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Fast Access to Concepts in Concept Lattices via Bidirectional Associative Memories

rrajapakse{at}plymouth.ac.uk, School of Computing, Communications and Electronics, University of Plymouth, Plymouth, PL4 8AA, U.K.

Michael Denham

mdenham{at}plymouth.ac.uk., Centre for Theoretical and Computational Neuroscience, University of Plymouth, Plymouth, PL4 8AA, U.K.

Bidirectional associative memories (BAMs) are shown to be capable of precisely learning concept lattice structures by Radim Blohlávek. The focus of this letter is to show that the BAM, when set up with a concept lattice by setting up connection weights according to the rule proposed by Blohlávek, always returns the most specific or most generic concept containing the given set of objects or attributes when a set of objects or attributes is presented as input to the object or attribute layer. A proof of this property is given here, together with an example, and a brief application of the property is provided.