Length and order of fuzzy autocatalytic set of a pressurized water reactor

The pressurized water reactor (PWR) is one type of nuclear power plant that generates electricity using heat from nuclear reactions which use steam produced from heated water to spin large turbines that generate electricity. The PWR contains two systems namely primary and secondary systems. The seco...

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Main Author:	Mahamud, Zainab
Format:	Thesis
Language:	English
Published:	2019
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/102232/1/ZainabMahamudMFS2019.pdf.pdf
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id	my-utm-ep.102232
record_format	uketd_dc
spelling	my-utm-ep.1022322023-08-13T06:08:36Z Length and order of fuzzy autocatalytic set of a pressurized water reactor 2019 Mahamud, Zainab QA Mathematics The pressurized water reactor (PWR) is one type of nuclear power plant that generates electricity using heat from nuclear reactions which use steam produced from heated water to spin large turbines that generate electricity. The PWR contains two systems namely primary and secondary systems. The secondary system of a PWR in a previous study cannot give information regarding the catalytic interaction and relation amongst each and every parameter in the system and unable to present all the possible catalytic reactions between the variables in the system. In this research, several structures of Fuzzy Graph Type-3 of Fuzzy Autocatalytic Set (FACS) of a secondary system of a PWR, namely possible paths, fuzzy edge connectivity, length, detour distance, order, and size are explored. Omega algebra is used to determine all the possible paths for a FACS with respect to its fuzzy edge connectivity, length, and detour distance. An algorithm is developed and coded to find all the possible paths of the PWR. Furthermore, the algorithm is extended to obtain more characteristics of the FACS system. A sample data from a secondary system of a PWR is then applied to the algorithm to obtain a total of 317 possible cycle paths and 243 possible non-cycle paths at a maximum length of five. In addition, based on the patterns of non-cycle paths of FACS graphs, new characteristics of FACS are obtained and proven in the form of lemma, theorem and corollaries. In summary, the finding in this study can be used to characterize FACS of a PWR as well as other applications. 2019 Thesis http://eprints.utm.my/id/eprint/102232/ http://eprints.utm.my/id/eprint/102232/1/ZainabMahamudMFS2019.pdf.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:146241 masters Universiti Teknologi Malaysia Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Mahamud, Zainab Length and order of fuzzy autocatalytic set of a pressurized water reactor
description	The pressurized water reactor (PWR) is one type of nuclear power plant that generates electricity using heat from nuclear reactions which use steam produced from heated water to spin large turbines that generate electricity. The PWR contains two systems namely primary and secondary systems. The secondary system of a PWR in a previous study cannot give information regarding the catalytic interaction and relation amongst each and every parameter in the system and unable to present all the possible catalytic reactions between the variables in the system. In this research, several structures of Fuzzy Graph Type-3 of Fuzzy Autocatalytic Set (FACS) of a secondary system of a PWR, namely possible paths, fuzzy edge connectivity, length, detour distance, order, and size are explored. Omega algebra is used to determine all the possible paths for a FACS with respect to its fuzzy edge connectivity, length, and detour distance. An algorithm is developed and coded to find all the possible paths of the PWR. Furthermore, the algorithm is extended to obtain more characteristics of the FACS system. A sample data from a secondary system of a PWR is then applied to the algorithm to obtain a total of 317 possible cycle paths and 243 possible non-cycle paths at a maximum length of five. In addition, based on the patterns of non-cycle paths of FACS graphs, new characteristics of FACS are obtained and proven in the form of lemma, theorem and corollaries. In summary, the finding in this study can be used to characterize FACS of a PWR as well as other applications.
format	Thesis
qualification_level	Master's degree
author	Mahamud, Zainab
author_facet	Mahamud, Zainab
author_sort	Mahamud, Zainab
title	Length and order of fuzzy autocatalytic set of a pressurized water reactor
title_short	Length and order of fuzzy autocatalytic set of a pressurized water reactor
title_full	Length and order of fuzzy autocatalytic set of a pressurized water reactor
title_fullStr	Length and order of fuzzy autocatalytic set of a pressurized water reactor
title_full_unstemmed	Length and order of fuzzy autocatalytic set of a pressurized water reactor
title_sort	length and order of fuzzy autocatalytic set of a pressurized water reactor
granting_institution	Universiti Teknologi Malaysia
granting_department	Faculty of Science
publishDate	2019
url	http://eprints.utm.my/id/eprint/102232/1/ZainabMahamudMFS2019.pdf.pdf
_version_	1776100874764943360

Length and order of fuzzy autocatalytic set of a pressurized water reactor

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