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Parameter Interval Estimation of System Reliability for Repairable Multistate Series-Parallel System with Fuzzy Data
The purpose of this paper is to create an interval estimation of the fuzzy system reliability for the repairable multistate series–parallel system (RMSS). Two-sided fuzzy confidence interval for the fuzzy system reliability is constructed. The performance of fuzzy confidence interval is considered b...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2014
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4055612/ https://www.ncbi.nlm.nih.gov/pubmed/24987728 http://dx.doi.org/10.1155/2014/275374 |
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author | Bamrungsetthapong, Wimonmas Pongpullponsak, Adisak |
author_facet | Bamrungsetthapong, Wimonmas Pongpullponsak, Adisak |
author_sort | Bamrungsetthapong, Wimonmas |
collection | PubMed |
description | The purpose of this paper is to create an interval estimation of the fuzzy system reliability for the repairable multistate series–parallel system (RMSS). Two-sided fuzzy confidence interval for the fuzzy system reliability is constructed. The performance of fuzzy confidence interval is considered based on the coverage probability and the expected length. In order to obtain the fuzzy system reliability, the fuzzy sets theory is applied to the system reliability problem when dealing with uncertainties in the RMSS. The fuzzy number with a triangular membership function is used for constructing the fuzzy failure rate and the fuzzy repair rate in the fuzzy reliability for the RMSS. The result shows that the good interval estimator for the fuzzy confidence interval is the obtained coverage probabilities the expected confidence coefficient with the narrowest expected length. The model presented herein is an effective estimation method when the sample size is n ≥ 100. In addition, the optimal α-cut for the narrowest lower expected length and the narrowest upper expected length are considered. |
format | Online Article Text |
id | pubmed-4055612 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
spelling | pubmed-40556122014-07-01 Parameter Interval Estimation of System Reliability for Repairable Multistate Series-Parallel System with Fuzzy Data Bamrungsetthapong, Wimonmas Pongpullponsak, Adisak ScientificWorldJournal Research Article The purpose of this paper is to create an interval estimation of the fuzzy system reliability for the repairable multistate series–parallel system (RMSS). Two-sided fuzzy confidence interval for the fuzzy system reliability is constructed. The performance of fuzzy confidence interval is considered based on the coverage probability and the expected length. In order to obtain the fuzzy system reliability, the fuzzy sets theory is applied to the system reliability problem when dealing with uncertainties in the RMSS. The fuzzy number with a triangular membership function is used for constructing the fuzzy failure rate and the fuzzy repair rate in the fuzzy reliability for the RMSS. The result shows that the good interval estimator for the fuzzy confidence interval is the obtained coverage probabilities the expected confidence coefficient with the narrowest expected length. The model presented herein is an effective estimation method when the sample size is n ≥ 100. In addition, the optimal α-cut for the narrowest lower expected length and the narrowest upper expected length are considered. Hindawi Publishing Corporation 2014 2014-05-22 /pmc/articles/PMC4055612/ /pubmed/24987728 http://dx.doi.org/10.1155/2014/275374 Text en Copyright © 2014 W. Bamrungsetthapong and A. Pongpullponsak. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Research Article Bamrungsetthapong, Wimonmas Pongpullponsak, Adisak Parameter Interval Estimation of System Reliability for Repairable Multistate Series-Parallel System with Fuzzy Data |
title | Parameter Interval Estimation of System Reliability for Repairable Multistate Series-Parallel System with Fuzzy Data |
title_full | Parameter Interval Estimation of System Reliability for Repairable Multistate Series-Parallel System with Fuzzy Data |
title_fullStr | Parameter Interval Estimation of System Reliability for Repairable Multistate Series-Parallel System with Fuzzy Data |
title_full_unstemmed | Parameter Interval Estimation of System Reliability for Repairable Multistate Series-Parallel System with Fuzzy Data |
title_short | Parameter Interval Estimation of System Reliability for Repairable Multistate Series-Parallel System with Fuzzy Data |
title_sort | parameter interval estimation of system reliability for repairable multistate series-parallel system with fuzzy data |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4055612/ https://www.ncbi.nlm.nih.gov/pubmed/24987728 http://dx.doi.org/10.1155/2014/275374 |
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