A note on a nilpotent lower bound of nilpotent triangular norms (Q1304211)
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scientific article; zbMATH DE number 1339574
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on a nilpotent lower bound of nilpotent triangular norms |
scientific article; zbMATH DE number 1339574 |
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A note on a nilpotent lower bound of nilpotent triangular norms (English)
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16 November 1999
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The authors prove that there exists a nilpotent upper (! see corrigendum) bound for a finite set of nilpotent t-norms. Essential tools for the proof are additive generators of t-norms and the theory of superadditive functions. An illustrative example is presented. The results can be applied to t-norm-based addition of fuzzy numbers, to fuzzy equivalence relations and to fuzzy partitions.
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nilpotent upper bound
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nilpotent t-norms
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superadditive functions
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t-norm-based addition of fuzzy numbers
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fuzzy equivalence relations
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fuzzy partitions
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