# FUZZY INFORMATION AND STOCHASTICS

Document Type : Research Paper

Authors

Department of Statistics and Probability Theory, Vienna University of Technology, Wien, Austria

Abstract

In applications there occur different forms of uncertainty. The two
most important types are randomness (stochastic variability) and imprecision
(fuzziness). In modelling, the dominating concept to describe uncertainty is
using stochastic models which are based on probability. However, fuzziness
is not stochastic in nature and therefore it is not considered in probabilistic
models.
Since many years the description and analysis of fuzziness is subject of intensive
research. These research activities do not only deal with the fuzziness of
observed data, but also with imprecision of informations. Especially methods
of standard statistical analysis were generalized to the situation of fuzzy observations.
The present paper contains an overview about of the presentation
of fuzzy information and the generalization of some basic classical statistical
concepts to the situation of fuzzy data.

Keywords

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