cluster (version 1.3-2)

fanny.object: 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:
• objective
  the objective function and the number of iterations the fanny algorithm needed to reach this minimal value.
• membership
  matrix containing the memberships for each pair consisting of an observation and a cluster.
• 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 always 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. A vector with length equal to the number of observations, giving for each observation the number of the cluster to which it has the largest membership.
• silinfo
  list with all information necessary to construct a silhouette plot of the nearest crisp clustering. This list is only available when 1 < k < n. The first component is a matrix, with for each observation i the cluster to which i belongs, as well as the neighbor cluster of i (the cluster, not containing i, for which the average dissimilarity between its observations and i is minimal), and the silhouette width of i. The other two components give the average silhouette width per cluster and the average silhouette width for the dataset. See plot.partition for more information.
• diss
  an object of class "dissimilarity", representing the total dissimilarity matrix of the dataset.
• data
  a matrix containing the original or standardized measurements, depending on the stand option of the function fanny. If a dissimilarity matrix was given as input structure, then this component is not available.

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, dissimilarity.object, partition.object, plot.partition.