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The paper deals with the problem of the mathematical description of uncertainties of different type. It has been demonstrated by many authors that the theory of probability is not always suitable for the description of uncertainty related to vagueness. We briefly present some of the most promising theories which have been recently proposed for coping with this problem. Then, we concentrate our attention on the application of fuzzy random variables which seem to be very useful for the joint modelling of random uncertainty and fuzzy imprecision, and for the statistical analysis of imprecise data. The application of the statistical methodology for fuzzy data, called fuzzy statistics, is illustrated with a practical example, typical for the problems of making decisions using small amount of available data.
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Projects co-financed by:
Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.
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