Fuzzy propositional logics |
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Authors: | Siegfried Gottwald |
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Affiliation: | Sektion Mathematik, Karl-Marx-Universität, 701 Leipzig, G.D.R. |
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Abstract: | Fuzzy logic ∞9 considered in connection with fuzzy sets theory, is a special theory, is a special many valued logic with truth-value sets [0, 1], which has been studied already by Lukasiewicz. We consider also his versions m for m ? 2 with finite truth-value sets. In all cases we add two further propositional connectives, one conjunction and one disjunction. For these logics we give a list of tautologies, consider relations between their sets of tautologies, prove their compactness, and mention some further results. |
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Keywords: | Fuzzy logic Connectives Fuzzy syntax Fuzzy semantics Compactness |
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