Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/2976
Title: Statistical distributions and reliability functions with type-2 fuzzy parameters
Authors: Khaniyev, Tahir
Başkır, M. Bahar
Gökpınar, Fikri
Mirzayev, Farhad
17222
Keywords: type-2 fuzzy number
type-2 fuzzy parameters
(a,beta)-cuts
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.
URI: https://hdl.handle.net/20.500.11851/2976
http://www.ein.org.pl/sites/default/files/2019-02-11.pdf
https://doi.org/10.17531/ein.2019.2.11
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

Show full item record

CORE Recommender

SCOPUSTM   
Citations

6
checked on Sep 23, 2022

WEB OF SCIENCETM
Citations

8
checked on Sep 24, 2022

Page view(s)

26
checked on Dec 26, 2022

Google ScholarTM

Check

Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.