Concept Approximations
type: CreativeWork
description: In this thesis, we present a lattice theoretical approach to the field of approximations. Given a pair consisting of a kernel system and a closure system on an underlying lattice, one receives a lattice of approximations. We describe the theory of these lattices of approximations. Furthermore, we put a special focus on the case of concept lattices. As it turns out, approximation of formal concepts can be interpreted as traces, which are preconcepts in a subcontext.
abstract: In this thesis, we present a lattice theoretical approach to the field of approximations. Given a pair consisting of a kernel system and a closure system on an underlying lattice, one receives a lattice of approximations. We describe the theory of these lattices of approximations. Furthermore, we put a special focus on the case of concept lattices. As it turns out, approximation of formal concepts can be interpreted as traces, which are preconcepts in a subcontext.
author: Meschke, Christian
keywords: Formale Begriffe, Formale Begriffsanalyse, Rough Set, Approximation, Approximieren, Verbandstheorie, vollständiger Verband, Formal Concept, Formal Concept Analysis, lattice theory, complete lattice
date published: 2012-04-13
date modified: 2026-07-24T03:59:09Z
provider: QUCOSA
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: Technische Universität Dresden