MPC: Modified partition coefficient

In fclust: Fuzzy Clustering

Modified partition coefficient

Description

Produces the modified partition coefficient index. The optimal number of clusters k is such that the index takes the maximum value.

Usage

 MPC (U)

Arguments

U	Membership degree matrix

Value

mpc	Value of the modified partition coefficient index

Author(s)

Paolo Giordani, Maria Brigida Ferraro, Alessio Serafini

References

Dave' R.N., 1996. Validating fuzzy partitions obtained through c-shells clustering. Pattern Recognition Letters, 17, 613-623.

See Also

PC, PE, SIL, SIL.F, XB, Fclust, Mc

Examples

## McDonald's data
data(Mc)
names(Mc)
## data normalization by dividing the nutrition facts by the Serving Size (column 1)
for (j in 2:(ncol(Mc)-1))
Mc[,j]=Mc[,j]/Mc[,1]
## removing the column Serving Size
Mc=Mc[,-1]
## fuzzy k-means
## (excluded the factor column Type (last column))
clust=FKM(Mc[,1:(ncol(Mc)-1)],k=6,m=1.5,stand=1)
## modified partition coefficient
mpc=MPC(clust$U)

fclust documentation built on Nov. 16, 2022, 5:10 p.m.