Comparing Solutions under Uncertainty in Multiobjective Optimization

Table 3

Relations under uncertainty with constraints.

Relation name	Relation symbol	Comparison
Probable constrained dominance	BB(𝑧,𝜀)≺𝑢𝑐BB(𝑤,𝛿)	BB(𝑧,𝜀) probably constrained-dominates BB(𝑤,𝛿)
Probable constrained nondominance	BB(𝑧,𝜀)⊁𝑢𝑐BB(𝑤,𝛿)	BB(𝑧,𝜀) is probably constrained-non-dominated by BB(𝑤,𝛿)
Probable constrained incomparability	BB(𝑧,𝜀)‖𝑢𝑐BB(𝑤,𝛿)	BB(𝑧,𝜀) is probably constrained-incomparable with BB(𝑤,𝛿)
Undetermined constrained relation	BB(𝑧,𝜀)∼𝑢𝑐BB(𝑤,𝛿)	BB(𝑧,𝜀) is in an undetermined constrained relation with BB(𝑤,𝛿)