Normalize function

Objective space normalization.

Normalize the objectives AND reference (combined) to 0-1. The origin is the ideal point. (1,...,1) is the nadir.

Normalize(objectiveValue, referencePoints = NULL)

Arguments

• objectiveValue: Set of objective vectors to normalize
• referencePoints: Set of reference points to transform following the objective vector normalization

Returns

A list containing the following: normalizedObjective The normalized values idealPoint The ideal point corresponding to the origin transformedReference The location of reference points in the normalized Space

Examples

nObj <- 5
nVar <- 10
nIndividual <- 100
population <- InitializePopulationLHS(nIndividual,nVar,FALSE)
objective <- matrix(,nrow=nObj,ncol=nIndividual)
for(individual in 1:nIndividual){
   objective[,individual] <- WFG4(population[,individual],nObj)
}
Normalize(objective)