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Modelling of multivariable systems using advance fuzzy arithmetic

Fuzzy arithmetic has received little attention among researchers regarding its ability to solve real world problem. However, in recent years, fuzzy arithmetic which is based on transformation method (TM) has been used to solve many optimization problems in engineering. In this study, state space mod...

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第一著者: Wan Mohamad, Wan Munirah
フォーマット: 学位論文
言語:English
出版事項: 2019
主題:
QA Mathematics
オンライン･アクセス:http://eprints.utm.my/id/eprint/102422/1/WanMunirahPFS2019.pdf.pdf
http://eprints.utm.my/id/eprint/102422/
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spelling my.utm.1024222023-08-28T06:30:26Z http://eprints.utm.my/id/eprint/102422/ Modelling of multivariable systems using advance fuzzy arithmetic Wan Mohamad, Wan Munirah QA Mathematics Fuzzy arithmetic has received little attention among researchers regarding its ability to solve real world problem. However, in recent years, fuzzy arithmetic which is based on transformation method (TM) has been used to solve many optimization problems in engineering. In this study, state space modelling of several multivariable systems using fuzzy arithmetic based on the TM are presented. The TM is used to evaluate the state space model equations and to quantify the influence of each parameter of a given system. As a result, the value of its gain factors is calculated to allow the estimation of the relative measures of the uncertainty. A software, called, FAMOUS (Fuzzy Arithmetical Modelling of Uncertain Systems) is customized to illustrate the effectiveness of fuzzy arithmetic based on the TM. Moreover, the analytical solutions of state equations of these systems are obtained. The effectiveness of the method is shown by implementing it to the state space model of components in power plants (steam turbine and boiler) and nuclear power plants (steam generator and pressurizer). The computation time is reduced once the analytical solutions are determined for the systems. Furthermore, the influences of the uncertain parameters are obtained by simulations. 2019 Thesis NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/102422/1/WanMunirahPFS2019.pdf.pdf Wan Mohamad, Wan Munirah (2019) Modelling of multivariable systems using advance fuzzy arithmetic. PhD thesis, Universiti Teknologi Malaysia. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:145982
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Wan Mohamad, Wan Munirah
Modelling of multivariable systems using advance fuzzy arithmetic
description Fuzzy arithmetic has received little attention among researchers regarding its ability to solve real world problem. However, in recent years, fuzzy arithmetic which is based on transformation method (TM) has been used to solve many optimization problems in engineering. In this study, state space modelling of several multivariable systems using fuzzy arithmetic based on the TM are presented. The TM is used to evaluate the state space model equations and to quantify the influence of each parameter of a given system. As a result, the value of its gain factors is calculated to allow the estimation of the relative measures of the uncertainty. A software, called, FAMOUS (Fuzzy Arithmetical Modelling of Uncertain Systems) is customized to illustrate the effectiveness of fuzzy arithmetic based on the TM. Moreover, the analytical solutions of state equations of these systems are obtained. The effectiveness of the method is shown by implementing it to the state space model of components in power plants (steam turbine and boiler) and nuclear power plants (steam generator and pressurizer). The computation time is reduced once the analytical solutions are determined for the systems. Furthermore, the influences of the uncertain parameters are obtained by simulations.
format Thesis
author Wan Mohamad, Wan Munirah
author_facet Wan Mohamad, Wan Munirah
author_sort Wan Mohamad, Wan Munirah
title Modelling of multivariable systems using advance fuzzy arithmetic
title_short Modelling of multivariable systems using advance fuzzy arithmetic
title_full Modelling of multivariable systems using advance fuzzy arithmetic
title_fullStr Modelling of multivariable systems using advance fuzzy arithmetic
title_full_unstemmed Modelling of multivariable systems using advance fuzzy arithmetic
title_sort modelling of multivariable systems using advance fuzzy arithmetic
publishDate 2019
url http://eprints.utm.my/id/eprint/102422/1/WanMunirahPFS2019.pdf.pdf
http://eprints.utm.my/id/eprint/102422/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:145982
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score 13.251813

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