Comparing Solutions under Uncertainty in Multiobjective Optimization

Table 1

Relations without uncertainty.

Relation name	Relation symbol	Comparison
Pareto dominance	𝑧≺𝑤	𝑧 dominates 𝑤
Weak Pareto dominance	𝑧≼𝑤	𝑧 weakly dominates 𝑤
Strict Pareto dominance	𝑧≺≺𝑤	𝑧 strictly dominates 𝑤
Incompatibility	𝑧‖𝑤	𝑧 is incomparable with 𝑤
Constrained dominance	𝑧≺𝑐𝑤	𝑧 constrained-dominates 𝑤