multiplex (version 2.3)

galois: Galois derivations between subsets

Description

Function to perform Galois derivations between partially ordered subsets

Usage

galois(x, labeling = c("full", "reduced"))

Arguments

x

a data frame with objects and attributes

labeling

whether the derivations should be with full or reduced labeling

Value

A labelled list with Galois derivations of objects and attributes

Details

Galois derivations (or connections) are mappings between families of partially ordered subsets of elements. Such derivations are useful to analyse the structure of both subsets, whichin a social network are typically the actors and their corresponding affiliations or events, i.e. two-mode networks, or else a group of objects with a list of different attributes used in formal concept analysis.

References

Ganter, B. and R. Wille Formal Concept Analysis -- Mathematical Foundations. Springer. 1996.

See Also

partial.order, diagram, fltr.

Examples

## Create a data frame
dfr <- data.frame(x=1:3, y=5:7)

## Find Galois derivations
galois(dfr)