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Galoitica: Journal of Mathematical Structures and Applications | 2023

On Neutrosophic Metric Spaces Generated By Classical Metrics

This paper is dedicated to study the concept of symbolic neutrosophic metric spaces and refined neutrosophic metric spaces (X(I),d) which are generated by classical metrics, where many elementary properties will be discussed in terms of theorems and examples. Also, we study the topological properties of neutrosophic open balls, closed balls, and their topological metric complements, with many related examples that clarify the validity of our work.

groups
Khadija Ben Othman mail -
Oliver Von Shtawzen mail -
Ahmad Khaldi mail -
Rozina Ali mail
link https://doi.org/10.54216/GJMSA.070104

Volume & Issue

Vol. Volume 7 / Iss. Issue 1

Details open_in_new
Journal of Neutrosophic and Fuzzy Systems | 2023

Common Fixed Point Theorems ForWeakly Compatible Mappings In Complex Valued M− Fuzzy Metric Spaces

In this paper, we introduce the notion of complex valued M- fuzzy metric spaces. We are proving a common fixed point theorem for weakly compatible mappings satisfying common E.A. Like property in complex valued M- fuzzy metric space. Our results improve and extend the results of Singh et al.11

groups
M. Jeyaraman mail -
M. Pandiselvi mail
link https://doi.org/10.54216/JNFS.070103

Volume & Issue

Vol. Volume 7 / Iss. Issue 1

Details open_in_new
Pure Mathematics for Theoretical Computer Science | 2023

The Reading and Analyzing Of The Brain Electrical Signals To Execute a Control Command and Move an Automatic Arm

In this research, brain computer interface was designed to record brain signals and connecting it to labview via Bluetooth technology. Brain signals were acquired for 10 persons according to a specific protocol designed for the purpose of study then analyze those signals in order to form statistical data and study the changes of frequency and amplitude depending on the opening and closing of the eye. Accordingly a signal processing algorithm was developed to obtain the frequency and amplitude of the brain signal and compare those values during the opening and closing of the eye and determine the discrimination values. After the analysis and the classification steps, the algorithm was developed to send the command data to the Arduino chip and linked to the signal processing algorithm. As a result, the brain signal was marked at the blink and processed to execute a control command to trigger a relay and move an automatic arm or perform any action.  

groups
Barbara Charchekhandra mail
link https://doi.org/10.54216/PMTCS.010101

Volume & Issue

Vol. Volume 1 / Iss. Issue 1

Details open_in_new
Pure Mathematics for Theoretical Computer Science | 2023

Align and fusion two thermal and visual images

Observation and detection in different environments and weather conditions requires the use of multiple imaging methods in different spectral fields (millimeter, IR, visual, ultraviolet), where the merging process collects useful information from each spectral field and presents it in a single image. Fusion requires scene matching (zoom, rotation, shift). This article forms a good basis for real-time video image alignment and fusion, with a special focus on pixel-level fusion. In this work, we applied the affine transformation to align two images with an accuracy of up to one pixel, and then we applied several images fusion algorithms based on summing, average, linear summation, or taking the maximum or minimum values of the pixel values, and the results of applying linear addition and values algorithms were The pixels are great compared to other methods.  

groups
Barbara Charchekhandra mail
link https://doi.org/10.54216/PMTCS.010102

Volume & Issue

Vol. Volume 1 / Iss. Issue 1

Details open_in_new
Pure Mathematics for Theoretical Computer Science | 2023

The XENVMC communication protocol to improve the efficiency of live migration for co-resident virtual machines

One of the most important features offered by virtualization is the live migration of virtual machines, and it is defined as the migration of a virtual machine from one physical host to another physical host while maintaining the continuity of service for applications running on this machine. The PRE-COPY algorithm is one of the most important live migration algorithms. The working principle of this algorithm is based on the frequent transfer of changed memory pages (dirty page) between the source and the target, so that the repetition stops at a certain threshold. This algorithm suffers from a page re-send problem, which is moving the same memory pages repeatedly in each Itern, which increases the amount of data sent over the network, and thus the total live migration time increases and the total of memory pages transferred becomes much larger than The actual size of the memory. In this paper, we build a model to improve the total time of live migration in the event that co-resident Inter-VM communication. We have made a modification to the XENVMC communication protocol, which is a protocol based on the concept of shared memory to handle communication and speed up data transfer between co-resident virtual machines. The modification of the XENVMC protocol has improved the total live migration time and reduced the number of pages transmitted over the network, for two main reasons: the first is to reduce the number of changed pages in memory caused by communication between virtual machines, and the second reason is due to the acceleration of communication and data exchange between that co-resident Inter-VM communication.

