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Title: Statistical distributions and reliability functions with type-2 fuzzy parameters
Authors: Khaniyev, Tahir
Başkır, M. Bahar
Gökpınar, Fikri
Mirzayev, Farhad
Keywords: type-2 fuzzy number
type-2 fuzzy parameters
fuzzy probability distribution
fuzzy reliability function
Issue Date: 2019
Publisher: Polish Academy of Sciences Branch Lublin
Source: KhAniyev, T., BAsKir, M. B., GoKpinAr, F., & MirzAyev, F. (2019). StatiStical diStributionS and reliability functionS with type-2 fuzzy parameterS rozk?ady StatyStyczne i funkcje niezawodno?ci o parametrach rozmytych typu-2. EKSPLOATACJA I NIEZAWODNOSC, 21(2), 268.
Abstract: Type-2 fuzzy sets were initially given by Zadeh as an extension of type-1 fuzzy sets. There is a gnawing interest in type-2 fuzzy set and its memberships (named secondary memberships) to handle the uncertainty in type-1 fuzzy set and its primary membership values. However; arithmetical operators on type-2 fuzzy sets have computational complexity due to third dimension of these sets. In this study, we present some mathematical operators which can be easily applied to type-2 fuzzy sets and numbers. Also, mathematical functions of type-2 fuzzy numbers are given according to their monotonicity These functions are adapted to reliability and distribution functions of the random variables with the type-2 fuzzy parameters. These functions are applied to Exponential, Chi-square, Weibull distributions with respect to monotonicity of the parameters of these distributions.
ISSN: 1507-2711
Appears in Collections:Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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