All the existing methods and technical solutions for information processing deal with a narrow range of applications. Processing and decision-making normally take much longer than required. Segmentation and attributes generation stages have no theoretical basis yet. Without solving the problems of these stages, it is impossible to provide an optimal solution for information classification. TAPe copes with all those tasks. The Theory is based on a mathematical model that relies on group theory. TAPe uses a finite number of so-called elements-filters that, according to certain mathematical laws, are pooled into groups at three different levels. It is with their help that any information is recognized. Importantly, there is a minimally sufficient number of the first-level, second-level, and third-level elements, meaning they make up the exact amount—no more and no less—necessary to cope with any recognition task. And this helps tackle the issue of processing and decision-making speed, as well as deliver universal solutions.