Similarity monadic basic logic (Q1999121)

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scientific article; zbMATH DE number 7324946
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Similarity monadic basic logic
scientific article; zbMATH DE number 7324946

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    Similarity monadic basic logic (English)
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    18 March 2021
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    The paper studies the extension of Hajek's basic logic with first-order monadic operators. The framework is further extended with a fuzzy similarity relation, in order to obtain structures called similarity monadic BL-algebras. The main results are the following. In Theorem 3.1, we find some characterizations of representable similarity monadic BL-algebras. In Section 4, we have a logic sound and complete for similarity monadic BL-algebras.
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    non-classical logic
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    BL-algebra
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    similarities
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    monadic logic
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    similarity monadic BL-algebra (logic)
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    monadic filter
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    completeness
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