ABSTRACT
When we solve any problem of mathematical or logical origin we take either the deductive or inductive (combined) path and develop corresponding theories and algorithms. The choice of axiomatic or external criteria belongs to experts: the accuracy or the differential type. The inductive approach is realized in the form of multilayered perceptron-like and combinatorial algorithms. The ways to avoid a multivalued choice of decisions are called the “art of regularization.” Regularization is a very sophisticated, but interesting area of investigation. Authors are inclined to use the general algebraic approach in all the investigations. By the solution of algebraic and difference equations, the selection characteristic is investigated.
