fanny.object: Fuzzy Analysis (FANNY) Object

In cluster: "Finding Groups in Data": Cluster Analysis Extended Rousseeuw et al.

Fuzzy Analysis (FANNY) Object

Description

The objects of class "fanny" represent a fuzzy clustering of a dataset.

Value

A legitimate fanny object is a list with the following components:

membership	matrix containing the memberships for each pair consisting of an observation and a cluster.
memb.exp	the membership exponent used in the fitting criterion.
coeff	Dunn's partition coefficient F(k) of the clustering, where k is the number of clusters. F(k) is the sum of all squared membership coefficients, divided by the number of observations. Its value is between 1/k and 1. The normalized form of the coefficient is also given. It is defined as (F(k) - 1/k) / (1 - 1/k), and ranges between 0 and 1. A low value of Dunn's coefficient indicates a very fuzzy clustering, whereas a value close to 1 indicates a near-crisp clustering.
clustering	the clustering vector of the nearest crisp clustering, see partition.object.
k.crisp	integer (\le k) giving the number of crisp clusters; can be less than k, where it's recommended to decrease memb.exp.
objective	named vector containing the minimal value of the objective function reached by the FANNY algorithm and the relative convergence tolerance tol used.
convergence	named vector with iterations, the number of iterations needed and converged indicating if the algorithm converged (in maxit iterations within convergence tolerance tol).
diss	an object of class "dissimilarity", see partition.object.
call	generating call, see partition.object.
silinfo	list with silhouette information of the nearest crisp clustering, see partition.object.
data	matrix, possibibly standardized, or NULL, see partition.object.

GENERATION

These objects are returned from fanny.

METHODS

The "fanny" class has methods for the following generic functions: print, summary.

INHERITANCE

The class "fanny" inherits from "partition". Therefore, the generic functions plot and clusplot can be used on a fanny object.

See Also

fanny, print.fanny, dissimilarity.object, partition.object, plot.partition.

cluster documentation built on Nov. 28, 2023, 1:07 a.m.