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Keywords:
copula; quasi-copula; $1$-Lipschitz aggregation operator; diagonal
copula; quasi-copula; $1$-Lipschitz aggregation operator; diagonal
Summary:
Smallest and greatest $1$-Lipschitz aggregation operators with given diagonal section, opposite diagonal section, and with graphs passing through a single point of the unit cube, respectively, are determined. These results are used to find smallest and greatest copulas and quasi-copulas with these properties (provided they exist).
References:
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