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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
http://eprints.utm.my/id/eprint/54900/
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spelling my.utm.549002020-11-15T09:46:39Z http://eprints.utm.my/id/eprint/54900/ Sequences and cubes of finite vertices of fuzzy topograpffic topological mapping 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 NonPeerReviewed application/pdf en http://eprints.utm.my/id/eprint/54900/1/AzrulAzimPFS2015.pdf Mohd. Yunus, Azrul Azim (2015) Sequences and cubes of finite vertices of fuzzy topograpffic topological mapping. PhD thesis, Universiti Teknologi Malaysia, Faculty of Science. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:95534
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
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
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
publishDate 2015
url http://eprints.utm.my/id/eprint/54900/1/AzrulAzimPFS2015.pdf
http://eprints.utm.my/id/eprint/54900/
http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:95534
_version_ 1684653441564016640
score 13.211869

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