On affine sections of 1-Lipschitz aggregation operators

نویسندگان

  • Anna Kolesárová
  • Erich-Peter Klement
چکیده

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.

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تاریخ انتشار 2005