fclust (version 2.1.1.1)

RI.F: Fuzzy Rand index

Description

Produces the fuzzy version of the Rand index between a hard (reference) partition and a fuzzy partition.

Usage

RI.F(VC, U, t_norm)

Value

ri.fValue of the fuzzy adjusted Rand index

Arguments

VC

Vector of class labels

U

Fuzzy membership degree matrix or data.frame

t_norm

Type of the triangular norm: "minimum" (minimum triangular norm), "triangular product" (product norm) (default: "minimum")

Author

Paolo Giordani, Maria Brigida Ferraro, Alessio Serafini

References

Campello, R.J., 2007. A fuzzy extension of the Rand index and other related indexes for clustering and classification assessment. Pattern Recognition Letters, 28, 833-841.
Rand, W.M., 1971. Objective criteria for the evaluation of clustering methods. Journal of the American Statistical Association, 66, 846-850.

See Also

ARI.F, JACCARD.F, Fclust.compare

Examples

if (FALSE) {
## 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)
## fuzzy Rand index
ri.f=RI.F(VC=Mc$Type,U=clust$U)
}