GRAPH OF FINITE SEQUENCE OF FUZZY TOPOGRAPHIC TOPOLOGICAL MAPPING OF ORDER TWO
Mohamed Sayed and Tahir Ahmad
DOI : 10.3844/jmssp.2013.18.23
Journal of Mathematics and Statistics
Volume 9, Issue 1
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.
© 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.