\Header{fanny.object}{Fuzzy Analysis (FANNY) Object}
\keyword{cluster}{fanny.object}
\begin{Description}\relax
The objects of class \code{"fanny"} represent a fuzzy clustering of a
dataset.
\end{Description}
\begin{Value}
A legitimate \code{fanny} object is a list with the following components:
\begin{ldescription}
\item[\code{membership}] matrix containing the memberships for each pair consisting of an
observation and a cluster.

\item[\code{coeff}] Dunn's partition coefficient \eqn{F(k)}{} of the clustering, where
\eqn{k}{} is the number of clusters. \eqn{F(k)}{} is the sum of all
squared membership coefficients, divided by the number of
observations.  Its value is always between \eqn{1/k}{} and 1.

The normalized form of the coefficient is also given. It is defined as
\eqn{(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.

\item[\code{clustering}] the clustering vector of the nearest crisp clustering, see
\code{\Link{partition.object}}.
\item[\code{objective}] the objective function and the number of iterations the \code{fanny}
algorithm needed to reach this minimal value.

\item[\code{diss}] an object of class \code{"dissimilarity"}, see
\code{\Link{partition.object}}.
\item[\code{call}] generating call, see \code{\Link{partition.object}}.
\item[\code{silinfo}] list with silhouette information of the nearest crisp clustering, see
\code{\Link{partition.object}}.
\item[\code{data}] matrix, possibibly standardized, or NULL, see
\code{\Link{partition.object}}.
\end{ldescription}
\end{Value}
\begin{Section}{GENERATION}
These objects are returned from \code{\Link{fanny}}.
\end{Section}
\begin{Section}{METHODS}
The \code{"fanny"} class has methods for the following generic functions:
\code{print}, \code{summary}.
\end{Section}
\begin{Section}{INHERITANCE}
The class \code{"fanny"} inherits from \code{"partition"}.
Therefore, the generic functions \code{plot} and \code{clusplot} can
be used on a \code{fanny} object.
\end{Section}
\begin{SeeAlso}\relax
\code{\Link{fanny}}, \code{\Link{dissimilarity.object}},
\code{\Link{partition.object}}, \code{\Link{plot.partition}}.
\end{SeeAlso}

