Comparing Solutions under Uncertainty in Multiobjective Optimization

Table 2

Relations under uncertainty without constraints.

Relation name	Relation symbol	Comparison
Probable Pareto dominance	BB(𝑧,𝜀)≺𝑢BB(𝑤,𝛿)	BB(𝑧,𝜀) probably dominates BB(𝑤,𝛿)
Probable Pareto nondominance	BB(𝑧,𝜀)≻𝑢̸BB(𝑤,𝛿)	BB(𝑧,𝜀) is probably nondominated by BB(𝑤,𝛿)
Probable incomparability	BB(𝑧,𝜀)‖𝑢BB(𝑤,𝛿)	BB(𝑧,𝜀) is probably incomparable with BB(𝑤,𝛿)
Undetermined relation	BB(𝑧,𝜀)∼𝑢BB(𝑤,𝛿)	BB(𝑧,𝜀) is in an undetermined relation with BB(𝑤,𝛿)