Fuzzy logical bidirectional associative memory

We introduce a bidirectional associative memory. The stable points of the memory are natu-rally interpreted as (non-sharp) concepts|the memory performs association of extents and intents of concepts. We show that this memory is stable and that the set of all stable points forms a complete lattice. We propose a learning algorithm and prove that it enables perfect learning provided the train-ing set forms a consistent conceptual structure. Examples demonstrating the results are presented. Unlike in the case of other associative memories [1], the formal apparatus, architecture, dynamics and convergence proof etc. are based on algebraic structures of fuzzy logic in narrow sense