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Found 3841 matches for "All Articles"

The Mathematical Exploration of π value and its Approximation

In this paper the author will illustrate some basic mathematics about π and its computation in comparison of both Indian Knowledge System as well as others. Same time the infinite series computation and its application is discussed with a pseudo code for decision making process. It is believed that this computation will be helpful for early career researcher for various applications of pie in knowledge processing tasks.

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Prem Kumar Singh mail
link https://doi.org/10.54216/JNFS.080101

Volume & Issue

Vol. Volume 8 / Iss. Issue 1

Details open_in_new

On Some Novel Results About Fuzzy n-Standard Number Theoretical Systems and Fuzzy Pythagoras Triples

The main goal of this work is to study the solutions of linear congruencies in the standard and n-standard fuzzy number theoretical systems, where we present necessary and sufficient conditions for fuzzy congruence to be solvable in these systems. Also, we provide the conditions of fuzzy nilpotency and fuzzy invertibility modulo integers with many illustrated examples. On the other hand, we suggest an algorithm to generate fuzzy Pythagoras triples and fuzzy Pythagoras quadruples in the standard fuzzy number theoretical system.

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Rashel Abu Hakmeh mail -
Murhaf Obaidi mail
link https://doi.org/10.54216/JNFS.080102

Volume & Issue

Vol. Volume 8 / Iss. Issue 1

Details open_in_new

On The Diophantine 3-Cyclic Refined Neutrosophic Roots of Unity

The 3-cyclic refined neutrosophic roots of unity are exactly the solutions of the Diophantine equation  in the 3-cyclic refined neutrosophic ring of integers . This paper is dedicated to finding all 3-cyclic refined neutrosophic Diophantine roots of unity, where it proves that there exist only three solutions for the case of odd order (n), and twelve different solutions for the case of even order (n). On the other hand, the group generated from all solutions will be classified as a finite abelian group with direct products of finite cyclic groups.

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Warshine Barry mail -
Lee Xu mail -
Josef Al Jumayel mail
link https://doi.org/10.54216/JNFS.080103

Volume & Issue

Vol. Volume 8 / Iss. Issue 1

Details open_in_new

Computing Idempotent Elements In 3-Cyclic and 4-Cyclic Refined Neutrosophic Rings of Integers

An element X in a ring R is called idempotent if it equals its square. In this paper, we study the idempotent elements in the 3-cyclic refined neutrosophic ring of integers and 4-cyclic refined neutrosophic ring of integers, where we compute all idempotents in those two rings by solving many different linear Diophantine systems which are generated directly from their the algebraic structure. On the other hand, we use the same Diophantine systems to compute all 2-potent 3-cyclic, and 4-cyclic refined neutrosophic integer elements.

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Warshine Barry mail -
Narek Badjajian mail
link https://doi.org/10.54216/JNFS.080104

Volume & Issue

Vol. Volume 8 / Iss. Issue 1

Details open_in_new

On Some Different Types of Algebraic Linear Equations In Several Different Symbolic 2-Plithogenic Rings

Plithogenic algebraic rings are considered novel generalizations of neutrosophic rings. This paper is dedicated to studying and solving many different types of symbolic 2-plithogenic linear algebraic equations where dual, split-complex, and weak fuzzy linear equations of symbolic 2-plithogenic type will be solved and discussed. Also, we illustrate many numerical examples to clarify the validity of our work.

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Djamal Lhiani mail
link https://doi.org/10.54216/JNFS.080105

Volume & Issue

Vol. Volume 8 / Iss. Issue 1

Details open_in_new

Literal Neutrosophic and Plithogenic Marshall-Olkin Type II Class of Distributions with Application to Exponential Distribution

In this study, we introduce Marshall-Olkin type II class of distributions within the neutrosophic and plithogenic framework. We provide the formal expressions for the probability density function and derive the cumulative distribution function. As a specific instance, we examine the generalization of the exponential distribution in both neutrosophic and plithogenic forms according to this new class, presenting the probability density function and deriving the cumulative distribution function for this case. Furthermore, we propose an algorithm for generating random numbers based on this distribution. Additionally, we estimate its parameters using maximum likelihood and validate the results through a simulation study, demonstrating the efficiency of the calculated parameters. We also investigate the asymptotic properties, including unbiasedness and consistency.

