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

Zhiang Zhou; Fei Huang; Qamrul Hasan Ansari

doi:10.1007/s10957-025-02812-3

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

Zhiang Zhou^*, Fei Huang, Qamrul Hasan Ansari

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	61
Journal	Journal of Optimization Theory and Applications
Volume	207
Issue number	3
DOIs	https://doi.org/10.1007/s10957-025-02812-3
State	Published - Dec 2025

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.

Keywords

Approximate quasi (weakly
Multiobjective optimization problems
Pascoletti-Serafini scalarization
properly) efficient solutions

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

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10.1007/s10957-025-02812-3

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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.",

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author = "Zhiang Zhou and Fei Huang and Ansari, \{Qamrul Hasan\}",

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N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.

PY - 2025/12

Y1 - 2025/12

N2 - 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.

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KW - Multiobjective optimization problems

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KW - properly) efficient solutions

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ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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