Generalized finite sequence of fuzzy topographic topological mapping
Fuzzy Topographic Topological Mapping (FTTM) was developed to solve the neuromagnetic inverse problem. FTTM consisted of four topological spaces and connected by three homeomorphisms. FTTM 1 and FTTM 2 were developed to present 3-D view of an unbounded single current source and bounded multicurrent...
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2010
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| Online Access: | http://eprints.utm.my/2838/1/TahirAhmad2010_GeneralizedFiniteSequenceofFuzzy.pdf http://eprints.utm.my/2838/ http://www.scipub.org/fulltext/jms2/jms262151-156.pdf |
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| author | Ahmad, Tahir Jamian, Siti Suhana Talib, Jamalludin |
| author_facet | Ahmad, Tahir Jamian, Siti Suhana Talib, Jamalludin |
| author_sort | Ahmad, Tahir |
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| collection | Institutional Repository |
| content_provider | Universiti Teknologi Malaysia |
| content_source | UTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | Fuzzy Topographic Topological Mapping (FTTM) was developed to solve the neuromagnetic inverse problem. FTTM consisted of four topological spaces and connected by three homeomorphisms. FTTM 1 and FTTM 2 were developed to present 3-D view of an unbounded single current source and bounded multicurrent sources, respectively. FTTM 1 and FTTM 2 were homeomorphic and this homeomorphism will generate another 14 FTTM. We conjectured if there exist n elements of FTTM, then the numbers of new elements are n4-n. Approach: In this study, the conjecture was proven by viewing FTTMs as sequence and using its geometrical features. Results: In the process, several definitions were developed, geometrical and algebraic properties of FTTM were discovered |
| format | Article |
| id | my.utm.eprints-2838 |
| institution | Universiti Teknologi Malaysia |
| language | en |
| publishDate | 2010 |
| publisher | Science Publications |
| record_format | eprints |
| spelling | my.utm.eprints-28382010-10-13T04:12:34Z http://eprints.utm.my/2838/ Generalized finite sequence of fuzzy topographic topological mapping Ahmad, Tahir Jamian, Siti Suhana Talib, Jamalludin Q Science (General) Fuzzy Topographic Topological Mapping (FTTM) was developed to solve the neuromagnetic inverse problem. FTTM consisted of four topological spaces and connected by three homeomorphisms. FTTM 1 and FTTM 2 were developed to present 3-D view of an unbounded single current source and bounded multicurrent sources, respectively. FTTM 1 and FTTM 2 were homeomorphic and this homeomorphism will generate another 14 FTTM. We conjectured if there exist n elements of FTTM, then the numbers of new elements are n4-n. Approach: In this study, the conjecture was proven by viewing FTTMs as sequence and using its geometrical features. Results: In the process, several definitions were developed, geometrical and algebraic properties of FTTM were discovered Science Publications 2010 Article PeerReviewed application/pdf en http://eprints.utm.my/2838/1/TahirAhmad2010_GeneralizedFiniteSequenceofFuzzy.pdf Ahmad, Tahir and Jamian, Siti Suhana and Talib, Jamalludin (2010) Generalized finite sequence of fuzzy topographic topological mapping. Journal of Mathematics and Statistics, 6 (2). pp. 151-156. ISSN 1549-3644 http://www.scipub.org/fulltext/jms2/jms262151-156.pdf |
| spellingShingle | Q Science (General) Ahmad, Tahir Jamian, Siti Suhana Talib, Jamalludin Generalized finite sequence of fuzzy topographic topological mapping |
| title | Generalized finite sequence of fuzzy topographic topological mapping |
| title_full | Generalized finite sequence of fuzzy topographic topological mapping |
| title_fullStr | Generalized finite sequence of fuzzy topographic topological mapping |
| title_full_unstemmed | Generalized finite sequence of fuzzy topographic topological mapping |
| title_short | Generalized finite sequence of fuzzy topographic topological mapping |
| title_sort | generalized finite sequence of fuzzy topographic topological mapping |
| topic | Q Science (General) |
| url | http://eprints.utm.my/2838/1/TahirAhmad2010_GeneralizedFiniteSequenceofFuzzy.pdf http://eprints.utm.my/2838/ http://www.scipub.org/fulltext/jms2/jms262151-156.pdf |
| url_provider | http://eprints.utm.my/ |