A coradiant based scalarization to characterize approximate solutions of vector optimization problems with variable ordering structures

Sayadi-bander A., Kasimbeyli R., Pourkarimi L.

OPERATIONS RESEARCH LETTERS, vol.45, no.1, pp.93-97, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.1016/j.orl.2016.12.009
  • Journal Name: OPERATIONS RESEARCH LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.93-97
  • Keywords: Multiobjective optimization, epsilon-Efficiency, Variable ordering structures, Scalarization, PROPERLY OPTIMAL ELEMENTS, SEPARATION
  • Anadolu University Affiliated: Yes

Abstract

This paper investigates some properties of approximate efficiency in variable ordering structures where the variable ordering structure is given by a special set valued map. We characterize epsilon-minimal and epsilon- nondominated elements as approximate solutions of a multiobjective optimization problem with a variable ordering structure and give necessary and sufficient conditions for these solutions, via scalarization. (C) 2016 Elsevier B.V. All rights reserved.