Generalized Finite Sequence of Fuzzy Topographic Topological Mapping

Ahmad, Tahir; Jamian, Siti Suhana; Talib, Jamalludin

doi:10.3844/jmssp.2010.151.156

Cited by 14 publications

(6 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Consequently , Yun proposed a conjecture such that, if there exist n elements of F T T M , then the number of new elements are n 4 − n [4]. Jamaian et.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Sequence of fuzzy topographic topological mapping and k-Fibonacci sequence

Ahmad¹,

Yunus²,

Karim³

2015

ams

View full text Add to dashboard Cite

Fuzzy Topological Topographic Mapping (F T T M ) is a model for solving neuromagnetic inverse problem. F T T M consists of four components and connected by three algorithms. F T T M version 1 and F T T M version 2 were designed to present 3D view of an unbounded single current and bounded multicurrent sources, respectively. In 2008, Suhana proved the conjecture posed by Liau in 2005 such that if there exist n number of F T T M , then n 4 − n new elements of F T T M will be generated from it. In this paper, a new proof of sequence of F T T M is presented using k-Fibonacci sequence.

show abstract

“…Consequently , Yun proposed a conjecture such that, if there exist n elements of F T T M , then the number of new elements are n 4 − n [4]. Jamaian et.…”

Section: Introductionmentioning

confidence: 99%

“…Generally, F T T M [1][2][3][4][5]. is a 4-tuple of topological spaces which are homeomorphic to each other and can be represented as …”

Section: Introductionmentioning

confidence: 99%

Sequence of fuzzy topographic topological mapping and k-Fibonacci sequence

Ahmad¹,

Yunus²,

Karim³

2015

ams

View full text Add to dashboard Cite

show abstract

“…Consequently, Yun (2006) proposed a conjecture such that, if there exist n elements of FTTM, then the number of new elements are n 4 -n. The above conjecture finally proved by (Ahmed et al, 2010) as stated below.…”

Section: Introductionmentioning

confidence: 77%

Graph of Finite Sequence of Fuzzy Topographic Topological Mapping of Order Two

Sayed¹

2013

Journal of Mathematics and Statistics

View full text Add to dashboard Cite

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

show abstract

“…The model is consists of four elements, Magnetic Contour Plane (MC), Base Magnetic Place (BM), Fuzzy Magnetic Field (TM) and Topographic Magnetic Field (TM) each homeomorphic to each other . The novel model was generalized in (Ahmad et al, 2010). Similar concept of topological mapping was also used in (Nordin and Ali, 2009) to provide navigation and localization for visually impaired people.…”

Section: Fig 1: Eeg Projectionmentioning

confidence: 99%

Topological Conjugacy Between Seizure and Flat Electroencephalography

M.¹

2010

American Journal of Applied Sciences

View full text Add to dashboard Cite

Problem statement: Seizure and Flat EEG which are modeled as two distinct dynamical systems share the same dynamics in the topological viewpoint. Approach: Motions of seizure and Flat EEG of the dynamical systems were written as set points. A function that maps between these two sets is then built. By using topological conjugacy, they are shown to share the same dynamics. Results: Seizure and Flat EEG were shown to share the same dynamics along with other properties such as order isomorphic, homeomorphic and the unique representation of any event during seizure as an open set. Conclusion: This study shows that the dynamics of seizure can be transported to Flat EEG.

show abstract

Generalized Finite Sequence of Fuzzy Topographic Topological Mapping

Cited by 14 publications

References 3 publications

Sequence of fuzzy topographic topological mapping and k-Fibonacci sequence

Sequence of fuzzy topographic topological mapping and k-Fibonacci sequence

Graph of Finite Sequence of Fuzzy Topographic Topological Mapping of Order Two

Topological Conjugacy Between Seizure and Flat Electroencephalography

Contact Info

Product

Resources

About