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On a new class of fuzzy implications: \(h\)-implications and generalizations - MaRDI portal

On a new class of fuzzy implications: \(h\)-implications and generalizations (Q545332)

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scientific article; zbMATH DE number 5911293
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English
On a new class of fuzzy implications: \(h\)-implications and generalizations
scientific article; zbMATH DE number 5911293

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    On a new class of fuzzy implications: \(h\)-implications and generalizations (English)
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    22 June 2011
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    The authors introduce \(h\)-implications using t-norms and t-conorms, which are generated from an additive generator of a representable uninorm. The basic properties of this new class of fuzzy implications are studied in detail. The proposed fuzzy implications can provide a more flexible and reliable logic method in approximate reasoning and fuzzy control.
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    implication function
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    \(h\)-implication
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    \((h,e)\)-implication
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    generalized \(h\)-implication
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    law of importation
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