FKM.gk: Gustafson and Kessel - like fuzzy k-means

Description

Performs the Gustafson and Kessel - like fuzzy k-means clustering algorithm.

Usage

FKM.gk (X, k, m, vp, RS, stand, startU, conv, maxit)

Arguments

Matrix or data.frame

Number of clusters (default: 2)

Parameter of fuzziness (default: 2)

Volume parameter (default: rep(1,k))

Number of (random) starts (default: 1)

stand

Standardization: if stand=1, the clustering algorithm is run using standardized data (default: no standardization)

startU

Rational starting point for the membership degree matrix U (default: no rational start)

conv

Convergence criterion (default: 1e-9)

maxit

Maximum number of iterations (default: 1e+6)

Value

Object of class fclust, which is a list with the following components:
UMembership degree matrix
HPrototype matrix
FArray containing the covariance matrices of all the clusters
clusMatrix containing the indices of the clusters where the objects are assigned (column 1) and the associated membership degrees (column 2)
medoidVector containing the indices of the medoid objects (NULL for FKM.gk)
valueVector containing the loss function values for the RS starts
cputVector containing the computational times (user times) for the RS starts
iterVector containing the numbers of iterations for the RS starts
kNumber of clusters
mParameter of fuzziness
entDegree of fuzzy entropy (NULL for FKM.gk)
vpVolume parameter
deltaNoise distance (NULL for FKM.gk)
standStandardization (Yes if stand=1, No if stand=0)
XcaData used in the clustering algorithm (standardized data if stand=1)
XRaw data
callMatched call

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.

Examples

Run this code

data(unemployment)
## It may take more than a few seconds
clust=FKM.gk(unemployment,k=3,RS=10)