Manovytska D. Mathematical models and algorithms of system optimization for solving socio-economic problems.

Dissertation work is devoted to the development of models and algorithms for system optimization for a class of multicriteria linear programming problems, focused on different ways of setting the desired target settings, with fuzzy definitions. Approaches to constructing models of target attitudes that improve the process of mathematical modeling in applied problems of system optimization are considered. In one of the approaches, a mathematical model and an algorithm for determining a comprehensive assessment of the level of efficiency of regional economic development based on the theory of fuzzy sets and mathematical statistics are proposed for further use as targets. In another approach, a mathematical model of fluctuations in the exchange rate of the Ukrainian hryvnia to the US dollar is proposed. Using the Detrended Fluctuation Analysis (DFA) method for analyzing long-range correlations in time series and the Recurrence Quantification Analysis (RQA) method of statistical and dynamic characteristics, a model of comparative exchange rate fluctuations was built for further use as targets. Ontologies, models and algorithms have been developed for decision support problems in the field of charging infrastructure for electric vehicles. The software developed in the dissertation work for solving the considered socio-economic problems was introduced by PNN SOFT LLC during the implementation of the project "Automation of functional processes of charging stations for electric vehicles" with an economic effect of 86,000 hryvnia in 2020. Key words: system optimization, multicriteria linear programming problems, fuzzy set, ontology. Publications. The main scientific results and conclusions of the dissertation are fully presented in 27 scientific papers, including 5 articles - in scientific journals of Ukraine in the specialty 01.05.02 - mathematical modeling and computational methods, including 1 article published in an international journal indexed by scientometric database Scopus, 22 abstracts in collections of scientific conferences. Structure and scope of work. The dissertation consists of an introduction, four chapters, conclusions, a list of sources used (112 titles). The total volume of the work is 164 pages, of which 135 pages are the main text.