AddIntent: A New Incremental Algorithm for Constructing Concept Lattices

An incremental concept lattice construction algorithm, called AddIntent, is proposed. In experimental comparison, AddIntent outperformed a selection of other published algorithms for most types of contexts and was close to the most efficient algorithm in other cases. The current best estimate for the algorithm’s upper bound complexity to construct a concept lattice L whose context has a set of objects G, each of which possesses at most max(|g′|) attributes, is O(|L||G|2 max(|g′|)).