Equivalent ε-efficiency notions in vector optimization

• C. Gutiérrez ^[1] ; B. Jiménez ^[2] ; V. Novo ^[2]
  1. [1] Universidad de Valladolid

     Universidad de Valladolid

     Valladolid, España

     
  2. [2] Universidad Nacional de Educación a Distancia

     Universidad Nacional de Educación a Distancia

     Madrid, España

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 20, Nº. 2, 2012, págs. 437-455
• Idioma: inglés
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• Resumen

  • In this work we show some relations between ε-efficiency sets obtained through well-known approximate solution concepts of vector optimization problems. In particular, we prove that various of these concepts are equivalent, in the sense that they give the same ε-efficiency sets by choosing suitable parameters. The obtained results are illustrated in the Pareto context.