LPDMRSortInferenceExact <- function(performanceTable, assignments, categoriesRanks, criteriaMinMax, majorityRule = "M", readableWeights = FALSE, readableProfiles = FALSE, minmaxLPD = FALSE, alternativesIDs = NULL, criteriaIDs = NULL){
## check the input data
if (!((is.matrix(performanceTable) || (is.data.frame(performanceTable)))))
stop("wrong performanceTable, should be a matrix or a data frame")
if (!(is.vector(assignments)))
stop("assignments should be a vector")
if (!(is.vector(categoriesRanks)))
stop("categoriesRanks should be a vector")
if (!(is.vector(criteriaMinMax)))
stop("criteriaMinMax should be a vector")
if (!is.character(majorityRule))
stop("majorityRule should be a character or a string of characters")
else if (!(majorityRule %in% c("M","V","D","v","d","dV","Dv","dv")))
stop("majorityRule needs to take values in {'M','V','D','v','d','dV','Dv','dv'}")
if (!is.logical(readableWeights))
stop("readableWeights should be a boolean")
if (!is.logical(readableProfiles))
stop("readableProfiles should be a boolean")
if (!is.logical(minmaxLPD))
stop("minmaxLPD should be a boolean")
if (!(is.null(alternativesIDs) || is.vector(alternativesIDs)))
stop("alternativesIDs should be a vector")
if (!(is.null(criteriaIDs) || is.vector(criteriaIDs)))
stop("criteriaIDs should be a vector")
## filter the data according to the given alternatives and criteria
if (!is.null(alternativesIDs)){
performanceTable <- performanceTable[alternativesIDs,]
assignments <- assignments[alternativesIDs]
}
if (!is.null(criteriaIDs)){
performanceTable <- performanceTable[,criteriaIDs]
criteriaMinMax <- criteriaMinMax[criteriaIDs]
}
# data is filtered, check for some data consistency
# if there are less than 2 criteria or 2 alternatives, there is no MCDA problem
if (is.null(dim(performanceTable)))
stop("less than 2 criteria or 2 alternatives")
# -------------------------------------------------------
numCrit <- dim(performanceTable)[2]
numAlt <- dim(performanceTable)[1]
numCat <- length(categoriesRanks)
tempPath <- tempdir()
# get model file depending on function options
modelfilename <- paste("MRSort", c("","V","D","DV1","DV2","DV3","DV4","DV5")[match(majorityRule,c("M","V","D","v","d","dV","Dv","dv"))], "InferenceModel", sep = "")
if(readableWeights || readableProfiles)
{
modelfilename <- paste(modelfilename, "Spread", sep = "")
if(readableWeights)
modelfilename <- paste(modelfilename, "Weights", sep = "")
if(readableProfiles)
modelfilename <- paste(modelfilename, "Profiles", sep = "")
}
if(minmaxLPD & majorityRule != "")
modelfilename <- paste(modelfilename, "LPD", sep = "")
modelfilename <- paste(modelfilename, ".gmpl", sep = "")
modelFile <- system.file("extdata", modelfilename, package="MCDA")
dataFile <- tempfile()
file.copy(modelFile, dataFile)
sink(dataFile, append=TRUE)
cat("data;\n")
cat("param X := ")
cat(numAlt)
cat(";\n\n")
cat("param F := ")
cat(numCrit)
cat(";\n\n")
cat("param Fdir := \n")
for (i in 1:numCrit){
cat(i)
cat("\t")
if (criteriaMinMax[i]=="min")
cat("-1")
else
cat("1")
if (i!=numCrit)
cat("\n")
else
cat(";\n\n")
}
cat("param Fmin :=\n")
for (i in 1:numCrit){
cat(i)
cat("\t")
cat(apply(performanceTable, 2, min)[i])
if (i!=numCrit)
cat("\n")
else
cat(";\n\n")
}
cat("param Fmax :=\n")
for (i in 1:numCrit){
cat(i)
cat("\t")
cat(apply(performanceTable, 2, max)[i])
if (i!=numCrit)
cat("\n")
else
cat(";\n\n")
}
cat("param K := ")
cat(numCat)
cat(";\n\n")
cat("param A:=\n")
for (i in 1:numAlt){
cat(i)
cat("\t")
cat(categoriesRanks[assignments[i]])
if (i!=numAlt)
cat("\n")
else
cat(";\n\n")
}
cat("param PTx : ")
cat(1:numCrit)
cat(" := \n")
for (i in 1:numAlt){
cat(i)
cat("\t")
cat(performanceTable[i,])
if (i!=numAlt)
cat("\n")
else
cat(";\n\n")
}
cat("param gamma:=0.001;\n")
cat("end;\n")
sink()
lp<-initProbGLPK()
tran<-mplAllocWkspGLPK()
setMIPParmGLPK(PRESOLVE, GLP_ON)
termOutGLPK(GLP_OFF)
out<-mplReadModelGLPK(tran, dataFile, skip=0)
if (is.null(out))
out <- mplGenerateGLPK(tran)
