Extension to copulas and quasi-copulas as special 1-Lipschitz aggregation operators
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).
copula quasi-copula 1-lipschitz aggregation operator diagonal