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EN
When making choices and decisions, very seldom does the situation arise that a decision-maker very seldom bases their assessment of the options available on only one criterion. Frequently, many aspects of the available solutions are considered – both in terms of potential benefits and costs. In order to support decision makers, the Multiple-Criteria Decision Analysis (MCDA) is used for selecting the solution which is the best in several respects. There are many methods of multi-criteria decision-analysis such as AHP, ELECTRE, PROMETHEE, VIKOR or TOPSIS. In the article a modification of the last of these methods is used. With the use of TOPSIS method with interval arithmetic the analysis of the level of information society (IS) development in the European Union countries between 2005 to 2010 is performed and its results are presented.
EN
In the article the author considers and analyzes operations and functions on risk variables. She takes into account the following variables: the sum of risk variables, its product, multiplication by a constant, division, maximum, minimum and median of a sum of random variables. She receives the formulas for probability distribution and basic distribution parameters. She conducts the analysis for dependent and independent random variables. She proposes the examples of the situations in the economy and production management of risk modelled by these operations. The analysis is conducted with the way of mathematical proving. Some of the formulas presented are taken from the literature but others are the permanent results of the author.
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