whv_rect: Compute (total) weighted hypervolume given a set of...

Description Usage Arguments Details Value References See Also Examples

View source: R/whv.R

Description

The function whv_rect() calculates the hypervolume weighted by a set of rectangles (with zero weight outside the rectangles). The function total_whv_rect() calculates the total weighted hypervolume as hypervolume() + scalefactor * abs(prod(reference - ideal)) * whv_rect(). The details of the computation are given by \citetDiaLop2020ejor.

Usage

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whv_rect(data, rectangles, reference, maximise = FALSE)

total_whv_rect(
  data,
  rectangles,
  reference,
  maximise = FALSE,
  ideal = NULL,
  scalefactor = 0.1
)

Arguments

data

(matrix | data.frame)
Matrix or data frame of numerical values, where each row gives the coordinates of a point.

rectangles

(matrix()) weighted rectangles that will bias the computation of the hypervolume. Maybe generated by eafdiff() with rectangles=TRUE or by choose_eafdiff().

reference

(numeric())
Reference point as a vector of numerical values.

maximise

(logical() | logical(1))
Whether the objectives must be maximised instead of minimised. Either a single logical value that applies to all objectives or a vector of logical values, with one value per objective.

ideal

(numeric())
Ideal point as a vector of numerical values.

scalefactor

(numeric(1)) real value within (0,1] that scales the overall weight of the differences. This is parameter psi (ψ) in \citetDiaLop2020ejor.

Details

TODO

Value

A single numerical value.

References

\insertAllCited

See Also

read_datasets(), eafdiff(), choose_eafdiff(), whv_hype()

Examples

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rectangles <- as.matrix(read.table(header=FALSE, text='
 1.0  3.0  2.0  Inf    1
 2.0  3.5  2.5  Inf    2
 2.0  3.0  3.0  3.5    3
'))
whv_rect (matrix(2, ncol=2), rectangles, reference = 6)
whv_rect (matrix(c(2, 1), ncol=2), rectangles, reference = 6)
whv_rect (matrix(c(1, 2), ncol=2), rectangles, reference = 6)

total_whv_rect (matrix(2, ncol=2), rectangles, reference = 6, ideal = c(1,1))
total_whv_rect (matrix(c(2, 1), ncol=2), rectangles, reference = 6, ideal = c(1,1))
total_whv_rect (matrix(c(1, 2), ncol=2), rectangles, reference = 6, ideal = c(1,1))

eaf documentation built on May 7, 2021, 5:06 p.m.