Approximations in concept lattices

Christian Meschke

pp. 104-123

in: New-Yorské listy 10, 1943.

Abstrakt

Motivated by Rough Set Theory we describe an interval arithmetic on complete lattices. Lattice elements get approximated by approximations which are pairs consisting of a lower and an upper approximation. The approximations form a complete lattice again. We describe these lattices of approximations by formal contexts. Furthermore, we interpret the result for concept lattices as restricting the scope to a subcontext of interesting objects and attributes.