Triangular norms. Position paper II: General constructions and parameterized families (Q1885736)
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scientific article; zbMATH DE number 2115166
| Language | Label | Description | Also known as |
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| English | Triangular norms. Position paper II: General constructions and parameterized families |
scientific article; zbMATH DE number 2115166 |
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Triangular norms. Position paper II: General constructions and parameterized families (English)
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12 November 2004
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This is the second paper in a series of three position papers devoted to triangular norms, i.e., associative, commutative binary operations in the unit interval which are non-decreasing and have 0 as a null element and 1 as a unit. In this paper the authors review basic results on various constructions of t-norms either by means of generators or by means of ordinal sums. The paper gives constructions of non-continuous t-norms and many concrete examples. For Part I see ibid. 143, 5--26 (2004; Zbl 1038.03027); Part III is reviewed below (Zbl 1059.03013).
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triangular norms
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construction methods
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families of t-norms
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additive generators
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ordinal sums
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