What Is the Uncertainty of the Result of Data Processing: Fuzzy Analogue of the Central Limit Theorem

It is known that, due to the Central Limit Theorem, the probability distribution of the uncertainty of the result of data processing is, in general, close to Gaussian - or to a distribution from a somewhat more general class known as infinitely divisible. We show that a similar result holds in the fuzzy case: namely, the membership function describing the uncertainty of the result of data processing is, in general, close to Gaussian - or to a membership function from an explicitly described more general class.

Automated summary

According to the research findings, in both deterministic and fuzzy cases of data processing, the distribution of uncertainty exhibits characteristics of a Gaussian distribution.