# Find Maximal Itemsets

### Description

Provides the generic function and the S4 method `is.maximal`

for finding
maximal itemsets.

### Usage

1 2 3 4 | ```
is.maximal(x,...)
## S4 method for signature 'itemMatrix'
is.maximal(x)
``` |

### Arguments

`x` |
the set of itemsets, rules or an itemMatrix object. |

`...` |
further arguments. |

### Details

An itemset is maximal in a set if no proper superset of the itemset is contained in the set (Zaki et al., 1997).

We define here maximal rules, as the rules generated by maximal itemsets.

### Value

a logical vector with the same length as `x`

indicating
for each element in `x`

if it is a maximal itemset.

### Author(s)

Michael Hahsler

### References

Mohammed J. Zaki, Srinivasan Parthasarathy, Mitsunori Ogihara, and Wei Li
(1997). *New algorithms for fast discovery of association rules*.
Technical Report 651, Computer Science Department, University of Rochester,
Rochester, NY 14627.

### See Also

`is.superset`

,
`itemMatrix-class`

,
`itemsets-class`