The associations class is a virtual class which is extended to
  represent mining result (e.g., sets of itemsets or rules).  The class
  provides accessors for the quality slot and a method for sorting the
  associations.
A virtual class: No objects may be created from it.
quality:a data.frame for quality measures (e.g., interest measures as support or confidence). Each quality measure is a named vector with the same length as the number of elements in the set of associations and each vector element belongs to the association with the same index.
info:a list which is used to store algorithm specific
      mining information. Typically it contains a least the elements
      "data" (name of the transaction data set), 
      "ntransactions" (length of the data set), 
      "support" (the minimum support used for mining).
signature(x = "associations");
      replaces the info list.
signature(x = "associations");
      returns the info list.
signature(x = "associations");
      dummy method. This method has to be implemented by all subclasses
      of associations and return the items which make up each
      association as an object of class 
      itemMatrix.
signature(object = "associations");
      dummy method. This method has to be implemented by all subclasses
      of associations and return a vector
      of length(object) of labels
      for the elements in the association.
signature(x = "associations");
      dummy method. This method has to be implemented by all subclasses
      of associations and return the number of elements in the 
      association.
signature(x = "associations");
      replaces the quality data.frame.  The lengths of the vectors
      in the data.frame have to equal the number of associations
      in the set.
signature(x = "associations");
      returns the quality data.frame.
signature(object = "associations")
The implementations of associations store itemsets (e.g., the LHS and RHS of a rule) as objects of class itemMatrix (i.e., sparse binary matrices). Quality measures (e.g., support) are stored in a data.frame accessible via method quality.
Associations can store multisets with duplicated
elements. Duplicated elements can result from combining several sets of associations. 
Use unique to remove duplicate associations.
sort,
  write,
  length,
  is.subset,
  is.superset,
  sets,
  unique,
  itemMatrix-class