ARI.F {fclust}

Fuzzy adjusted Rand index

Description

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

Usage

ARI.F(VC, U, t_norm)

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")

Value

ari.fValue of the fuzzy adjusted Rand index

Author(s)

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.
Hubert, L., Arabie, P., 1985. Comparing partitions. Journal of Classification, 2, 193-218.

See Also

RI.F, JACCARD.F, Fclust.compare

Examples

## Not run: 
## 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 adjusted Rand index
ari.f=ARI.F(VC=Mc$Type,U=clust$U)

## End(Not run)