fclust (version 1.0.1)

XB: Xie and Beni index

Description

Produces the Xie and Beni index. The optimal number of cluster k is achieved when the index value is minimized.

Usage

XB (Xca, U, H, m)

Arguments

Xca

Matrix or data.frame

U

Membership degree matrix

H

Prototype matrix

m

Parameter of fuzziness (default: 2)

Value

• xb
  Value of the Xie and Beni index

References

Xie X.L., Beni G. (1991). A validity measure for fuzzy clustering, IEEE Transactions on Pattern Analysis and Machine Intelligence, 13, 841-847.

See Also

PC, PE, MPC, SIL, SIL.F, Fclust

Examples

data(Mc)
for (j in 2:(ncol(Mc)-1))
Mc[,j]=Mc[,j]/Mc[,1]
Mc=Mc[,-1]
clust=FKM(Mc[,1:(ncol(Mc)-1)],k=6,m=1.5,stand=1)
xb=XB(clust$Xca,clust$U,clust$H,clust$m)