else
stop(return_codeGLPK(out))
if (is.null(out))
mplBuildProbGLPK(tran,lp)
else
stop(return_codeGLPK(out))
solveMIPGLPK(lp)
solverStatus <- paste("Failed (",return_codeGLPK(mipStatusGLPK(lp)),")")
error <- TRUE
if(mipStatusGLPK(lp)==5){
solverStatus <- 'Solution found'
mplPostsolveGLPK(tran, lp, sol = GLP_MIP)
solution <- mipColsValGLPK(lp)
varnames <- c()
for (i in 1:length(solution))
varnames <- c(varnames,getColNameGLPK(lp,i))
paro <- "["
parc <- "]"
error <- FALSE
}
if (!error){
lambda <- solution[varnames=="lambda"]
weightsnames <- c()
for (i in 1:numCrit)
{
weightsnames <- c(weightsnames,paste("w",paro,i,parc,sep=""))
}
weights <- c()
for (i in 1:numCrit)
weights <- c(weights,solution[varnames==weightsnames[i]])
names(weights) <- colnames(performanceTable)
ptknames <- matrix(nrow=numCat,ncol=numCrit)
for (i in 2:(numCat+1)){
for (j in 1:numCrit)
{
ptknames[i-1,j] <- paste("PTk",paro,i,",",j,parc,sep="")
}
}
profilesPerformances <- matrix(rep(NA,numCat*numCrit),nrow=numCat,ncol=numCrit)
# the last profile (bottom one) doesn't do anything so we keep it NA
for (i in 1:(numCat-1)){
for (j in 1:numCrit)
profilesPerformances[i,j] <- solution[varnames==ptknames[i,j]]
}
rownames(profilesPerformances) <- names(categoriesRanks)
colnames(profilesPerformances) <- colnames(performanceTable)
vetoPerformances <- NULL
if(majorityRule %in% c("V","v","d","dV","Dv","dv"))
{
ptvnames <- matrix(nrow=numCat,ncol=numCrit)
for (i in 2:(numCat+1)){
for (j in 1:numCrit)
{
ptvnames[i-1,j] <- paste("PTv",paro,i,",",j,parc,sep="")
}
}
vetoPerformances <- matrix(rep(NA,numCat*numCrit),nrow=numCat,ncol=numCrit)
# bottom profile doesn't do anything, keep it as NA
for (i in 1:(numCat-1)){
for (j in 1:numCrit)
vetoPerformances[i,j] <- solution[varnames==ptvnames[i,j]]
}
rownames(vetoPerformances) <- names(categoriesRanks)
colnames(vetoPerformances) <- colnames(performanceTable)
}
dictatorPerformances <- NULL
if(majorityRule %in% c("D","v","d","dV","Dv","dv"))
{
ptdnames <- matrix(nrow=numCat,ncol=numCrit)
for (i in 2:(numCat+1)){
for (j in 1:numCrit)
{
ptdnames[i-1,j] <- paste("PTd",paro,i,",",j,parc,sep="")
}
}
dictatorPerformances <- matrix(rep(NA,numCat*numCrit),nrow=numCat,ncol=numCrit)
# bottom profile doesn't do anything, keep it as NA
for (i in 1:(numCat-1)){
for (j in 1:numCrit)
dictatorPerformances[i,j] <- solution[varnames==ptdnames[i,j]]
}
rownames(dictatorPerformances) <- names(categoriesRanks)
colnames(dictatorPerformances) <- colnames(performanceTable)
}
if(majorityRule %in% c("V","v","d","dV","Dv","dv"))
{
# determine which vetoes are actually used and remove those that are simply an artefact of the linear program
used <- LPDMRSortIdentifyUsedVetoProfiles(performanceTable, assignments, sort(categoriesRanks), criteriaMinMax, lambda, weights, profilesPerformances, vetoPerformances, dictatorPerformances, majorityRule, alternativesIDs, criteriaIDs)
for (k in (numCat-1):1)
{
cat <- names(categoriesRanks)[categoriesRanks == k]
for (j in 1:numCrit)
{
if (!used[cat,j])
vetoPerformances[cat,j] <- NA
}
}
}
if(majorityRule %in% c("D","v","d","dV","Dv","dv"))
{
# determine which dictators are actually used and remove those that are simply an artefact of the linear program
used <- LPDMRSortIdentifyUsedDictatorProfiles(performanceTable, assignments, sort(categoriesRanks), criteriaMinMax, lambda, weights, profilesPerformances, dictatorPerformances, vetoPerformances, majorityRule, alternativesIDs, criteriaIDs)
for (k in (numCat-1):1)
{
cat <- names(categoriesRanks)[categoriesRanks == k]
for (j in 1:numCrit)
{
if (!used[cat,j])
dictatorPerformances[cat,j] <- NA
}
}
}
return(list(lambda = lambda, weights = weights, profilesPerformances = profilesPerformances, vetoPerformances = vetoPerformances, dictatorPerformances = dictatorPerformances, solverStatus = solverStatus))
}
else
{
return(list(solverStatus = solverStatus))
}
}
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