Donchenko V. Plural approach to uncertainty description in the mathematical modelling.

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0507U000380

Thesis Registration Form

0507U000380.pdf

Applicant for

Donchenko Volodymyr Stepanovych

Specialization

01.05.02 - Математичне моделювання та обчислювальні методи

Date of defense

08-06-2007

Specialized Academic Board

Д 26.194.02

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

Essay

The purpose of the work is to develop the conception of the plural model of the uncertainty as the general approach to its description as well as the concrete methods and tools of the uncertainty description within the conception proposed. These regard: to the statistical interpretation and modification of the fuzzy subsets proposed in the work; to the mathematical theory of the Hough Transform and to proposition to usу it as a clustering tool along a hyper planes in Euclidian space and in the separable Hilbert space on the base of the pseudo inverse; to the development of the gradient optimization methods for the beam dynamics with delay and proposition to use them for to construct efficient approximation methods for the functions, represented by its observations.

Thesis supervisor

Kyrychenko Mykola Fedorovych

Official opponents

Королюк Володимир Семенович
Кнопов Павло Соломонович
Сопронюк Федір Олексійович

Files

Diss--Висновки.doc

Diss--Вступ.doc

Diss--Додатки.doc

Diss--Зміст.doc

Diss--Розділ-2.doc

Diss--Розділ-3.doc

Diss--Розділ-4.doc

Diss--Розділ-І.doc

Diss--Список джерел.doc

Diss--Титул.doc

aref.doc

Similar theses

0423U100159

Yuliya A. Senyk

Modeling and researching of size effects in electroconductive bodies

0523U100127

Kashpur Olena Fedorivna

Interpolation of operators in Hilbert and Euclidean spaces

0423U100110

Kurash Serhii Yu.

Mathematical modeling of the reaction of buildings and structures to explosive effects

0523U100103

Shevchenko Serhii Stanislavovich

Mathematical models of processes in centrifugal machines sealing systems

0523U100042

Melnyk Andriy Mykolayovych

Knowledge-driven software systems for interval analysis and modeling of complex objects