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On Some Reliability Concepts in Fuzzy Environment
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Mahdieh Mozafari    , Mohammad Khanjari Sadegh * , Gholamreza Hesamian |
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Abstract: (1111 Views) |
In this paper, some reliability concepts have been investigated based on the α-pessimistic and its relationship with the α-cut of a fuzzy number. For this purpose, if the lifetime distribution of the system components is known, using the definition of the scale fuzzy random variable, based on α-pessimistic, some reliability criteria have been investigated. Also, suppose the lifetime distribution of the components is unknown or only the fuzzy observations of the lifetime of the features are available. In that case, the empirical distribution function of the fuzzy data is used to estimate the reliability, and some examples are provided to illustrate the results.
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| Keywords: α-pessimistic, Failure rate, Fuzzy random variable, Fuzzy-scale random variable, Survival function. |
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Full-Text [PDF 847 kb]
(1069 Downloads)
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Type of Study: Research |
Subject:
Fuzzy Statistics
Received: 2022/06/19 | Accepted: 2022/11/29 | Published: 2023/07/11
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