Суб-интервальный анализ и возможности его применения

The article represents a brief review and development of the plenary report in the Moscow Institute of Physics and Technology. Three existing tools of sub-interval analysis (sub-interval arithmetic, incomplete data analysis and images) are reviewed and elements of two new tools (sub-interval calculus and layerwise analysis) are presented. The sub-interval analysis may be used, e.g., in economics: microeconomics, macroeconomics, accounting, econometrics, utility theory; the Internet, statistics, Fourier analysis.