# fanny.object

##### Fuzzy Analysis (FANNY) Object

The objects of class `"fanny"`

represent a fuzzy clustering of a
dataset.

- Keywords
- cluster

##### Value

A legitimate `fanny`

object is a list with the following components:

matrix containing the memberships for each pair consisting of an observation and a cluster.

the membership exponent used in the fitting criterion.

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.

the clustering vector of the nearest crisp clustering, see
`partition.object`

.

integer (\(\le k\)) giving the number of *crisp*
clusters; can be less than \(k\), where it's recommended to
decrease `memb.exp`

.

named vector containing the minimal value of the objective function
reached by the FANNY algorithm and the relative convergence
tolerance `tol`

used.

named vector with `iterations`

, the number of iterations needed
and `converged`

indicating if the algorithm converged (in
`maxit`

iterations within convergence tolerance `tol`

).

an object of class `"dissimilarity"`

, see
`partition.object`

.

generating call, see `partition.object`

.

list with silhouette information of the nearest crisp clustering, see
`partition.object`

.

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`

.

*Documentation reproduced from package cluster, version 2.0.7-1, License: GPL (>= 2)*