Graph of pseudo degree zero generated by sequence of fuzzy topographic topological mapping

Graph of pseudo degree zero generated by sequence of fuzzy topographic topological mapping

Fuzzy topological topographic mapping (FTTM) is a set of topological spaces and algorithms used in solving neuro magnetic inverse problem. The original FTTM consists of four topological spaces and three algorithms. Previous study has led to a new version, namely FTTM 2 which has been used to transfo...

Full description

Saved in:
Bibliographic Details
Main Author: Mukaram, Muhammad Zillullah
Format: Thesis
Language:English
Published: 2020
Subjects:
Q Science (General)
Online Access:http://eprints.utm.my/id/eprint/101856/1/MuhammadZillullahMukaramMFS2020.pdf.pdf
Tags: Add Tag
No Tags, Be the first to tag this record!
id my-utm-ep.101856
record_format uketd_dc
spelling my-utm-ep.1018562023-07-13T01:49:02Z Graph of pseudo degree zero generated by sequence of fuzzy topographic topological mapping 2020 Mukaram, Muhammad Zillullah Q Science (General) Fuzzy topological topographic mapping (FTTM) is a set of topological spaces and algorithms used in solving neuro magnetic inverse problem. The original FTTM consists of four topological spaces and three algorithms. Previous study has led to a new version, namely FTTM 2 which has been used to transform magnetic data to image data. It has been known that FTTMs have special properties, namely the homeomorphism between its components as well as homeomorphism between components of different FTTM versions. Through this property new FTTM can be generated by combining FTTM components of different versions which can be depicted in a form of graphs. A special type of FTTM graph called FTTM graph of pseudo degree zero can be obtained by generating an FTTM where each adjacent components belong to different versions. Furthermore, FTTM can be generalized to include n number of components and k number of versions in a sequence of *FTTM????. Investigation by previous research has yielded a conjecture on *FTTM??3, named the Elsafi’s Conjecture. This study focuses on the number of FTTM graph of pseudo degree zero generated from the sequence *FTTM????, specifically by *FTTM??3. This study proves the Elsafi’s Conjecture analytically and it generalizes the conjecture to include k number of components. A simulation is developed to determine the number of FTTM graph of pseudo degree zero. The algorithm is implemented using the C++ programming language and further improved by parallelizing the algorithm. This implementation yields two new conjectures. Further, a novel concept to depict FTTM namely FTTM grid is introduced for sequence of FTTM and FTTM path. Using this newly concept, the Elsafi’s Conjecture is finally. 2020 Thesis http://eprints.utm.my/id/eprint/101856/ http://eprints.utm.my/id/eprint/101856/1/MuhammadZillullahMukaramMFS2020.pdf.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:148580 masters Universiti Teknologi Malaysia Faculty of Science
institution Universiti Teknologi Malaysia
collection UTM Institutional Repository
language English
topic Q Science (General)
spellingShingle Q Science (General)
Mukaram, Muhammad Zillullah
Graph of pseudo degree zero generated by sequence of fuzzy topographic topological mapping
description Fuzzy topological topographic mapping (FTTM) is a set of topological spaces and algorithms used in solving neuro magnetic inverse problem. The original FTTM consists of four topological spaces and three algorithms. Previous study has led to a new version, namely FTTM 2 which has been used to transform magnetic data to image data. It has been known that FTTMs have special properties, namely the homeomorphism between its components as well as homeomorphism between components of different FTTM versions. Through this property new FTTM can be generated by combining FTTM components of different versions which can be depicted in a form of graphs. A special type of FTTM graph called FTTM graph of pseudo degree zero can be obtained by generating an FTTM where each adjacent components belong to different versions. Furthermore, FTTM can be generalized to include n number of components and k number of versions in a sequence of *FTTM????. Investigation by previous research has yielded a conjecture on *FTTM??3, named the Elsafi’s Conjecture. This study focuses on the number of FTTM graph of pseudo degree zero generated from the sequence *FTTM????, specifically by *FTTM??3. This study proves the Elsafi’s Conjecture analytically and it generalizes the conjecture to include k number of components. A simulation is developed to determine the number of FTTM graph of pseudo degree zero. The algorithm is implemented using the C++ programming language and further improved by parallelizing the algorithm. This implementation yields two new conjectures. Further, a novel concept to depict FTTM namely FTTM grid is introduced for sequence of FTTM and FTTM path. Using this newly concept, the Elsafi’s Conjecture is finally.
format Thesis
qualification_level Master's degree
author Mukaram, Muhammad Zillullah
author_facet Mukaram, Muhammad Zillullah
author_sort Mukaram, Muhammad Zillullah
title Graph of pseudo degree zero generated by sequence of fuzzy topographic topological mapping
title_short Graph of pseudo degree zero generated by sequence of fuzzy topographic topological mapping
title_full Graph of pseudo degree zero generated by sequence of fuzzy topographic topological mapping
title_fullStr Graph of pseudo degree zero generated by sequence of fuzzy topographic topological mapping
title_full_unstemmed Graph of pseudo degree zero generated by sequence of fuzzy topographic topological mapping
title_sort graph of pseudo degree zero generated by sequence of fuzzy topographic topological mapping
granting_institution Universiti Teknologi Malaysia
granting_department Faculty of Science
publishDate 2020
url http://eprints.utm.my/id/eprint/101856/1/MuhammadZillullahMukaramMFS2020.pdf.pdf
_version_ 1776100788002619392

Similar Items