论文信息 - 1-Lipschitz Aggregation Operators, Quasi-Copulas and Copulas with Given Opposite Diagonal

1-Lipschitz Aggregation Operators, Quasi-Copulas and Copulas with Given Opposite Diagonal

Copulas with given diagonal have been studied in [4, 10]. In [2, 5, 11] smallest and greatest (quasi-)copulas with given diagonal are constructed. Both (two-dimensional) copulas and quasi-copulas are special cases of binary 1-Lipschitz aggregation operators [3, 8], and in [7] 1-Lipschitz aggregation operators with given diagonal (and the consequences for (quasi-)copulas) are investigated. We give constructions for smallest and greatest 1-Lipschitz aggregation operators with given opposite diagonal, allowing us to obtain most results for (quasi-)copulas with given opposite diagonal as special cases.

Anna Kolesárová | Erich-Peter Klement

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