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Fuzzy Order Statistics Based on α-Value and Some of Its Applications in Reliability
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Mahdieh Mozafari    , Mohammad Khanjari Sadegh * , Mohammad Ghasem Akbari , Gholamreza Hesamian |
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Abstract: (796 Views) |
| In this paper, fuzzy order statistics are expressed based on the concept of α-value, and some of its applications in reliability have been examined. For this purpose, if the lifetime distribution of the system components is known, some of the reliability criteria of the $i$th order statistic using the definition of a fuzzy random variable based on the α-value have been investigated. Also, if the lifetime distribution of the components is unknown or only the fuzzy observations of the lifetime of the components are available, the empirical distribution function of the fuzzy data is used to estimate the reliability based on ordinal statistics, and examples are provided to illustrate the results. |
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| Keywords: α-value, Fuzzy order statistics, Lifetime distribution, Reliability, Scale fuzzy random variable. |
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Full-Text [PDF 963 kb]
(374 Downloads)
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Type of Study: Research |
Subject:
Fuzzy Statistics
Received: 2023/06/21 | Accepted: 2024/08/31 | Published: 2024/06/4
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