Research Article Open Access

Generalized Finite Sequence of Fuzzy Topographic Topological Mapping

Tahir Ahmad, Siti Suhana Jamian and Jamalludin Talib

Abstract

Problem statement: 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. Conclusion: The conjecture was proven and some features of the sequence appear in Pascal Triangle.

Journal of Mathematics and Statistics
Volume 6 No. 2, 2010, 151-156

DOI: https://doi.org/10.3844/jmssp.2010.151.156

Submitted On: 7 October 2008 Published On: 30 June 2010

How to Cite: Ahmad, T., Jamian, S. S. & Talib, J. (2010). Generalized Finite Sequence of Fuzzy Topographic Topological Mapping. Journal of Mathematics and Statistics, 6(2), 151-156. https://doi.org/10.3844/jmssp.2010.151.156

  • 2,079 Views
  • 1,875 Downloads
  • 11 Citations

Download

Keywords

  • Fuzzy topographic topological mapping
  • sequence
  • Pascal triangle