groups
Barbara Charchekhandra mail
link https://doi.org/10.54216/PMTCS.010103

Volume & Issue

Vol. Volume 1 / Iss. Issue 1

Details open_in_new
Pure Mathematics for Theoretical Computer Science | 2023

On the Concept of Symbolic 7-Plithogenic Real Matrices

The main goal of this paper is to study the properties of symbolic 7-plithogenic matrices with real entries, where an algebraic view of their properties and relations will be presented and discussed. Also, we present many theorems that concern the computing of their eigenvalues and eigenvectors and their connection with classical ordinary matrices. Many related examples will be provided to clarify the validity of our work.

groups
Khadija Ben Othman mail -
Oliver Von Shtawzen mail -
Ahmad Khaldi mail -
Rozina Ali mail
link https://doi.org/10.54216/PMTCS.010201

Volume & Issue

Vol. Volume 1 / Iss. Issue 2

Details open_in_new
Pure Mathematics for Theoretical Computer Science | 2023

On the Symbolic 8-Plithogenic Matrices

The main goal of this paper is to study the properties of symbolic 8-plithogenic matrices with real entries, where an algebraic view of their properties and relations will be presented and discussed. Also, we present many theorems that concern the computing of their eigenvalues and eigenvectors and their connection with classical ordinary matrices. Many related examples will be provided to clarify the validity of our work.

groups
Khadija Ben Othman mail -
Oliver Von Shtawzen mail -
Ahmad Khaldi mail -
Rozina Ali mail
link https://doi.org/10.54216/PMTCS.010202

Volume & Issue

Vol. Volume 1 / Iss. Issue 2

Details open_in_new
Pure Mathematics for Theoretical Computer Science | 2023

On A Numerical Treatment of The Falkner–Skan Equation

This paper presents an iterative method based on spline function approximations for the numerical solution of the Falkner–Skan equation (FSE) over a semi-infinite interval. This technique will transform the FSE into two initial value problems, so the solution of FSE will be reduced from the interval [0,¥[ into [0,1]. Spline approximations are applied directly to the FSE without its reducing into a system of first-order differential equations, thus, the algorithm of spline method has a computational cost that is cost-effective. The spline solution of the FSE is existent and unique, and the convergence analysis for the spline method applied to the FSE is discussed. Numerical results are compared with those obtained by previous methods under various instances of the FSE. The comparisons show the accuracy and efficiency of the presented methodology.

groups
Arwa Hajjari mail
link https://doi.org/10.54216/PMTCS.010203

Volume & Issue

Vol. Volume 1 / Iss. Issue 2

Details open_in_new
Galoitica: Journal of Mathematical Structures and Applications | 2023

Introduction to Neutrosophic Bayes Estimation Theory

This research presents the concept of neutrosophic Bayesian estimation defining the neutrosophic loss function, neutrosophic risk function, neutrosophic posterior risk function and neutrosophic maximum a posteriori estimator. Minimization of the neutrosophic posterior risk of the estimator is also discussed. An algebraic isomorphism is used to simplify equations solving. As an application of the presented theorems, a sample drawn from a neutrosophic gamma distribution with a conjugate prior is discussed and studied and the parameter of the formulated distribution is successfully estimated using neutrosophic quadratic loss function which results an estimator that equals the posterior mean.

groups
Nizar Altounji mail -
Mohamed Bisher Zeina mail -
Moustafa Mazhar Ranneh mail
link https://doi.org/10.54216/GJMSA.070105

Volume & Issue

Vol. Volume 7 / Iss. Issue 1

Details open_in_new