Representation of data contexts and their concept lattices in general geometric spaces

Authors:
Tim B. Kaiser
Affiliations:
Darmstadt University of Technology, Darmstadt, Germany
Venue:
ICCS'05 Proceedings of the 13th international conference on Conceptual Structures: common Semantics for Sharing Knowledge
Year:
2005

Citing 2
Cited 2

The role of synthetic geometry in representational measurement theory

Journal of Mathematical Psychology
Formal Concept Analysis: Mathematical Foundations

Formal Concept Analysis: Mathematical Foundations

Closure systems of equivalence relations and their labeled class geometries

CLA'06 Proceedings of the 4th international conference on Concept lattices and their applications
On the connection between many-valued contexts and general geometric structures

Annals of Mathematics and Artificial Intelligence

Quantified Score

Hi-index	0.00

Visualization

Abstract

We present a possibility for coordinatizing many-valued contexts and their concept lattices, i.e. we investigate when an algebra (in the sense of universal algebra) can be assigned to the object set of a many-valued context such that the extents can be described by the congruence classes of the algebra. Since congruence class spaces have a natural geometric nature the outlined approach can be interpreted as a geometric representation of concept lattices.