Lebid' O. Methods and algorithms of solving some fuzzy problems of optimal sets splitting

The object are continuing problem of optimal set splitting in an uncertain environment. Purpose - to develop and study methods for solving continuous optimal fuzzy splitting of -measurable subset of Euclidean space with a fixed position the centers of these subsets, creating algorithms and software implementation. The methods: nondifferentiable optimization, fuzzy mathematical programming, the methods of the infinite mathematical programming, integrated use of fuzzy set theory, methods for solving linear continuous optimal set splitting, functional analysis. The results: first formulated new mathematical model of continuous optimal fuzzy set splitting on subset with a fixed position the centers of these subsets, theoretically sound new method for solving the fuzzy of the optimal splitting set that uses the membership function of the analytical form, the first time theoretically sound method for solving the problem of optimal set splitting with interval right-hand sides, which are defined in the system of restrictions, were developed and theoretically justified by new methods of solving optimal set splitting with fuzzy parameters in the target or the functional limitations, first applied the theory of continuous problems of optimal set splitting to meet the challenges of forecasting using neuro-fuzzy technologies, and also to the solution of problems of identification systems with radial networks. Scope - the learning process, data analysis.