addNDSet {gMOIP}

Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme supported, non-supported.

Description

Add discrete points to a non-dominated set and classify them into extreme supported, non-extreme supported, non-supported.

Usage

addNDSet(
  pts,
  nDSet = NULL,
  crit = "max",
  keepDom = FALSE,
  dubND = FALSE,
  classify = TRUE
)

Arguments

pts

A data frame with points to add (a column for each objective).

nDSet

A data frame with current non-dominated set (NULL if none yet). Column names of the p objectives must be ⁠z1, ..., zp⁠.

crit

A max or min vector. If length one assume all objectives are optimized in the same direction.

keepDom

Keep dominated points in output.

dubND

Duplicated non-dominated points are classified as non-dominated.

classify

Non-dominated points are classified into supported extreme (se), supported non-extreme (sne) and unsupported (us).

Value

A data frame with a column for each objective (z columns) and nd (non-dominated). Moreover if classify then columns se, sne, us and cls.

Author(s)

Lars Relund [e-mail]

Examples

nDSet <- data.frame(z1=c(12,14,16,18), z2=c(18,16,12,4))
pts <- data.frame(z1 = c(18,18,14,15,15), z2=c(2,6,14,14,16))
addNDSet(pts, nDSet, crit = "max")
addNDSet(pts, nDSet, crit = "max", keepDom = TRUE)
addNDSet(pts, nDSet, crit = "min")
addNDSet(c(2,2), nDSet, crit = "max")
addNDSet(c(2,2), nDSet, crit = "min")


nDSet <- data.frame(z1=c(12,14,16,18), z2=c(18,16,12,4), z3 = c(1,7,0,6))
pts <- data.frame(z1=c(12,14,16,18), z2=c(18,16,12,4), z3 = c(2,2,2,6))
crit = c("min", "min", "max")
di <- c(1,1,-1)
li <- c(-1,20)
ini3D(argsPlot3d = list(xlim = li, ylim = li, zlim = li))
plotCones3D(nDSet, direction = di, argsPolygon3d = list(color = "green", alpha = 1),
            drawPoint = FALSE)
plotHull3D(nDSet, addRays = TRUE, direction = di)
plotPoints3D(nDSet, argsPlot3d = list(col = "red"), addText = "coord")
plotPoints3D(pts, addText = "coord")
finalize3D()
addNDSet(pts, nDSet, crit, dubND = FALSE)
addNDSet(pts, nDSet, crit, dubND = TRUE)
addNDSet(pts, nDSet, crit, dubND = TRUE, keepDom = TRUE)
addNDSet(pts, nDSet, crit, dubND = TRUE, keepDom = TRUE, classify = FALSE)