Assign elements of fitnesses
to nondominated fronts.
The first nondominated front is the set of individuals that is not dominated by any other individual with respect to any fitness dimension, i.e. where no other individual exists that has all fitness values greater or equal, with at least one fitness value strictly greater.
The n'th nondominated front is the set of individuals that is not dominated by any other individual that is not in any nondominated front with smaller n.
Fitnesses are maximized, so the individuals in lower numbered nondominated fronts tend to have higher fitness values.
rank_nondominated(fitnesses, epsilon = 0)
(numeric matrix
)
fitness matrix, with one row per individual and one column per objective
(numeric
)
Epsilon-vaue for non-dominance. A value is epsilon-dominated by another if it is at least epsilon
smaller than
the other in all dimensions, and more than epsilon
smaller than the other in one dimension. epsilon
may
be a scalar, in which case it is used for all dimensions or a vector, in which case its length must match
the number of dimensions. Default 0.
list
: $front
: Vector assigning each individual in fitnesses
its nondominated front.
$domcount
: Length N vector counting the number of individuals that dominate the given individual.