Robust Scalarization of a Class of Uncertain Multi-Objective Optimization Problems

HE Yu; XIA Yuanmei; GUO Hui

doi:10.21656/1000-0887.450194

Volume 46 Issue 4

Apr. 2025

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HE Yu, XIA Yuanmei, GUO Hui. Robust Scalarization of a Class of Uncertain Multi-Objective Optimization Problems[J]. Applied Mathematics and Mechanics, 2025, 46(4): 542-550. doi: 10.21656/1000-0887.450194

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Robust Scalarization of a Class of Uncertain Multi-Objective Optimization Problems

doi: 10.21656/1000-0887.450194

HE Yu¹,
XIA Yuanmei^{1
,
,},
GUO Hui²

1. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, P.R.China;
2. School of Sciences, Henan University of Technology, Zhengzhou 450001, P.R.China

Funds:

The National Science Foundation of China(12171063；11991024；12101096)

Received Date: 2024-07-02
Rev Recd Date: 2024-10-22

Available Online: 2025-04-30

Abstract

Abstract

Scalarization methods play an important role in solving uncertain multi-objective optimization problems. Firstly, based on the idea of robust optimization, a robust Pascoletti-Serafini scalarization for uncertain multi-objective optimization problems was proposed, and the scalarization properties of robust weakly efficient solutions and robust efficient solutions were established. Furthermore, a robust flexible Pascoletti-Serafini scalarization method for uncertain multi-objective optimization problems was proposed, and the scalarization properties of robust weakly efficient solutions, robust efficient solutions, and robust properly efficient solutions were established. Moreover, some examples were provided to illustrate the main results.
- uncertain multi-objective optimization,
- robust scalarization,
- Pascoletti-Serafini scalarization

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References(21)

References

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