fuzzy.GK: Gustafson Kessel

In AchmadFauzi/RcmdrPlugin.Fuzzcluster: R Commander Plug-in for Fuzzy Clustering Methods (Fuzzy C-Means and Gustafson Kessel)

Description

This function used to perform Gustafson Kessel Clustering of X dataset.

Usage

fuzzy.GK(X, K, m, max.iteration, threshold, RandomNumber)

Arguments

X	data frame n x p
K	specific number of cluster (must be >1)
m	fuzzifier / degree of fuzziness
max.iteration	maximum iteration to convergence
threshold	threshold of convergence
RandomNumber	specific seed

Details

This function perform Fuzzy C-Means algorithm by Gustafson Kessel (1968). Gustafson Kessel (GK) is one of fuzzy clustering methods to clustering dataset become K cluster. Number of cluster (K) must be greater than 1. To control the overlaping or fuzziness of clustering, parameter m must be specified. Maximum iteration and threshold is specific number for convergencing the cluster. Random Number is number that will be used for seeding to firstly generate fuzzy membership matrix.

Clustering will produce fuzzy membership matrix (U) and fuzzy cluster centroid (V). The greatest value of membership on data point will determine cluster label. Centroid or cluster center can be use to interpret the cluster. Both membership and centroid produced by calculating mathematical distance. Fuzzy C-Means calculate distance with Covariance Cluster norm distance. So it can be said that cluster will have both sperichal and elipsodial shape of geometry.

Value

func.obj objective function that calculated.

U matrix n x K consist fuzzy membership matrix

V matrix K x p consist fuzzy centroid

D matrix n x K consist distance of data to centroid that calculated

Clust.desc cluster description (dataset with additional column of cluster label)

AchmadFauzi/RcmdrPlugin.Fuzzcluster documentation built on May 5, 2019, 11:46 a.m.