MW

MW [31] is a constrained multi-objective test suite constructed in a similar fashion to CTP or WFG with 3 different distance functions and 3 local adjustment methods. Most problems are biobjective problems, except MW4, MW8 and MW14 which are scalable (\(m \geq 3\)).

They aim at replacing the CTP test suite by proposing more complex problems with up to 4 inequality constraints.

MW1

from pymoo.factory import get_problem
from pymoo.util.plotting import plot

problem = get_problem("mw1")
plot(problem.pareto_front(), no_fill=True)

MW2

from pymoo.factory import get_problem
from pymoo.util.plotting import plot

problem = get_problem("mw2")
plot(problem.pareto_front(), no_fill=True)

MW3

from pymoo.factory import get_problem
from pymoo.util.plotting import plot

problem = get_problem("mw3")
plot(problem.pareto_front(), no_fill=True)

MW4

from pymoo.factory import get_problem, get_reference_directions, get_visualization

ref_dirs = get_reference_directions("das-dennis", 3, n_partitions=12)
pf = get_problem("mw4").pareto_front(ref_dirs)
get_visualization("scatter", angle=(45,45)).add(pf).show()

MW5

from pymoo.factory import get_problem
from pymoo.util.plotting import plot

problem = get_problem("mw5")
plot(problem.pareto_front(), no_fill=True)

MW6

from pymoo.factory import get_problem
from pymoo.util.plotting import plot

problem = get_problem("mw6")
plot(problem.pareto_front(), no_fill=True)

MW7

from pymoo.factory import get_problem
from pymoo.util.plotting import plot

problem = get_problem("mw7")
plot(problem.pareto_front(), no_fill=True)

MW8

from pymoo.factory import get_problem, get_reference_directions, get_visualization

ref_dirs = get_reference_directions("das-dennis", 3, n_partitions=15)

pf = get_problem("mw8").pareto_front(ref_dirs)
get_visualization("scatter", angle=(45,45)).add(pf).show()

MW9

from pymoo.factory import get_problem
from pymoo.util.plotting import plot

problem = get_problem("mw9")
plot(problem.pareto_front(), no_fill=True)

MW10

from pymoo.factory import get_problem
from pymoo.util.plotting import plot

problem = get_problem("mw10")
plot(problem.pareto_front(), no_fill=True)

MW11

from pymoo.factory import get_problem
from pymoo.util.plotting import plot

problem = get_problem("mw11")
plot(problem.pareto_front(), no_fill=True)

MW12

from pymoo.factory import get_problem
from pymoo.util.plotting import plot

problem = get_problem("mw12")
plot(problem.pareto_front(), no_fill=True)

MW13

from pymoo.factory import get_problem
from pymoo.util.plotting import plot

problem = get_problem("mw13")
plot(problem.pareto_front(), no_fill=True)

MW14

from pymoo.factory import get_problem, get_visualization

pf = get_problem("mw14").pareto_front()
get_visualization("scatter", angle=(45,45)).add(pf).show()

Python implementation by cyrilpic based on the original C++ code.