fanny.object {cluster} | R Documentation

## 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 (<= 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`.

[Package cluster version 1.11.0 Index]