| hypervolume_indicator {emoa} | R Documentation |
Binary quality indicators
Description
Calculates the quality indicator value of the set of points given in
x with respect to the set given in o. As with all
functions in emoa that deal with sets of objective values
these are stored by column.
Usage
hypervolume_indicator(points, o, ref)
epsilon_indicator(points, o)
r1_indicator(points, o, ideal, nadir, lambda, utility = "Tchebycheff")
r2_indicator(points, o, ideal, nadir, lambda, utility = "Tchebycheff")
r3_indicator(points, o, ideal, nadir, lambda, utility = "Tchebycheff")
Arguments
points |
Matrix of points for which to calculate the indicator value stored one per column. |
o |
Matrix of points of the reference set. |
ref |
Reference point, if omitted, the nadir of the point sets is used. |
ideal |
Ideal point of true Pareto front. If omited the ideal of both point sets is used. |
nadir |
Nadir of the true Pareto front. If ommited the nadir of both point sets is used. |
lambda |
Number of weight vectors to use in estimating the utility. |
utility |
Name of utility function. |
Value
Value of the quality indicator.
Author(s)
Olaf Mersmann olafm@statistik.tu-dortmund.de
References
Zitzler, E., Thiele, L., Laumanns, M., Fonseca, C., and Grunert da Fonseca, V (2003): Performance Assessment of Multiobjective Optimizers: An Analysis and Review. IEEE Transactions on Evolutionary Computation, 7(2), 117-132.