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

作者：Sayadi bander A; Kasimbeyli R^*; Pourkarimi L

来源：Operations Research Letters, 2017, 45(1): 93-97.

DOI：10.1016/j.orl.2016.12.009

• Multiobjective optimization
• epsilon-Efficiency
• Variable ordering structures
• Scalarization

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.

• 出版日期2017-1