Approximations in concept lattices

Christian Meschke

pp. 104-123

in: Lonard Kwuida, Bar Sertkaya (eds), Formal concept analysis, Berlin, Springer, 2010

Abstract

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.