A new proof on sequence of fuzzy topographic topological mapping

Azrul Azim Mohd Yunus, Tahir Ahmad

Abstract


Fuzzy Topological Topographic Mapping (FTTM) is a model for solving neuromagnetic inverse problem. FTTM consists of four components and connected by three algorithms. FTTM version 1 and FTTM version 2 were designed to present 3D view of an unbounded single current and bounded multicurrent source, respectively. In 2008, Suhana proved the conjecture posed by Liau in 2005 such that, if there exists n number of FTTM, then n4-n new elements of FTTM will be generated from it. Suhana also developed some new definitions on geometrical features of FTTM, and discovered some interesting algebraic properties. In this paper, new proof on sequence of FTTM will be presented. In the proof, the sequence of FTTM is transformed into a system of differential equation.

Keywords


Fuzzy topographic topological mapping; Number Theory; Sequence; Differential Equation;

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References


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DOI: https://doi.org/10.11113/mjfas.v9n4.106

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