ON THE STRUCTURE OF KERNEL AGGREGATION OPERATORS

Juliana Mordelová

   In the paper the structure of kernel aggregation operators is studied. A necessary and sufficient condition for a binary aggregation operator to be a kernel aggregation operator is proved. Moreover, determination of binary kernel aggregation operators by their marginal values is investigated. For given marginal functions the strongest and weakest kernel aggregation operators are constructed. Several examples are given.

Keywords: aggregation operators, stability, 1-Lipschitz functions

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