@article {10.3844/jmssp.2010.151.156,
article_type = {journal},
title = {Generalized Finite Sequence of Fuzzy Topographic Topological Mapping},
author = {Ahmad, Tahir and Jamian, Siti Suhana and Talib, Jamalludin},
volume = {6},
year = {2010},
month = {Jun},
pages = {151-156},
doi = {10.3844/jmssp.2010.151.156},
url = {https://thescipub.com/abstract/jmssp.2010.151.156},
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 = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}