation for formal fuzzy logics, and gives an explanation of the meaning of their intermediary truth values that can be justified more easily than their traditional motivation based on partial truth.