New family of triangular norms via contrapositive symmetrization of residuated implications (Q1971938)
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scientific article; zbMATH DE number 1423462
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New family of triangular norms via contrapositive symmetrization of residuated implications |
scientific article; zbMATH DE number 1423462 |
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New family of triangular norms via contrapositive symmetrization of residuated implications (English)
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2000
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The paper deals with triangular norms connected with strong negation. Their properties are investigated and presented. The main results regard the description of the nilpotent minimum of triangular norms, which is described as a limit of nilpotent triangular norms where the nilpotent minimum is an extremal case. The problems solved in the paper are strongly related to the contrapositive symmetry of residuated implications.
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semigroup
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associativity
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triangular norms
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strong negation
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nilpotent minimum
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contrapositive symmetry
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residuated implications
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