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<p>In this paper, we first investigate a few important properties of several set-order relations via the Gerstewitz function. Secondly, employing several set-order relations, we examine a unified approach to characterize robust strictly minimal solutions for uncertain vector optimization problems with variable domination structures. Finally, by utilizing scalarization methods, we establish the necessary and sufficient conditions for the robust strictly minimal solution of uncertain vector optimization problems with variable domination structures under more generalized assumptions.</p>

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Optimality Conditions in Uncertain Vector Optimization Problems with Variable Domination Structures via Gerstewitz Function

  • 期刊论文

  • 发表日期：

    2025年7月22日

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  • Zhenzhen Qin,
  • Qilin Wang,
  • Jie Wang,
  • Ching-Feng Wen

摘要

In this paper, we first investigate a few important properties of several set-order relations via the Gerstewitz function. Secondly, employing several set-order relations, we examine a unified approach to characterize robust strictly minimal solutions for uncertain vector optimization problems with variable domination structures. Finally, by utilizing scalarization methods, we establish the necessary and sufficient conditions for the robust strictly minimal solution of uncertain vector optimization problems with variable domination structures under more generalized assumptions.