OPTIMIZATION AND MATRIX CONSTRUCTIONS FOR CLASSIFICATION OF DATA
Andrei V. Kelarev, John L. Yearwood, Peter W. Vamplew, J. L. Abawajy, Morshed Chowdhury · FedUni ResearchOnline (Federation University Australia) · 2011
Max-plus alegbras and more general semirings have many useful applications and have been actively investigated. On the other hand, structural matrix rings are also well known and have been considered by many authors. The main theorem of this article completely describes all optimal ideas in the more general structural matrix semirings. Originally, our investigation of these ideals was motivated by applications in data mining for the design of multiple classification systems combining several individual classifiers.