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.
Formale Begriffe, Formale Begriffsanalyse, Rough Set, Approximation, Approximieren, Verbandstheorie, vollständiger Verband, Formal Concept, Formal Concept Analysis, lattice theory, complete lattice
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