Linguistic temporal discrete Z-numbers and its application

The concepts of temporal intuitionistic fuzzy set and temporal fuzzy set were introduced by earlier researchers to model Spatio-temporal and dynamic motions of complex physical systems, respectively. However, the temporal intuitionistic fuzzy set has not been properly applied to solve systems with t...

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Main Author:	Abdullahi, Mujahid
Format:	Thesis
Language:	English
Published:	2020
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/102253/1/MujahidAbdullahiPFS2020.pdf.pdf
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id	my-utm-ep.102253
record_format	uketd_dc
spelling	my-utm-ep.1022532023-08-13T06:15:02Z Linguistic temporal discrete Z-numbers and its application 2020 Abdullahi, Mujahid QA Mathematics The concepts of temporal intuitionistic fuzzy set and temporal fuzzy set were introduced by earlier researchers to model Spatio-temporal and dynamic motions of complex physical systems, respectively. However, the temporal intuitionistic fuzzy set has not been properly applied to solve systems with temporal information. Furthermore, both concepts do not address the problem of uncertainty with respect to the time of occurrence. In this thesis, the discrete and continuous Z-numbers are proven to be ordered by employing a linear ordering relation. This new concept of ordered discrete Z-number leads to the development of two families of temporal Z-number, namely, linguistic temporal discrete Z-number (LTDZ) and temporal discrete Z-number (TDZ). Some of the basic arithmetic operations for LTDZ are introduced and their properties are proven in this thesis. In relation to that, a method for measuring uncertainty for LTDZ with respect to its time of occurrence is proposed by modifying the method for measuring the uncertainty of discrete Z-number. The temporal discrete Z-number is developed for the purpose of analyzing the electroencephalographic (EEG) signal of an epileptic seizure. Numerical examples are included to show the feasibility of the proposed concepts. 2020 Thesis http://eprints.utm.my/id/eprint/102253/ http://eprints.utm.my/id/eprint/102253/1/MujahidAbdullahiPFS2020.pdf.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:145953 phd doctoral Universiti Teknologi Malaysia Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Abdullahi, Mujahid Linguistic temporal discrete Z-numbers and its application
description	The concepts of temporal intuitionistic fuzzy set and temporal fuzzy set were introduced by earlier researchers to model Spatio-temporal and dynamic motions of complex physical systems, respectively. However, the temporal intuitionistic fuzzy set has not been properly applied to solve systems with temporal information. Furthermore, both concepts do not address the problem of uncertainty with respect to the time of occurrence. In this thesis, the discrete and continuous Z-numbers are proven to be ordered by employing a linear ordering relation. This new concept of ordered discrete Z-number leads to the development of two families of temporal Z-number, namely, linguistic temporal discrete Z-number (LTDZ) and temporal discrete Z-number (TDZ). Some of the basic arithmetic operations for LTDZ are introduced and their properties are proven in this thesis. In relation to that, a method for measuring uncertainty for LTDZ with respect to its time of occurrence is proposed by modifying the method for measuring the uncertainty of discrete Z-number. The temporal discrete Z-number is developed for the purpose of analyzing the electroencephalographic (EEG) signal of an epileptic seizure. Numerical examples are included to show the feasibility of the proposed concepts.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Abdullahi, Mujahid
author_facet	Abdullahi, Mujahid
author_sort	Abdullahi, Mujahid
title	Linguistic temporal discrete Z-numbers and its application
title_short	Linguistic temporal discrete Z-numbers and its application
title_full	Linguistic temporal discrete Z-numbers and its application
title_fullStr	Linguistic temporal discrete Z-numbers and its application
title_full_unstemmed	Linguistic temporal discrete Z-numbers and its application
title_sort	linguistic temporal discrete z-numbers and its application
granting_institution	Universiti Teknologi Malaysia
granting_department	Faculty of Science
publishDate	2020
url	http://eprints.utm.my/id/eprint/102253/1/MujahidAbdullahiPFS2020.pdf.pdf
_version_	1776100879777136640

Linguistic temporal discrete Z-numbers and its application

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