MATHEMATICAL MODELS ONTOLOGY OF TECHNOLOGICAL OBJECTS FOR INDUSTRIAL ENTERPRISES. PART 1. FORMATION OF THE BASIC CONCEPTS FOR THE SUBJECT AREA

Abstract

The article substantiates the necessity of constructing ontologies of mathematical models for technological objects of industrial enterprises. For this, a survey was conducted and expert evaluations were obtained, which showed that there is currently no complete classification of existing mathematical models and corresponding ontologies in the field of industry. Experts also noted that the presence of such an ontology significantly facilitated their work in conducting research and work related to the creation of highly efficient production management systems based on models. Such models will include existing mathematical representations of technological processes, as well as methods for identifying their parameters. Based on the results of expert evaluations, Ishikawa’ diagram was constructed, which reflects the factors affecting the development of a mathematical model and is the basis for the development of an ontology. Also, to create an adequate ontology, the place of the mathematical model in the hierarchy of existing models is determined. An important stage in the design of the ontology was the classification of existing mathematical models according to selected characteristics, which included the structure of the model, its character, its object properties, the purpose of the model and mathematical dependencies. The main concepts of the models are defined, which include classic and modern varieties of models for technological processes.