Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 356029, 27 pages
doi:10.1155/2010/356029
Research Article

Associative Models for Storing and Retrieving Concept Lattices

María Elena Acevedo,1 Cornelio Yáñez-Márquez,2 and Marco Antonio Acevedo1

1Department of Communications and Electronic Engineering at Superior School of Mechanical and Electrical Engineering, National Polytechnic Institute, Avenue IPN s/n, Col. Lindavista, C.P. 07738 Mexico City, Mexico
2Artificial Intelligence Laboratory, Computation Research Center, National Polytechnic Institute, Avenue Juan de Dios Bátiz s/n, C.P. 07738 Mexico City, Mexico

Received 17 March 2010; Accepted 21 June 2010

Academic Editor: Wei-Chiang Hong

Copyright © 2010 María Elena Acevedo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Alpha-beta bidirectional associative memories are implemented for storing concept lattices. We use Lindig's algorithm to construct a concept lattice of a particular context; this structure is stored into an associative memory just as a human being does, namely, associating patterns. Bidirectionality and perfect recall of Alpha-Beta associative model make it a great tool to store a concept lattice. In the learning phase, objects and attributes obtained from Lindig's algorithm are associated by Alpha-Beta bidirectional associative memory; in this phase the data is stored. In the recalling phase, the associative model allows to retrieve objects from attributes or vice versa. Our model assures the recalling of every learnt concept.