Generic properties to scalarize ordered sets
In 1986, Wierzbicki introduced a new approach to deal with scalarization processes of vector optimization problems that focuses on the so-called order preserving and order representing properties instead of considering specific scalarization mappings. In this talk, Wierzbicki’s approach is extended to optimization problems whose image space is an arbitrary ordered set. The obtained results are applied to derive optimality conditions via scalarization in set-valued optimization problems with set order relations.
Palabras clave / Keywords: scalarization order preserving mapping order representing mapping set-valued optimization minimal solution nondominated solution
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