Vincent Duquenne, Caroline Chabert, Améziane
Cherfouh, Jean-Maurice Delabar, Anne-Lise Doyen and Douglas
Pickering,
Structuration of Phenotypes / Genotypes through Galois
Lattices and Implications,
In Proceedings of the 2001 International Workshop on
Concept Lattice-based theory, methods and tools for
Knowledge Discovery in Databases,
Stanford University, CA, USA, July 30 2001.The Galois Lattice of a binary relation formalizes it as a concept system, dually ordered in ``extension'' / ``intension''. All implications between conjunctions of properties holding in it are summarized by a (recursive) canonical basis-all basis having the same cardinality (see [MR #87k:08009]). We report here how these tools structure phenotypes / genotypes in behavior genetics. On a generic viewpoint, both situations comprise two binary data sets that are paired through either a column or a row matching, which raises specific questions. If the data are small, as compared with data bases in bioinformatics, this illustrates how these abstract tools can unfold and better interpretations.