Search academic texts

Information × Registration Number 0225U003118, (0122U001844) , R & D reports Title Development of new mathematical methods for the theory of optimal solutions popup.stage_title Застосування розроблених алгоритмів прийняття рішень. Head Nakonechnyi Oleksandr H., Доктор фізико-математичних наук Registration Date 21-05-2025 Organization Taras Shevchenko National University of Kyiv popup.description1 Development of new mathematical methods for the theory of optimal solutions. popup.description2 An important problem today is the creation of effective methods for modeling, analyzing and optimizing systems under uncertainty for both deterministic and stochastic systems. A number of important problems that describe real physical processes can be formalized by mixed variational problems with imprecisely specified data, which are used in modeling processes in mechanics, electrodynamics, and acoustics. To date, methods for group decision-making by a clear set of experts have been developed, but in practice, sometimes it is important to know not only the decisions of the entire group of experts, but also an imprecisely specified subset of experts. So, the purpose of the work is to develop new mathematical methods for the theory of optimal solutions. The main tasks of the project are: 1) development of constructive methods for evaluating solutions and right-hand sides of systems described by ordinary differential equations with imprecisely specified data; 2) construction of constructive methods for evaluating solutions and right-hand sides of partial derivative equations with incomplete data; 3) development of effective methods for constructing optimal controls and regulators in evolutionary systems with perturbations in coefficients; 4) development of methods for group decision-making by a fuzzy set of experts based on the use of algebraic operations with a fuzzy set of operands over fuzzy sets; 5) study of the structure of linearly ordered Booleans using the selector method. Product Description popup.authors Ivokhin Yevhen V. Ivokhin Dmytro Ye. Afonin Dmytro I. Vertelko Mykyta O. Hnatyshko Maksym I. Zinko Taras P. Kapustian Olena A. Korobko Tetiana V. Kudin Hryhorii I. Losieva Mariia V. Mashchenko Serhii O. Piven Denys M. Protasov Ihor V. Rets Vadуm О. Filonenko Svitlana A. Chernii Dmytro I. Shevchuk Yuliia M. popup.nrat_date 2025-05-21 Close