Validation Index
Validation index for validating fuzzy clustering result
validation.index(object)
object |
fuzzy clustering object |
This function provide several validation indexs that calculated from fuzzy clustering result. Validation index can be used for choose best optimum parameter.
There are PC, MPC, CE, S, Xie Beni, Kwon, and Tang index. PC (Partition Coefficient), MPC (Modified Partition Coefficient), and CE (Classification Entropy) are calculated from membership matrix. S (Separation Index), Xie Beni, Kwon, and Tang use both distance and membership matrix.
The best cluster result can be decided with minimum value of index, except MPC and PC use maximum value.
validation index object.
XBXie Beni Index
PCPartition Coef.
MPCModifief Partition Coef.
KwonKwon Index
TangTang Index
SSeparation Index
CEClassification Entropy
Achmad Fauzi Bagus F
Wang, W., & Zhang, Y. (2007). On Fuzzy Cluster Validity Indices. Fuzzy Sets and System, 2095-2117.
fuzzy.CM(iris[,1:4],K=3,m=2,max.iteration=100,threshold=1e-5,RandomNumber=1234)->cl validation.index(cl)->valid #example for Xie Beni index XB(valid)
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