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Interpolation in fuzzy logic. (English) Zbl 0936.03026
Summary: We investigate interpolation properties of many-valued propositional logics related to continuous t-norms. In case of failure of interpolation, we characterize the minimal interpolating extensions of the languages. For finite-valued logics, we count the number of interpolating extensions by Fibonacci sequences.

MSC:
03B52 Fuzzy logic; logic of vagueness
03B50 Many-valued logic
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