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Preface

Preface

Statistics is concerned with the analysis of data and estimation of probability distribution and stochastic models. Therefore the quantitative description of data is essential for statistics.

In standard statistics data are assumed to be numbers, vectors or classical functions. But in applications real data are frequently not precise numbers or vectors, but often more or less imprecise, also called fuzzy. It is important to note that this kind of uncertainty is different from errors; it is the imprecision of individual observations or measurements.

Whereas counting data can be precise, possibly biased by errors, measurement data of continuous quantities like length, time, volume, concentrations of poisons, amounts of chemicals released to the environment and others, are always not precise real numbers but connected with imprecision.


  

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