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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

GRAPH OF FINITE SEQUENCE OF FUZZY TOPOGRAPHIC TOPOLOGICAL MAPPING OF ORDER TWO

Mohamed Sayed1 and Tahir Ahmad2
  • 1 International University of Africa, Malaysia
  • 2 University Teknologi Malaysia, Malaysia

Abstract

Fuzzy Topographic Topological Mapping (FTTM) was built to solve the neuromagnetic inverse problem to determine the location of epileptic foci in epilepsy disorder patient. The model which consists of topological and fuzzy structures is composed into three mathematical algorithms. FTTM consists of four topological spaces and connected by three homeomorphisms. FTTM version 1 is also homeomorphic to FTTM version 2. This homeomorphism generates another 14 elements of FTTM. In this study we proved that, if there exist n elements of FTTM, the new elements of order 2 will produce a graph of degree 24n2-16n-8. In this study, the statement is proven by viewing FTTMs as sequence and using its graphical features. In the process, several definitions and theorems were developed.

Journal of Mathematics and Statistics
Volume 9 No. 1, 2013, 18-23

DOI: https://doi.org/10.3844/jmssp.2013.18.23

Submitted On: 13 September 2011 Published On: 15 March 2013

How to Cite: Sayed, M. & Ahmad, T. (2013). GRAPH OF FINITE SEQUENCE OF FUZZY TOPOGRAPHIC TOPOLOGICAL MAPPING OF ORDER TWO. Journal of Mathematics and Statistics, 9(1), 18-23. https://doi.org/10.3844/jmssp.2013.18.23

Open AccessCopyright: © 2013 Mohamed Sayed and Tahir Ahmad. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Fuzzy Topographic Topological Mapping
  • Sequence of FTTMn
  • Element of Order Two
  • M1