Table 6. Analysis of dimensional complexity in MOO.
Function assignments are based on common usage patterns, not strict dimensional constraints.
| Dimension | Problem characteristics | Representative benchmark functions |
|---|---|---|
| Low (2–3) | Simple geometric structure of the Pareto front (convex, concave, or disconnected); easy to visualize and analyze | ZDT Series (Zitzler, Deb & Thiele, 2000), Kursawe Function (Deb et al., 2002a) |
| Medium (4–10) | Emergence of the curse of dimensionality; sparse distribution of solutions; reduced search efficiency | DTLZ Series (Deb et al., 2002b), WFG Toolkit (Huband et al., 2006) |
| High (>10) | Severe objective redundancy; loss of dominance pressure; need for dimensionality reduction or adaptive reference-based strategies | MaF Series (Zhang, Liu & Yao, 2023), MAOP, LSMOP (Kalita et al., 2024) |