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#' @title To execute divisive hierarchical clusterization algorithm by distance and approach.
#' @description To execute complete divisive hierarchical clusterization algorithm by choosing distance and approach types.
#' @param data could be a numeric vector, a matrix or a numeric data frame. It will be transformed into matrix and list to be used.
#' @param distance is a string. It chooses the distance to use.
#' @param approach is a string. It chooses the approach to use.
#' @details This function is the main part of the divisive hierarchical clusterization method.
#' It executes the theoretical algorithm step by step.
#' @details 1 - The function transforms data in useful object to be used.
#' @details 2 - It creates a cluster that includes every simple elements.
#' @details 3 - It initializes posible clusters using the initial elements.
#' @details 4 - It calculates a matrix distance with the clusters created in the 3rd step.
#' @details 5 - It chooses the maximal distance value and gets the clusters to be divided.
#' @details 6 - It divides the cluster into two new complementary clusters and updates the clusters list.
#' @details 6 - It repeats these steps until every cluster can't be divided again. The solution includes every simple cluster.
#' @author Roberto Alcántara \email{roberto.alcantara@@edu.uah.es}
#' @author Juan José Cuadrado \email{jjcg@@uah.es}
#' @author Universidad de Alcalá de Henares
#' @return A list with the divided clusters.
#' @examples
#'
#' a <- c(1,2,1,3,1,4,1,5,1,6)
#'
#' matrixA <- matrix(a,ncol=2)
#'
#' dataFrameA <- data.frame(matrixA)
#'
#' divisiveHC(a,'EUC','MAX')
#'
#' divisiveHC(matrixA,'MAN','AVG')
#'
#' divisiveHC(dataFrameA,'CHE','MIN')
#'
#' @export
divisiveHC <-
function(data,distance,approach){
if(!is.data.frame(data)){
mtx <- matrix(data, ncol=2)
plot(mtx, main = 'Initial Data Visualization',xlab = 'First property', ylab = 'Second property')
}
list <- toListDivisive(data)
lengthList <- length(list)
clustersList <- initClusters(list)
init <- clustersList[[length(clustersList)]]
activeClusters <- list(init)
clusters <- list(init)
while(length(activeClusters) > 0){
# cat('_____________________________________________________________________________________________')
# cat('-------------- i ', i,'\n')
initializedClusters <- list()
maxValues <- c()
matrix <- list()
posibleClusters <- list()
for (i in c(1:length(activeClusters))) {
list <- toListDivisive(activeClusters[[i]])
initializedClusters[[length(initializedClusters) + 1]] <- list
clustersList <- initClusters(list)
posibleClusters[[length(posibleClusters) + 1]] <- clustersList
matrixDistance <- mdDivisive(clustersList,distance,approach,list)
matrix[[length(matrix) + 1]] <- matrixDistance
maxDistance <- maxDistance(matrixDistance)
maxValues <- c(maxValues, maxDistance)
}
selectedCluster <- getClusterDivisive(max(maxValues), maxValues)
list <- initializedClusters[[selectedCluster]]
clustersList <- posibleClusters[[selectedCluster]]
matrixDistance <- matrix[[selectedCluster]]
maxDistance <- maxValues[[selectedCluster]]
goal <- activeClusters[[selectedCluster]]
groupedClusters <- getCluster(maxDistance, matrixDistance)
dividedClusters1 <- clustersList[groupedClusters[1]]
dividedClusters2 <- clustersList[groupedClusters[2]]
clusters[length(clusters)+1] <- dividedClusters1
clusters[length(clusters)+1] <- dividedClusters2
aux <- list()
for (cluster in c(1:length(activeClusters))) {
if(!equalCluster(activeClusters[[cluster]],goal)){
aux[[length(aux) + 1]] <- activeClusters[[cluster]]
}
}
activeClusters <- aux
if(nrow(dividedClusters1[[1]]) > 1){
activeClusters <- c(activeClusters, dividedClusters1)
}
if(nrow(dividedClusters2[[1]]) > 1){
activeClusters <- c(activeClusters, dividedClusters2)
}
}
for (index in c(1:length(clusters))) {
cluster <- clusters[[index]]
clusters[[index]] <- data.frame(cluster)
}
clusters
}
equalCluster <- function(cluster1,cluster2){
bool <- FALSE
aux <- c()
if(nrow(cluster1) != nrow(cluster2)){
bool <- FALSE
} else {
for (k in (1:nrow(cluster1))) {
row1 <- cluster1[k,]
row2 <- cluster2[k,]
if ((row1[1] == row2[1]) & (row1[2] == row2[2])){
aux <- c(aux, TRUE)
}
}
}
if(length(aux) == nrow(cluster1)){
bool <- TRUE
}
bool
}
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