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<p>In this paper, we consider Pascoletti-Serafini scalarizations for multiobjective optimization problems to establish necessary and sufficient conditions for approximate quasi (weakly, properly) efficient solutions of multiobjective optimization problems. Some examples and a numerical experiment are given to explain and illustrate the results of this paper. The results of this paper generalize and improve some corresponding results in the literature.</p>

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Pascoletti-Serafini Scalarizations for Approximate Quasi Efficient Solutions for Multiobjective Optimization Problems

  • 期刊论文

  • 发表日期：

    2025年8月22日

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  • Zhiang Zhou,
  • Fei Huang,
  • Qamrul Hasan Ansari

摘要

In this paper, we consider Pascoletti-Serafini scalarizations for multiobjective optimization problems to establish necessary and sufficient conditions for approximate quasi (weakly, properly) efficient solutions of multiobjective optimization problems. Some examples and a numerical experiment are given to explain and illustrate the results of this paper. The results of this paper generalize and improve some corresponding results in the literature.