Proper efficiency, scalarization and transformation in multi-objective optimization: unified approaches

Moslem Zamani, Majid Soleimani-damaneh

Research output: Contribution to journalArticleScientificpeer-review

Abstract

In this paper, we investigate the relationships between proper efficiency and the solutions of a general scalarization problem in multi-objective optimization. We provide some conditions under which the solutions of the dealt with scalar program are properly efficient and vice versa. We also show that, under some conditions, if the considered general scalar problem is unbounded, then the original multi-objective problem does not have any properly efficient solution. In another part of the work, we investigate a general transformation of the objective functions which preserves proper efficiency. We show that several important results existing in the literature are direct consequences of the results of the present paper.
Original languageEnglish
Pages (from-to)753-774
JournalOptimization
Volume71
Issue number3
DOIs
Publication statusPublished - Mar 2022

Keywords

  • multi-objective optimization
  • proper efficiency
  • scalarization
  • transformation

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