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 iff `memb.exp = 2`. 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 (currently, only when `memb.exp = 2`; this may change in the future). 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`. `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.

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