Description Usage Arguments Details Value Author(s) References See Also Examples

View source: R/partial.order.R

Construct the partial order table of unique relations of the semigroup, or else of the concepts produced by Galois derivations.

1 | ```
partial.order(x, type = c("strings", "galois"), lbs, labels)
``` |

`x` |
an object of a ' |

`type` |
whether the object corresponds to strings of relations or Galois derivations |

`lbs` |
(optional) the labels of the unique relations |

`labels` |
same as |

To get the partial order of an entire semigroup, both generators and compound relations must be considered. This information and the labels of the unique relations are given by the `strings`

function. cf. `semigroup`

to see how the `x`

should be specified properly.

Galois derivations are now possible to be partially ordered as well, and this option is based on the output given by the `galois`

function.

An object of '`Partial.Order`

' class with the partial order table in a matrix form.

Antonio Rivero Ostoic

Pattison, P.E. *Algebraic Models for Social Networks*. Cambridge University Press. 1993.

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

`as.strings`

, `strings`

, `galois`

, `perm`

, `diagram`

, `fltr`

.

1 2 3 4 5 6 7 8 | ```
## Load the data, and obtain the partial order
data("incubA")
## the strings in the structure
st <- strings(incubA$IM)
## Get the partial order
partial.order(st)
``` |

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