In this paper, we propose to consider various models of pattern recognition. At the same time, it is proposed to consider models in the form of two operators: a recognizing operator and a decision rule. Algebraic operations are introduced on recognizing operators, and based on the application of these operators, a family of recognizing algorithms is created. An upper estimate is constructed for the model, which guarantees the completeness of the extension.

翻译：本文提出考虑多种模式识别模型。同时，建议将模型视为两个算子：识别算子和决策规则。在识别算子上引入代数运算，基于这些算子的应用，构建了一类识别算法族。针对该模型构造了一个上界估计，该估计保证了扩展的完备性。