Sequences and cubes of finite vertices of fuzzy topograpffic topological mapping

Fuzzy Topographic Topological Mapping (FTTM) was first developed by Fuzzy Research Group (FRG) of UTM. FTTM is a novel method for solving neuromagnetic inverse problems to determine the current source, i.e. epileptic foci in epilepsy disorder patient. FTTM consists of four components which are conne...

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Main Author:	Mohd. Yunus, Azrul Azim
Format:	Thesis
Language:	English
Published:	2015
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/54900/1/AzrulAzimPFS2015.pdf
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spelling	my-utm-ep.549002020-11-15T09:46:39Z Sequences and cubes of finite vertices of fuzzy topograpffic topological mapping 2015-09 Mohd. Yunus, Azrul Azim QA Mathematics Fuzzy Topographic Topological Mapping (FTTM) was first developed by Fuzzy Research Group (FRG) of UTM. FTTM is a novel method for solving neuromagnetic inverse problems to determine the current source, i.e. epileptic foci in epilepsy disorder patient. FTTM consists of four components which are connected by three algorithms. FTTM is specially designed to have equivalent topological structures between its components. In addition, FTTM was generalized as a set of vertices which led to infinitely many forms of FTTM. This includes the possibilities of finite vertices of FTTM. In this research, the structure for finite vertices of FTTM, namely FK where K represents the number of vertices is established. Firstly, the sequences of FK, given by FKn are constructed as sequences of polygons. In this process, geometrical and algebraic structures for some FK; are obtained and proven in this thesis. Some patterns on F K n are observed and defined recursively. Several new features for sequences of F Kn are introduced, such as sequence of vertices, sequence of faces, and sequence of cubes. Consequently, some theorems are proven in order to describe patterns for the sequence of cubes for FK n . Interestingly, the cube of FK n appears to be an example of generalized Fibonacci sequence, namely the k-Fibonacci sequence. Furthermore, the number of new elements produced from the combination of sequences of FK n can be expressed as a combination of cubes of F Kn. 2015-09 Thesis http://eprints.utm.my/id/eprint/54900/ http://eprints.utm.my/id/eprint/54900/1/AzrulAzimPFS2015.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:95534 phd doctoral Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Mohd. Yunus, Azrul Azim Sequences and cubes of finite vertices of fuzzy topograpffic topological mapping
description	Fuzzy Topographic Topological Mapping (FTTM) was first developed by Fuzzy Research Group (FRG) of UTM. FTTM is a novel method for solving neuromagnetic inverse problems to determine the current source, i.e. epileptic foci in epilepsy disorder patient. FTTM consists of four components which are connected by three algorithms. FTTM is specially designed to have equivalent topological structures between its components. In addition, FTTM was generalized as a set of vertices which led to infinitely many forms of FTTM. This includes the possibilities of finite vertices of FTTM. In this research, the structure for finite vertices of FTTM, namely FK where K represents the number of vertices is established. Firstly, the sequences of FK, given by FKn are constructed as sequences of polygons. In this process, geometrical and algebraic structures for some FK; are obtained and proven in this thesis. Some patterns on F K n are observed and defined recursively. Several new features for sequences of F Kn are introduced, such as sequence of vertices, sequence of faces, and sequence of cubes. Consequently, some theorems are proven in order to describe patterns for the sequence of cubes for FK n . Interestingly, the cube of FK n appears to be an example of generalized Fibonacci sequence, namely the k-Fibonacci sequence. Furthermore, the number of new elements produced from the combination of sequences of FK n can be expressed as a combination of cubes of F Kn.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Mohd. Yunus, Azrul Azim
author_facet	Mohd. Yunus, Azrul Azim
author_sort	Mohd. Yunus, Azrul Azim
title	Sequences and cubes of finite vertices of fuzzy topograpffic topological mapping
title_short	Sequences and cubes of finite vertices of fuzzy topograpffic topological mapping
title_full	Sequences and cubes of finite vertices of fuzzy topograpffic topological mapping
title_fullStr	Sequences and cubes of finite vertices of fuzzy topograpffic topological mapping
title_full_unstemmed	Sequences and cubes of finite vertices of fuzzy topograpffic topological mapping
title_sort	sequences and cubes of finite vertices of fuzzy topograpffic topological mapping
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2015
url	http://eprints.utm.my/id/eprint/54900/1/AzrulAzimPFS2015.pdf
_version_	1747817751103143936

Sequences and cubes of finite vertices of fuzzy topograpffic topological mapping

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