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Construction of aggregation operators for automated decision making via optimal interpolation and global optimization

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  • This paper examines methods of pointwise construction of aggregation operators via optimal interpolation. It is shown that several types of application-specific requirements lead to interpolatory type constraints on the aggregation function. These constraints are translated into global optimization problems, which are the focus of this paper. We present several methods of reduction of the number of variables, and formulate suitable numerical algorithms based on Lipschitz optimization.
    Mathematics Subject Classification: Primary: 65K05, 41A29, 03E72, 65D05; Secondary: 41A63,90C26.

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