The paper discusses methods of forming special models for the representation of various sets of knowledge in various information systems. The work is devoted to the application of distributive semantics in the identification of significant combinations in one subject area (PRO) within the framework of the formalization of linguistic expert information (LEI). The paper applies an approach to the formalization of LEI based on a set of analytical methods, where linear algebra is used as models. This approach makes it possible to initialize the procedure for the automatic formation of hierarchical architectures of LEI or dendrograms when identifying significant combinations of titles of several collections of texts. The scientific novelty lies in the proposed analytical approach using distributive semantics in identifying significant combinations of titles of several collections of texts, which allows for the analysis and processing of linguistic expert information. A distinctive characteristic of the proposed approach is the ability to formalize the ABM "Global Optimization Methods" based on the synthesis of various already existing hierarchies of the ABM under consideration. The paper aims to create conditions for the formalization of the LEI by applying distributive semantics when identifying significant combinations of titles of several collections. The practical value of the work lies in the development of a new approach to the formalization of LEI, taking into account distributive semantics when identifying significant combinations of titles of several collections of texts. The ontology in owl format "Methods of global optimization" in the program "Protege" is also built in the work. The ontology is built on the basis of related data about. The ontology constructed in this work complements the search structure within the framework of the considered PRO and can be supplemented and developed in the future.
