# fanny.object {cluster}

### Description

The objects of class `"fanny"`

represent a fuzzy clustering of a dataset.

### Values

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 (<= 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`

.

### 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 2.0.4. License: GPL (>= 2)