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On the Periodicity of a Max-type Fuzzy Difference Equations
Changyou Wang,
Wei Wei,
Qiang Yang,
Yonghong Li
Issue:
Volume 7, Issue 2, December 2019
Pages:
13-18
Received:
17 November 2019
Accepted:
2 December 2019
Published:
11 December 2019
Abstract: Our aim in this paper is to discuss the periodicity and boundedness of a max-type fuzzy difference equation. When studying the periodicity of the solution to the max-fuzzy difference equation, the equation is first converted into a difference system composed of two related difference equations through the cut set theory of the fuzzy number, then the periodicity of each solution sequence in the system is obtained by means of inequality technique, mathematical induction and other theoretical methods, thus the periodicity of the solution is proved. As researching the boundedness of the solution for the fuzzy difference equation, the difference system is also obtained through the cut set theory of the fuzzy number, then analyze the boundedness to each solution sequence according to the periodicity with the solution sequence, through examining the value of the finite subsequence in each solution sequence, the boundedness with these subsequences can be obtained, and then the boundedness for each solution sequence made up of complete subsequences can be known, thus the boundedness of the solution is proved. Finally, the results obtained in this paper are simulated by using the software package MATLAB 2016, the numerical results not only show the dynamic behavior of the solutions to the fuzzy difference systems, but also verify the effectiveness of the theoretical results.
Abstract: Our aim in this paper is to discuss the periodicity and boundedness of a max-type fuzzy difference equation. When studying the periodicity of the solution to the max-fuzzy difference equation, the equation is first converted into a difference system composed of two related difference equations through the cut set theory of the fuzzy number, then th...
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New Magnetics Observations with a Random Exchange Interaction
Alioune Aidara Diouf,
Souleymane Sene,
Bassirou Lo
Issue:
Volume 7, Issue 2, December 2019
Pages:
19-24
Received:
19 November 2019
Accepted:
5 December 2019
Published:
11 December 2019
Abstract: The aim of this paper is to investigate a new type of magnetic material, which has a permanent random exchange interaction. The ferromagnetic properties (magnetizations) of an Ising nanostructure are investigated using the effective field theory with correlations. The system has consisted from spin-1/2 atoms with a random exchange interaction Jij. The value of Jij is randomly distributed by a random function. A specific investigation about the special effects of the random core exchange interaction on the magnetization and the critical temperature has been studied. For the appropriate value of the system parameter new descriptions and phenomena of the magnetizations in 3D have been obtained. The results show that it is possible to get the same ferromagnetic behavior observed with a constant exchange interaction by using a permanent random exchange interaction. Moreover, the results found can be as well displayed in three dimensions (3D) with the same behavior observed in 2D. The results are well detailed in the paper.
Abstract: The aim of this paper is to investigate a new type of magnetic material, which has a permanent random exchange interaction. The ferromagnetic properties (magnetizations) of an Ising nanostructure are investigated using the effective field theory with correlations. The system has consisted from spin-1/2 atoms with a random exchange interaction Jij. ...
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Machine Learning Algorithms and Wireless Sensor Network Applied to Medical Diagnosis: A Systematic Review
Issue:
Volume 7, Issue 2, December 2019
Pages:
25-33
Received:
18 November 2019
Accepted:
27 November 2019
Published:
17 December 2019
Abstract: In this research work systematic approach were used to conduct a survey on recent contributions of the authors that applied Machine learning algorithms or computational intelligence, Artificial intelligence and soft computing techniques such as Artificial Neural Network, Fuzzy logic Genetic algorithm, Artificial Immune System Swarm intelligence among others or any combination of these techniques Neuro-fuzzy, Adaptive Neuro-fuzzy, Neuro-genetic, fuzzy-genetic, and so on that is soft computing to medical diagnosis and also a systematic review on the application of wireless sensor network, wireless sensor is a veritable embedded system with a wireless communication function, and that is capable to: Collect physical quantities such as heat, humidity, temperature, vibration, radiation, sound, light, movement, etc. Convert them into digital values which are sent as sensed data to a remote processing station or base station (WSN) to medical and health care delivery. However the survey believed that combining wireless sensor network with soft computing techniques, artificial intelligence techniques can perform well in providing health care services compare to one technique because any of these techniques has certain limitations but together perhaps they two or three techniques connected together would reduce error to a minimum level.
Abstract: In this research work systematic approach were used to conduct a survey on recent contributions of the authors that applied Machine learning algorithms or computational intelligence, Artificial intelligence and soft computing techniques such as Artificial Neural Network, Fuzzy logic Genetic algorithm, Artificial Immune System Swarm intelligence amo...
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Dynamics of Two-level Atom Interaction with Single-mode Field
Sitotaw Eshete,
Yimenu Yeshiwas
Issue:
Volume 7, Issue 2, December 2019
Pages:
34-38
Received:
21 November 2019
Accepted:
17 December 2019
Published:
27 December 2019
Abstract: In this paper, we investigate the dynamics of fluorescent light emitted by a two-level atom interacts with squeezed vacuum reservoir is studied wisely using two-time correlation function and the master equation fundamentals approaches. We use the pertinent master equation to calculate the time-evolution of cavity filed operators as well as two-time correlation function. The mathematical analysis shows the fluorescent spectrum of light emitted by the atom is turned out to be a single peak at a Lorentz's frequency for both squeezed vacuum reservoir and thermal reservoir. On the other hand, we have identified that the squeezed vacuum reservoir input is responsible to the stimulated emission of photons from the atom. Moreover, it is identified that thermal reservoir is more efficient than squeezed vacuum reservoir to have valuable power spectrum. The power spectrum which characterizes the fluorescent light generated by a two-level atom has been summered as it is observed for both case; (i) when a two-level atom coupled to squeezed vacuum reservoir and (ii) when the two-level atom coupled to thermal reservoir. Finally, we generalized from the paper is that the power spectrum of generated light from a two-level atom coupled to thermal reservoir is greater than the power spectrum generated from a two-level atom coupled to squeezed vacuum reservoir. In contrast, more stimulated and squeezed photons are emitted in the case when the atom is coupled with squeezed vacuum reservoir.
Abstract: In this paper, we investigate the dynamics of fluorescent light emitted by a two-level atom interacts with squeezed vacuum reservoir is studied wisely using two-time correlation function and the master equation fundamentals approaches. We use the pertinent master equation to calculate the time-evolution of cavity filed operators as well as two-time...
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