Pattern Recognition: Theoretical Research Experience and Applications

The article offers a brief overview of the main theoretical and practical results obtained by its authors and their scientific followers. The results concern mainly the deterministic theory of pattern recognition. In particular, the main results on the logical and algebraic correction of heuristic algorithms are presented. Possible directions for the development of recognition algorithms based on inductive inference, similarity, and precedence metrics are also proposed. The practical part deals with some of the decision-making tasks in areas such as medical diagnostics and various technical areas. The nature of the review and value judgments is based on the experience of the authors.