Fuzzy Improved Distribution Function and Order Statistics
| dc.contributor.author | Bayramoğlu, İsmihan | |
| dc.date.accessioned | 2023-06-16T12:59:02Z | |
| dc.date.available | 2023-06-16T12:59:02Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | A new concept of fuzzy improved distribution function based on fuzzy ordering defined on the support set of a given random variable is introduced. A fuzzy improved random variable based on this distribution function is defined. The existence of such a fuzzy improved random variable follows from probability integral transformation. The order statistics based on the fuzzy ordering and fuzzy improved distribution function are considered and their distributions are studied. The need for fuzzy improved order statistics arises in reliability analysis of sensitive systems where the lifetimes of the components and the system are considered by taking into account some degree of smallness defined by membership function of a fuzzy set. Examples and graphical representations of fuzzy improved distribution functions are provided.(C) 2022 Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.cam.2022.114266 | |
| dc.identifier.issn | 0377-0427 | |
| dc.identifier.issn | 1879-1778 | |
| dc.identifier.scopus | 2-s2.0-85126949467 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cam.2022.114266 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1112 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Journal of Computatıonal And Applıed Mathematıcs | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Order statistics | en_US |
| dc.subject | Distribution function | en_US |
| dc.subject | Fuzzy sets | en_US |
| dc.subject | Membership function | en_US |
| dc.subject | Reliability | en_US |
| dc.title | Fuzzy Improved Distribution Function and Order Statistics | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Bayramoglu, Ismihan/0000-0002-8575-8405 | |
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| gdc.author.wosid | Bayramoglu, Ismihan/E-7721-2018 | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Bayramoglu, Ismihan] Izmir Univ Econ, Dept Math, Izmir, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 411 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W4221071362 | |
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| gdc.oaire.keywords | fuzzy sets | |
| gdc.oaire.keywords | Fuzzy analysis in statistics | |
| gdc.oaire.keywords | reliability | |
| gdc.oaire.keywords | order statistics | |
| gdc.oaire.keywords | membership function | |
| gdc.oaire.keywords | Order statistics; empirical distribution functions | |
| gdc.oaire.keywords | distribution function | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.virtual.author | Bayramoğlu, İsmihan | |
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