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This paper is a brief review and development of a part 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;  internet.

Sub-Interval Analysis and Possibilities of Its Use