Volume 42 Issue 6
Jun.  2021
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ZHAO Chunjie, GAO Ying, LIU Fuping. Equivalent Characterization of McRow Optimal Solutions to Multiobjective Optimization Problems[J]. Applied Mathematics and Mechanics, 2021, 42(6): 602-610. doi: 10.21656/1000-0887.410338
Citation: ZHAO Chunjie, GAO Ying, LIU Fuping. Equivalent Characterization of McRow Optimal Solutions to Multiobjective Optimization Problems[J]. Applied Mathematics and Mechanics, 2021, 42(6): 602-610. doi: 10.21656/1000-0887.410338

Equivalent Characterization of McRow Optimal Solutions to Multiobjective Optimization Problems

doi: 10.21656/1000-0887.410338
Funds:

11991024)

The National Natural Science Foundation of China(11771064

  • Received Date: 2020-11-05
  • Rev Recd Date: 2021-01-13
  • Based on the McRow model for multiobjective optimization problems, the relationships between the W-robust efficient solution (also known as the McRow optimal solution) and the weakly efficient solution, the efficient solution and the properly efficient solution were established. Firstly, the relationship between the W-robust efficient solution and various exact solutions to multiobjective optimization problems was studied. Then, the concept of the McRow optimal solution to stochastic multiobjective optimization problems was introduced, and the relationship between the McRow optimal solution and other solutions was given. The examples show that, the solutions obtained with the McRow model are of better robustness.
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