The archimedean property for t-norms in interval-valued fuzzy set theory (Q853451)
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scientific article; zbMATH DE number 5073322
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The archimedean property for t-norms in interval-valued fuzzy set theory |
scientific article; zbMATH DE number 5073322 |
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The archimedean property for t-norms in interval-valued fuzzy set theory (English)
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15 November 2006
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The author transfers the well-known archimedean property for t-norms from fuzzy set theory to interval-valued fuzzy set (IVFS) theory. The archimedean property is relevant amongst others because it allows characterization of continuous t-norms on [0,1]. In the extension to IVFSs, three variants are considered: archimedean, strong archimedean and weakly archimedean.
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interval-valued fuzzy sets
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t-norm
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archimedean property
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