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Some equivalent problems in set optimization
Authors:Elvira Hernández  Luis Rodríguez-Marín  Miguel Sama
Affiliation:Departamento de Matemática Aplicada, Universidad Nacional de Educación a Distancia, Juan del Rosal 12, Madrid 28.040, Spain
Abstract:Given a set-valued optimization problem (P), there is more than one way of defining the solutions associated with it. Depending on the decision maker’s preference, we consider the vector criterion or the set criterion. Both criteria of solution are considered together to solve problem (P) by reducing the feasible set.
Keywords:Set optimization  Vector optimization  Set-valued optimization  Optimality conditions
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