# Integration with the arules package

# Introduction

One of the goals in the design of this package is to be able to integrate with the `arules` package. This means that any one using the `arules` functionalities can export to and import from `fcaR` objects, more precisely, `FormalContext` and `ImplicationSet` objects.

    library(arules)
    #> Loading required package: Matrix
    #>
    #> Attaching package: 'arules'
    #> The following objects are masked from 'package:base':
    #>
    #>     abbreviate, write
    library(fcaR)

# Datasets

For these examples, we are using two binary datasets, `Mushroom` (from the `arules` package) and `planets` (from `fcaR`).

    data("Mushroom", package = "arules")

At the moment, in `arules` there is no support for fuzzy sets, so we must restrict ourselves to the binary case.

Let us create a `FormalContext` object for the `planets` dataset:

    fc_planets <- FormalContext$new(planets)

# Converting between formal contexts and transactions objects

We begin by converting between the objects which store the datasets.

## Importing a transactions object

It suffices to initialize a `FormalContext` object with the transactions dataset:

    fc <- FormalContext$new(Mushroom)
    fc
    #> Warning: Too many attributes, output will be truncated.
    #> FormalContext with 8124 objects and 114 attributes.
    #> Attributes' names are: Class=edible, Class=poisonous, CapShape=bell,
    #>   CapShape=conical, CapShape=flat, CapShape=knobbed, ...
    #> Matrix:
    #>   Class=edible Class=poisonous CapShape=bell CapShape=conical CapShape=flat
    #> 1            0               1             0                0             0
    #> 2            1               0             0                0             0
    #> 3            1               0             1                0             0
    #> 4            0               1             0                0             0
    #> 5            1               0             0                0             0
    #> 6            1               0             0                0             0
    #>   CapShape=knobbed CapShape=sunken
    #> 1                0               0
    #> 2                0               0
    #> 3                0               0
    #> 4                0               0
    #> 5                0               0
    #> 6                0               0

From this point, we can use all the functionalities in the `fcaR` package regarding formal contexts, concept lattices and implication sets.

## Exporting a FormalContext

The `to_transactions()` function enables us to export a formal context to a format compatible with the `arules` package:

    fc_planets$to_transactions()
    #> transactions in sparse format with
    #>  9 transactions (rows) and
    #>  7 items (columns)

and use the functionality in that package.

# Converting between implication sets and rules objects

Other point of integration between the two packages is the ability to import rules from the `arules` package, operate on them to compute closures, recommendations or to remove redundancies, or to export an implication set as a `rules` object.

## Importing rules as an implication set

Let us suppose that we have extracted implications from the `Mushroom` dataset using the `apriori()` function:

    mushroom_rules <- apriori(Mushroom, parameter = list(conf = 1))
    #> Apriori
    #>
    #> Parameter specification:
    #>  confidence minval smax arem  aval originalSupport maxtime support minlen
    #>           1    0.1    1 none FALSE            TRUE       5     0.1      1
    #>  maxlen target   ext
    #>      10  rules FALSE
    #>
    #> Algorithmic control:
    #>  filter tree heap memopt load sort verbose
    #>     0.1 TRUE TRUE  FALSE TRUE    2    TRUE
    #>
    #> Absolute minimum support count: 812
    #>
    #> set item appearances ...[0 item(s)] done [0.00s].
    #> set transactions ...[114 item(s), 8124 transaction(s)] done [0.01s].
    #> sorting and recoding items ... [53 item(s)] done [0.00s].
    #> creating transaction tree ... done [0.01s].
    #> checking subsets of size 1 2 3 4 5 6 7 8 9 10
    #> Warning in apriori(Mushroom, parameter = list(conf = 1)): Mining stopped (maxlen
    #> reached). Only patterns up to a length of 10 returned!
    #>  done [3.77s].
    #> writing ... [1799427 rule(s)] done [0.33s].
    #> creating S4 object  ... done [1.06s].

Once we have created the `fc` object storing the `Mushroom` dataset, we simply add the implications to it as:

    fc$implications$add(mushroom_rules)

And we can use all the functionalities for the `ImplicationSet` class.

## Exporting ImplicationSets to rules format

If we want to export the implications extracted for a binary formal context, we can use:

    fc_planets$find_implications()
    fc_planets$implications$to_arules(quality = TRUE)
    #> set of 10 rules

# Final considerations

An example of use may be to extract rules in the `arules` package by using `apriori()` or `eclat()`, then importing everything into `fcaR` as described above, and use the functionalities to simplify, remove redundancies, compute closures, etc., as needed, and then re-export back to `arules`.