Synthetic data
Synthetic dataset with 2 non-spherical clusters.
data(synt.data2)
A matrix with 240 rows and 2 columns.
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.
Paolo Giordani, Maria Brigida Ferraro, Alessio Serafini
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.
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)
Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.