On affine sections of 1-Lipschitz aggregation operators.
Anna Kolesárová, Erich Peter Klement · European Society for Fuzzy Logic and Technology Conference · 2005
We discuss 1-Lipschitz aggregation operators with a given affine section. The greatest 1-Lipschitz aggregation operator as well as the greatest quasicopula with a given affine section are explicitly given. In the case of a horizontal section it is shown to be a singular copula. A similar result for the smallest (quasi-)copula with a given horizontal section is also included.