Journal
ACTA POLYTECHNICA HUNGARICA
Volume 19, Issue 10, Pages 49-60Publisher
BUDAPEST TECH
Keywords
fuzzy logic; Central Limit Theorem; uncertainty
Categories
Funding
- National Science Foundation [1623190]
- AT&T Fellowship in Information Technology
- program of the development of the Scientific-Educational Mathematical Center of Volga Federal District [HRD-2034030]
- [075-02-2020-1478]
- [HRD-1834620]
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According to the research findings, in both deterministic and fuzzy cases of data processing, the distribution of uncertainty exhibits characteristics of a Gaussian distribution.
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.
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