Fclust.compare: Similarity between partitions

In fclust: Fuzzy Clustering

Similarity between partitions

Description

Performs some measures of similarity between a hard (reference) partition and a fuzzy partition.

Usage

Fclust.compare(VC, U, index, tnorm)

Arguments

VC	Vector of class labels
U	Fuzzy membership degree matrix or data.frame
index	Measures of similarity: "ARI.F" (fuzzy version of the adjuster Rand index), "RI.F" (fuzzy version of the Rand index), "JACCARD.F" (fuzzy version of the Jaccard index), "ALL" for all the indexes (default: "ALL")
tnorm	Type of the triangular norm: "minimum" (minimum triangular norm), "triangular product" (product norm) (default: "minimum")

Details

index is not case-sensitive. All the measures of similarity share the same properties of their non-fuzzy counterpart.

Value

out.indexVector containing the similarity measures

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.
Jaccard, P., 1901. Étude comparative de la distribution florale dans une portion des Alpes et des Jura. Bulletin de la Société Vaudoise des Sciences Naturelles, 37, 547-579.
Rand, W.M., 1971. Objective criteria for the evaluation of clustering methods. Journal of the American Statistical Association, 66, 846-850.

See Also

RI.F, ARI.F, JACCARD.F

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)
## all measures of similarity
all.indexes=Fclust.compare(VC=Mc$Type,U=clust$U)
## fuzzy adjusted Rand index
Fari.index=Fclust.compare(VC=Mc$Type,U=clust$U,index="ARI.F")

## End(Not run)

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