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- W182515198 abstract "We contrast the concept underlying t-norm-based propositional fuzzy logics with the problem to whose solution fuzzy logics are frequently suggested as helpful - namely, to find a model of reasoning with vague information. We argue that fuzzy logics are useful as long as truth values can be identified with the meaning of the considered propositions. This, however, is rarely the case in prac- tice; hence we see the need to broaden the concept underlying this important class of logics and try fresh approaches. In particular, we should flexibilise the formalism to allow that propositions do not arise in the same context, but are just known to be related in some way. We tackle the problem tentatively. We define a set of rules which, as we assume, are minimally required to enable us to argue about vague propositions whose content is not taken into account. Our choice of rules reflects the practical requirements of a certain expert system on which we work. Although we deal here with fuzzy logic in a very direct sense, we arrive at calculi completely different from the t-norm-based ones. Without incorporating truth degrees explicitly, we are led to Belnap's logic, which can, but need not, be endowed with a semantics based on graded truth degrees. When formalising also truth degrees, we get a logic which can be based on what we call metric De-Morgan" @default.
- W182515198 created "2016-06-24" @default.
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- W182515198 date "2009-01-01" @default.
- W182515198 modified "2023-09-27" @default.
- W182515198 title "T-norm-based fuzzy logics and logics for reasoning under vagueness" @default.
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