Estimation of the fuzzy reliability function for distribution data (Topp-Leone ) using the median value as a fuzzy factor

      Fuzzy reliability in statistics is one of the important methods used in various aspects of life that are used in the event of questionable data accuracy, which leads to dealing with ambiguous observations expressed in ambiguous numbers. The use of classical estimation methods to estimate the...

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Main Authors: Osama Abdulazeez Kadhim Al-Quraishi*, Sama Saadi Ali Alhashimi
Format: Article
Language:Arabic
Published: college of Administration and Economics ALIraqia university 2025-06-01
Series:مجلة الدراسات الاقتصادية والادارية
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Online Access:https://easj.aliraqia.edu.iq/index.php/easj/article/view/168
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author Osama Abdulazeez Kadhim Al-Quraishi*
Sama Saadi Ali Alhashimi
author_facet Osama Abdulazeez Kadhim Al-Quraishi*
Sama Saadi Ali Alhashimi
author_sort Osama Abdulazeez Kadhim Al-Quraishi*
collection DOAJ
description       Fuzzy reliability in statistics is one of the important methods used in various aspects of life that are used in the event of questionable data accuracy, which leads to dealing with ambiguous observations expressed in ambiguous numbers. The use of classical estimation methods to estimate the parameters of the statistical model is not suitable for such observations, and the research problem is represented by the presence of fuzzy numbers known as the operating times of the magnetic resonance device until failure at Al-Rifai Hospital. The research aims to estimate the fuzzy reliability function for the first type of censored data for the Top Lion distribution of the magnetic resonance device at Al-Rifai Hospital for the period (1-3-2022, until 1-3-2024) through some estimation methods maximum likelihood function, partial estimates, Proposed method for estimating the frequency rate and choosing the best reliability based on the least Std. Deviation, and it was found that the fuzzy reliability of the sonar device is (79%) for every (42) days
format Article
id doaj-art-c63bfff822e64a4090987956fe5ac836
institution DOAJ
issn 2790-2560
3005-3625
language Arabic
publishDate 2025-06-01
publisher college of Administration and Economics ALIraqia university
record_format Article
series مجلة الدراسات الاقتصادية والادارية
spelling doaj-art-c63bfff822e64a4090987956fe5ac8362025-08-20T03:22:57Zaracollege of Administration and Economics ALIraqia universityمجلة الدراسات الاقتصادية والادارية2790-25603005-36252025-06-012410.58564/EASJ/4.2.2025.15Estimation of the fuzzy reliability function for distribution data (Topp-Leone ) using the median value as a fuzzy factorOsama Abdulazeez Kadhim Al-Quraishi*0Sama Saadi Ali Alhashimi1Ministry of Education IraqRusafa Management Institute, Baghdad       Fuzzy reliability in statistics is one of the important methods used in various aspects of life that are used in the event of questionable data accuracy, which leads to dealing with ambiguous observations expressed in ambiguous numbers. The use of classical estimation methods to estimate the parameters of the statistical model is not suitable for such observations, and the research problem is represented by the presence of fuzzy numbers known as the operating times of the magnetic resonance device until failure at Al-Rifai Hospital. The research aims to estimate the fuzzy reliability function for the first type of censored data for the Top Lion distribution of the magnetic resonance device at Al-Rifai Hospital for the period (1-3-2022, until 1-3-2024) through some estimation methods maximum likelihood function, partial estimates, Proposed method for estimating the frequency rate and choosing the best reliability based on the least Std. Deviation, and it was found that the fuzzy reliability of the sonar device is (79%) for every (42) days https://easj.aliraqia.edu.iq/index.php/easj/article/view/168Fuzzy reliability , Topp - Leone distribution , frequency ratio , censored data type
spellingShingle Osama Abdulazeez Kadhim Al-Quraishi*
Sama Saadi Ali Alhashimi
Estimation of the fuzzy reliability function for distribution data (Topp-Leone ) using the median value as a fuzzy factor
مجلة الدراسات الاقتصادية والادارية
Fuzzy reliability , Topp - Leone distribution , frequency ratio , censored data type
title Estimation of the fuzzy reliability function for distribution data (Topp-Leone ) using the median value as a fuzzy factor
title_full Estimation of the fuzzy reliability function for distribution data (Topp-Leone ) using the median value as a fuzzy factor
title_fullStr Estimation of the fuzzy reliability function for distribution data (Topp-Leone ) using the median value as a fuzzy factor
title_full_unstemmed Estimation of the fuzzy reliability function for distribution data (Topp-Leone ) using the median value as a fuzzy factor
title_short Estimation of the fuzzy reliability function for distribution data (Topp-Leone ) using the median value as a fuzzy factor
title_sort estimation of the fuzzy reliability function for distribution data topp leone using the median value as a fuzzy factor
topic Fuzzy reliability , Topp - Leone distribution , frequency ratio , censored data type
url https://easj.aliraqia.edu.iq/index.php/easj/article/view/168
work_keys_str_mv AT osamaabdulazeezkadhimalquraishi estimationofthefuzzyreliabilityfunctionfordistributiondatatoppleoneusingthemedianvalueasafuzzyfactor
AT samasaadialialhashimi estimationofthefuzzyreliabilityfunctionfordistributiondatatoppleoneusingthemedianvalueasafuzzyfactor