Research Article

Novel Two-Dimensional Visualization Approaches for Multivariate Centroids of Clustering Algorithms

Algorithm 7

The weighted K-means++ and mapping by relief.
Input: Number of the centroids, k
Output: Map with C placed, M
Begin
C′ :  Set of the centroids obtained by the traditional K-means++ clustering in Algorithm 1
Ω :  Set of the clusters of the instances in I, computed by C
I′ :  Set of the instances, with a new attribute as the target by filling it with Ω
RF :  Set of the weight values obtained by information gain feature selection method
C :  Set of the centroids obtained by the traditional K-means++ clustering in Algorithm 3
fc :  The highest ranked feature in RF
FC :  Set of the values in the fcth feature in C
wc :  Sum of the scores in the features except the fcth feature
WC :  Set of the average of the values in the other features
For i = 1 : k
 FCi = Ci,fc
For i = 1 : k
 For j = 1 : f
  If j is not equal to fc
   WCi = WCi + Ci,j
For i = 1 : f
 If j is not equal to fc
  wc = wc + RFi
For i = 1 : k
 WCi = WCi/wc
minfc: The minimum value is in FC
maxfc: The maximum value is in FC
minwc: The minimum value is in WC
maxwc: The maximum value is in WC
For i = 1 : k
 For j = 1 : f
  Ei,j= [Ci,j - minj] c/(maxj - minj)
Return M where the centroids in E are mapped
End