emoa: binary_indicator – R documentation

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binary_indicator

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.

emoa

Evolutionary Multiobjective Optimization Algorithms

v0.5-0.1

GPL-2

Authors

Olaf Mersmann <olafm@statistik.tu-dortmund.de>

Initial release