Generalized finite sequence of fuzzy topographic topological mapping

• Main Authors: Ahmad, Tahir, Jamian, Siti Suhana, Talib, Jamalludin
• Format: Article
• Language: English
• Published: Science Publications 2010
• Subjects: Q Science (General)
• 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

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