Representation of Concept Lattices by Bidirectional Associative Memories

Authors:
Radim Bělohlávek
Affiliations:
Institute for Research and Application of Fuzzy Modeling, University of Ostrava, Ostrava, Czech Republic
Venue:
Neural Computation
Year:
2000

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Abstract

This article presents a concept interpretation of patterns for bidirectional associative memory (BAM) and a representation of hierarchical structures of concepts (concept lattices) by BAMs. The constructive representation theorem provides a storing rule for a training set that allows a concept interpretation. Examples demonstrating the theorems are presented.