STATISTICAL DISTRIBUTIONS AND RELIABILITY FUNCTIONS WITH TYPE-2 FUZZY PARAMETERS
| dc.contributor.author | Khaniyev, Tahir | |
| dc.contributor.author | Başkır, Mükerrem Bahar | |
| dc.contributor.author | Gokpinar, Fikri | |
| dc.contributor.author | Mirzayev, Farhad | |
| dc.date.accessioned | 2025-10-18T10:05:13Z | |
| dc.date.created | 2019 | |
| dc.date.issued | 2019 | |
| dc.department | Fakülteler, Fen Fakültesi, Matematik Bölümü | |
| dc.description.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. | |
| dc.identifier.doi | 10.17531/ein.2019.2.11 | |
| dc.identifier.endpage | 274 | |
| dc.identifier.issn | 1507-2711 | |
| dc.identifier.issue | 2 | |
| dc.identifier.orcid | BASKIR, MUKERREM BAHAR/0000-0002-1107-0659 | |
| dc.identifier.scopus | 2-s2.0-85064504402 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 268 | |
| dc.identifier.uri | https://doi.org/10.17531/ein.2019.2.11 | |
| dc.identifier.uri | https://hdl.handle.net/11772/21135 | |
| dc.identifier.volume | 21 | |
| dc.identifier.wos | WOS:000462750900011 | |
| dc.identifier.wosquality | Q3 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Polish Maintenance Soc | |
| dc.relation.ispartof | Eksploatacja I Niezawodnosc-Maintenance and Reliability | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | WoS_20251016 | |
| dc.subject | Type-2 Fuzzy Number | |
| dc.subject | Type-2 Fuzzy Parameters | |
| dc.subject | (A,Beta)-Cuts | |
| dc.subject | Fuzzy Probability Distribution | |
| dc.subject | Fuzzy Reliability Function | |
| dc.title | STATISTICAL DISTRIBUTIONS AND RELIABILITY FUNCTIONS WITH TYPE-2 FUZZY PARAMETERS | |
| dc.type | Article | |
| dspace.entity.type | Publication |
