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


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Urenda J. C., Kosheleva O., Shahbazova Ş., Kreinovich V.

Acta Polytechnica Hungarica, vol.19, no.10, pp.49-60, 2022 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 19 Say: 10
  • Nəşr tarixi: 2022
  • Doi nömrəsi: 10.12700/aph.19.10.2022.10.4
  • jurnalın adı: Acta Polytechnica Hungarica
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.49-60
  • Açar sözlər: Central Limit Theorem, fuzzy logic, uncertainty
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

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.