On fuzzy modal logics \(S5(\mathcal C)\) (Q622028)
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scientific article; zbMATH DE number 5843023
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On fuzzy modal logics \(S5(\mathcal C)\) |
scientific article; zbMATH DE number 5843023 |
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On fuzzy modal logics \(S5(\mathcal C)\) (English)
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31 January 2011
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The fuzzy version S5\((\mathcal C)\) of the modal logic S5 is studied. \(\mathcal C\) is a recursively axiomatized fuzzy propositional logic extending the basic fuzzy logic BL. Three kinds of Kripke models are introduced and corresponding deductive systems are found. The reader is assumed to know the basic facts of classical modal logics and their Kripke semantics, including the logic S5, as well as t-norm-based fuzzy logics.
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fuzzy logic
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modal logic
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S5
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completeness
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Kripke model
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