Formal Concept Analysis
Galois connections can be defined for lattices and for ordered
sets. We discuss a rather wide generalisation, which was introduced by
Weiqun Xia and has been reinvented under different names: Relational
Galois connections between relations. It turns out that the generalised
notion is of importance for the original one and can be utilised, e.g., for
computing Galois connections.
The present paper may be understood as an attempt to bring together
ideas of Wille 15, Xia 16, Domenach and Leclerc 3, and others and
to suggest a unifying language.
%0 Journal Article
%1 BernhardGanter_2007
%A Ganter, Bernhard
%D 2007
%K imported
%N LNAI 4390
%T Relational Galois Connections
%X Formal Concept Analysis
Galois connections can be defined for lattices and for ordered
sets. We discuss a rather wide generalisation, which was introduced by
Weiqun Xia and has been reinvented under different names: Relational
Galois connections between relations. It turns out that the generalised
notion is of importance for the original one and can be utilised, e.g., for
computing Galois connections.
The present paper may be understood as an attempt to bring together
ideas of Wille 15, Xia 16, Domenach and Leclerc 3, and others and
to suggest a unifying language.
@article{BernhardGanter_2007,
abstract = {Formal Concept Analysis
Galois connections can be defined for lattices and for ordered
sets. We discuss a rather wide generalisation, which was introduced by
Weiqun Xia and has been reinvented under different names: Relational
Galois connections between relations. It turns out that the generalised
notion is of importance for the original one and can be utilised, e.g., for
computing Galois connections.
The present paper may be understood as an attempt to bring together
ideas of Wille [15], Xia [16], Domenach and Leclerc [3], and others and
to suggest a unifying language.},
added-at = {2013-08-04T13:35:40.000+0200},
author = {Ganter, Bernhard},
biburl = {https://www.bibsonomy.org/bibtex/2246009c8f9329c2f6ee5236e39c6791a/francesco.k},
interhash = {03a1b0464331a319f3ef868bc280aa67},
intrahash = {246009c8f9329c2f6ee5236e39c6791a},
keywords = {imported},
number = {LNAI 4390},
timestamp = {2013-08-04T14:07:24.000+0200},
title = {Relational Galois Connections},
urldate = {15.07.2012},
year = 2007
}