Pareto reflections#
What are Pareto reflections? On a top level, Pareto reflections are functions which reflect certain properties of Pareto points.
Why do we use Pareto reflections? We use Pareto reflections in order to inject certain properties of found Pareto points into any MOO algorithm.
How do we use Pareto reflections in Paref?
This is done by calling the apply_to_sequence method of some MOO algorithm (implemented in ParefMOO interface)
to the Pareto reflection.
Currently, Paref includes implementations of the following Pareto reflections (illustrated by their corresponding property):
Property |
Graphic |
Pareto reflection |
Supported target space dimension |
Note |
Code |
|---|---|---|---|---|---|
Being an edge point |
|
|
All |
||
Filling a gap |
|
|
All |
||
Having minimum (weighted) distance to some utopia point |
|
|
All |
||
Being constrained to a defined area |
|
|
All |
