Distance-based ranking of fuzzy numbers / Ahmad Syafadhli Abu Bakar

Ranking fuzzy numbers is one of the crucial areas of research in fuzzy set theory. Essentially, each presented ranking method is targeting on producing appropriate ranking order for a set of all types of fuzzy numbers including in ranking combinations of more than two fuzzy numbers properly. However...

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Main Author:	Abu Bakar, Ahmad Syafadhli
Format:	Thesis
Language:	English
Published:	2012
Subjects:	Fuzzy arithmetic Fuzzy logic
Online Access:	https://ir.uitm.edu.my/id/eprint/39485/1/39485.pdf
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id	my-uitm-ir.39485
record_format	uketd_dc
spelling	my-uitm-ir.394852024-11-15T03:52:55Z Distance-based ranking of fuzzy numbers / Ahmad Syafadhli Abu Bakar 2012-11 Abu Bakar, Ahmad Syafadhli Fuzzy arithmetic Fuzzy logic Ranking fuzzy numbers is one of the crucial areas of research in fuzzy set theory. Essentially, each presented ranking method is targeting on producing appropriate ranking order for a set of all types of fuzzy numbers including in ranking combinations of more than two fuzzy numbers properly. However, to rank fuzzy numbers appropriately may not be an easy task as fuzzy numbers are represented by possibility distribution hence indicates that they may or may not overlap with each other, having different shapes and distinct in terms of characteristics. Most presented ranking methods are able to rank fuzzy numbers with correct ranking order but there are certain situations where some ranking methods appear to have limitations particularly in ranking non — normal fuzzy numbers, non — overlapping fuzzy numbers and fuzzy numbers of different spreads. As to overcome these limitations, this research proposes a method of ranking fuzzy numbers using distance — based methods involving horizontal — 2: value, centroid, similarity measure, height and spread of fuzzy numbers. The proposed ranking method is applied to several benchmarking sets of fuzzy numbers for comparison purposes. As the outcomes, the proposed ranking method is found to have the ability on ranking trapezoidal, triangular and vertical line fuzzy numbers, producing correct ranking order for overlapping and non- overlapping case of fuzzy numbers, embedded fuzzy numbers, reflection case of fuzzy numbers and fuzzy numbers on the negative side. Furthermore, the proposed ranking method has also been applied on a real decision making problem faced by a company in Malaysia which is the Facilitators’ evaluation in Social Security Organization (SOCSO). In this problem, the comparison between the original approach used by SOCSO and the proposed ranking method was made. The result shown that, using the proposed ranking method, a proper selection of facilitator has been made and this outcome does satisfy the committee members of SOCSO. 2012-11 Thesis https://ir.uitm.edu.my/id/eprint/39485/ https://ir.uitm.edu.my/id/eprint/39485/1/39485.pdf text en public masters Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
topic	Fuzzy arithmetic Fuzzy logic
spellingShingle	Fuzzy arithmetic Fuzzy logic Abu Bakar, Ahmad Syafadhli Distance-based ranking of fuzzy numbers / Ahmad Syafadhli Abu Bakar
description	Ranking fuzzy numbers is one of the crucial areas of research in fuzzy set theory. Essentially, each presented ranking method is targeting on producing appropriate ranking order for a set of all types of fuzzy numbers including in ranking combinations of more than two fuzzy numbers properly. However, to rank fuzzy numbers appropriately may not be an easy task as fuzzy numbers are represented by possibility distribution hence indicates that they may or may not overlap with each other, having different shapes and distinct in terms of characteristics. Most presented ranking methods are able to rank fuzzy numbers with correct ranking order but there are certain situations where some ranking methods appear to have limitations particularly in ranking non — normal fuzzy numbers, non — overlapping fuzzy numbers and fuzzy numbers of different spreads. As to overcome these limitations, this research proposes a method of ranking fuzzy numbers using distance — based methods involving horizontal — 2: value, centroid, similarity measure, height and spread of fuzzy numbers. The proposed ranking method is applied to several benchmarking sets of fuzzy numbers for comparison purposes. As the outcomes, the proposed ranking method is found to have the ability on ranking trapezoidal, triangular and vertical line fuzzy numbers, producing correct ranking order for overlapping and non- overlapping case of fuzzy numbers, embedded fuzzy numbers, reflection case of fuzzy numbers and fuzzy numbers on the negative side. Furthermore, the proposed ranking method has also been applied on a real decision making problem faced by a company in Malaysia which is the Facilitators’ evaluation in Social Security Organization (SOCSO). In this problem, the comparison between the original approach used by SOCSO and the proposed ranking method was made. The result shown that, using the proposed ranking method, a proper selection of facilitator has been made and this outcome does satisfy the committee members of SOCSO.
format	Thesis
qualification_level	Master's degree
author	Abu Bakar, Ahmad Syafadhli
author_facet	Abu Bakar, Ahmad Syafadhli
author_sort	Abu Bakar, Ahmad Syafadhli
title	Distance-based ranking of fuzzy numbers / Ahmad Syafadhli Abu Bakar
title_short	Distance-based ranking of fuzzy numbers / Ahmad Syafadhli Abu Bakar
title_full	Distance-based ranking of fuzzy numbers / Ahmad Syafadhli Abu Bakar
title_fullStr	Distance-based ranking of fuzzy numbers / Ahmad Syafadhli Abu Bakar
title_full_unstemmed	Distance-based ranking of fuzzy numbers / Ahmad Syafadhli Abu Bakar
title_sort	distance-based ranking of fuzzy numbers / ahmad syafadhli abu bakar
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2012
url	https://ir.uitm.edu.my/id/eprint/39485/1/39485.pdf
_version_	1818587890167316480

Distance-based ranking of fuzzy numbers / Ahmad Syafadhli Abu Bakar

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