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(2010) Formal concept analysis, Dordrecht, Springer.
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.
Publication details
DOI: 10.1007/978-3-642-11928-6_8
Full citation:
Meschke, C. (2010)., Approximations in concept lattices, in L. Kwuida & B. Sertkaya (eds.), Formal concept analysis, Dordrecht, Springer, pp. 104-123.
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