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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Science Publications
2010
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/2838/1/TahirAhmad2010_GeneralizedFiniteSequenceofFuzzy.pdf http://eprints.utm.my/id/eprint/2838/ http://www.scipub.org/fulltext/jms2/jms262151-156.pdf |
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| Summary: | 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 |
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