Research Article
Comparing Solutions under Uncertainty in Multiobjective Optimization
Table 4
Comparison of newly defined relations with Pareto dominance relations on the Poloni problem (average values over 30 runs).
| Relation type | Solutions used for surrogate model | Number of comparisons | Incorrect comparisons | Number of comparisons with confidence interval reductions | Proportion of confidence interval reductions | Confidence interval width |
| Relations under uncertainty | 20 |
3,940,200 | 1,515 | 3,635,805 | 92% | 26.25 | 30 | 682 | 3,152,124 | 80% | 15.41 | 50 | 138 | 1,218,337 | 31% | 1.29 | 100 | 65 | 672,384 | 17% | 0.012 | 200 | 13 | 549,380 | 14% | 0.002 |
| Pareto dominance relations | 20 |
3,940,200 | 367,684 | / | / | 26.25 | 30 | 159,945 | / | / | 15.41 | 50 | 22,032 | / | / | 1.29 | 100 | 2,309 | / | / | 0.012 | 200 | 1,219 | / | / | 0.002 |
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