Journal of Formalized Mathematics
Volume 10, 1998
University of Bialystok
Copyright (c) 1998
Association of Mizar Users
Introduction to Concept Lattices
-
Christoph Schwarzweller
-
University of T\"ubingen
Summary.
-
In this paper we give Mizar formalization of concept lattices. Concept
lattices stem from the so-called formal concept analysis - a part of
applied mathematics that brings mathematical methods into the field of
data analysis and knowledge processing. Our approach follows the one given
in [8].
The terminology and notation used in this paper have been
introduced in the following articles
[11]
[6]
[14]
[12]
[15]
[4]
[3]
[17]
[16]
[5]
[13]
[9]
[7]
[1]
[10]
[2]
-
Formal Contexts
-
Derivation Operators
-
Formal Concepts
-
Concept Lattices
Bibliography
- [1]
Grzegorz Bancerek.
Complete lattices.
Journal of Formalized Mathematics,
4, 1992.
- [2]
Grzegorz Bancerek.
Directed sets, nets, ideals, filters, and maps.
Journal of Formalized Mathematics,
8, 1996.
- [3]
Czeslaw Bylinski.
Binary operations.
Journal of Formalized Mathematics,
1, 1989.
- [4]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
- [5]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
- [6]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
- [7]
Czeslaw Bylinski.
Galois connections.
Journal of Formalized Mathematics,
8, 1996.
- [8]
Bernhard Ganter and Rudolf Wille.
\em Formal Concept Analysis.
Springer Verlag, Berlin, Heidelberg, New York, 1996.
(written in German).
- [9]
Adam Grabowski and Robert Milewski.
Boolean posets, posets under inclusion and products of relational structures.
Journal of Formalized Mathematics,
8, 1996.
- [10]
Beata Padlewska.
Families of sets.
Journal of Formalized Mathematics,
1, 1989.
- [11]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
- [12]
Andrzej Trybulec.
Tuples, projections and Cartesian products.
Journal of Formalized Mathematics,
1, 1989.
- [13]
Wojciech A. Trybulec.
Partially ordered sets.
Journal of Formalized Mathematics,
1, 1989.
- [14]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
- [15]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
- [16]
Edmund Woronowicz.
Relations defined on sets.
Journal of Formalized Mathematics,
1, 1989.
- [17]
Stanislaw Zukowski.
Introduction to lattice theory.
Journal of Formalized Mathematics,
1, 1989.
Received October 2, 1998
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