binary_indicator: Binary quality indicators

In olafmersmann/emoa: Evolutionary Multiobjective Optimization Algorithms

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 [e-mail]

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.

olafmersmann/emoa documentation built on Feb. 11, 2024, 11:24 p.m.