期刊
IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION
卷 20, 期 5, 页码 807-813出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TEVC.2015.2505784
关键词
Degenerate Pareto front; Deb-Thiele-Laumanns-Zitzler (DTLZ) test problems; evolutionary many-objective optimization; walking fish group (WFG) test problems
资金
- Grants-in-Aid for Scientific Research [26540128] Funding Source: KAKEN
In general, an M-objective continuous optimization problem has an (M - 1)-dimensional Pareto front in the objective space. If its dimension is smaller than (M - 1), it is called a degenerate Pareto front. Deb-Thiele-Laumanns-Zitzler (DTLZ)5 and Walking Fish Group (WFG)3 have often been used as many-objective continuous test problems with degenerate Pareto fronts. However, it was noted that DTLZ5 has a nondegenerate part of the Pareto front. Constraints have been proposed to remove the nondegenerate part. In this letter, first we show that WFG3 also has a nondegenerate part. Then, we derive constraints to remove the nondegenerate part. Finally, we show that the existence of the nondegenerate part makes WFG3 an interesting test problem through computational experiments.
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