Internet security applications of GröBner-Shirshov bases

This article is motivated by internet security applications of multiple classifiers designed for the detection of malware. Following a standard approach in data mining, Dazeley et al. (Asian-European J. Math. 2 (2009)(1) 4156) used Gröbner-Shirshov bases to define a family of multiple classifiers and develop an algorithm optimizing their properties. The present article complements and strengthens these results. We consider a broader construction of classifiers and develop a new and more general algorithm for the optimization of their essential properties. © 2010 World Scientific Publishing Company.