synt.data2: Synthetic data

In fclust: Fuzzy Clustering

Synthetic data

Description

Synthetic dataset with 2 non-spherical clusters.

Usage

data(synt.data2)

Format

A matrix with 240 rows and 2 columns.

Details

Although three clusters are clearly visible, Gustafson and Kessel - like fuzzy k-means clustering algorithm FKM.gk fails due to singularity of some covariance matrix. The Gustafson, Kessel and Babuska - like fuzzy k-means clustering algorithm FKM.gkb should be used to avoid singularity problem.

Author(s)

Paolo Giordani, Maria Brigida Ferraro, Alessio Serafini

References

Gustafson E.E., Kessel W.C., 1978. Fuzzy clustering with a fuzzy covariance matrix. Proceedings of the IEEE Conference on Decision and Control, pp. 761-766.

See Also

Fclust, FKM.gk, FKM.gkb, plot.fclust

Examples

data(synt.data2)
plot(synt.data2)

## Gustafson and Kessel-like fuzzy k-means
syntFKM.gk=FKM.gk(synt.data2, k = 3, RS = 1, seed = 123)
## Gustafson, Kessel and Babuska-like fuzzy k-means
syntFKM.gkb=FKM.gkb(synt.data2, k = 3, RS = 1, seed = 123)

fclust documentation built on Nov. 5, 2025, 7:10 p.m.