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

Zhiang Zhou (), Fei Huang () and Qamrul Hasan Ansari ()
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Zhiang Zhou: Chongqing University of Technology
Fei Huang: Chongqing University of Technology
Qamrul Hasan Ansari: King Fahd University of Petroleum and Minerals

Journal of Optimization Theory and Applications, 2025, vol. 207, issue 3, No 21, 46 pages

Abstract: Abstract 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.

Keywords: Multiobjective optimization problems; Pascoletti-Serafini scalarization; Approximate quasi (weakly; properly) efficient solutions; 90C26; 90C29; 90C30; 49M37 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02812-3

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