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Danyah Dham mail -
Mohamed Bisher Zeina mail -
Riad K. Al-Hamido mail
link https://doi.org/10.54216/JNFS.080106

Volume & Issue

Vol. Volume 8 / Iss. Issue 1

Details open_in_new

Study Some Methods To Measure The Reliability System Neutrosophically

Industry has developed greatly nowadays, and it has been accompanied by great complexity in machines and devices. Researches that seeks to obtain high efficiencies for these machines have emerged , such as reliability theory. Due to the verity  and complexity of   the  machines, we resort to using the neutrosophic reliability that includes cases excluded from classical reliability.    The aim of this paper is to define the neutrosophic parallel system and study neutrosophic methods of calculating the neutrosophic  reliability, where the basic concept  neutrosophic adjacency matrix of system  are present by defined neutrosophic adjacency matrix of neutrosophic graph. Two methods for calculate the neutrosophic reliability are defined conformity to neutrosophic logic which are neutrosophic minimal path method and neutrosophic tracing method. some applications have been introduced. 

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Kawther F. Alhasan mail
link https://doi.org/10.54216/IJNS.240207

Volume & Issue

Vol. Volume 24 / Iss. Issue 2

Details open_in_new

Enhanced Intrusion Detection Using Stacked FT-Transformer Architecture

The function of network intrusion detection systems (NIDS) in protecting networks from cyberattacks is crucial. Many of the more conventional techniques rely on signature-based approaches, which have a hard time distinguishing between various types of assaults. Using stacked FT-Transformer architecture, this research suggests a new way to identify intrusions in networks. When it comes to dealing with complicated tabular data, FT-Transformers—a variant of the Transformer model—have shown outstanding performance. Because of the inherent tabular nature of network traffic data, FT-Transformers are an attractive option for intrusion detection jobs. In this area, our study looks at how FT-Transformers outperform more conventional machine learning (ML) methods. Our working hypothesis is that, in comparison to single-layered ML models, FT-Transformers will achieve better detection accuracy due to their intrinsic capacity to grasp long-range correlations in network traffic data. We also test the FT-Transformer model on several network traffic datasets that include various protocols and attack kinds to see how well it performs and how generalizable it is. The purpose of this research is to shed light on how well and how versatile FT-Transformers perform for detecting intrusions in networks. We aim to prove that FT-Transformers can secure networks from ever-changing cyber threats by comparing their performance to that of classic ML models and by testing their generalizability.

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S. Phani Praveen mail -
Thulasi Bikku mail -
P. Muthukumar mail -
K. Sandeep mail -
Jampani Chandra Sekhar mail -
V. Krishna Pratap mail
link https://doi.org/10.54216/JCIM.130202

Volume & Issue

Vol. Volume 13 / Iss. Issue 2

Details open_in_new

Optimizing AI-Based Automated Security Patch Deployment in IoT Devices to Combat Zero-Day Exploits and Advanced Cyber Attacks

This research shows a complete security design for Internet of Things (IoT) devices. It improves security by using five methods that work together. At the beginning of the process, a machine learning-based method for ranking changes is used. Then, architectures are put in place for scalable patch distribution, anomaly detection, dynamic risk assessment, and integrating threat data. Using five connected algorithms, the purpose of this research is to create a complete security framework for Internet of Things devices. Dynamic risk assessment, scalable patch delivery, integration with threat intelligence, and anomaly detection for zero-day vulnerabilities are among its characteristics. It also identifies zero-day vulnerabilities. Furthermore, it prioritises repairs using machine learning data. Every solution seeks to address a specific component of IoT security, such as dynamic risk assessments, effective patch distribution, and patch prioritisation based on vulnerability data. It is critical to maintain the Internet of Things ecosystem's safety, flexibility, and efficiency. An integrated approach provides a strong defence against cyberattacks, which is crucial for ecosystem preservation.With this system, you can get better accuracy, flexibility, and resource use than with other methods. To help explain how the methods work, charts and flowcharts are used. The ablation study indicates that each method is important because it shows how they all help keep IoT devices safe. The suggested design considers how cyber risks are always changing to protect connected devices in a lot of different places from hackers.

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Abedallah Zaid Abualkishik mail -
Nodira Zikrillaeva mail -
Gulyamova Gulnora mail
link https://doi.org/10.54216/JCIM.130203

Volume & Issue

Vol. Volume 13 / Iss. Issue 2

Details open_in_new

Skills of using the Sketch up program in producing three-dimensional learning elements

The aim of the current research is to develop the skills of stereoscopic learning elements among graduate students. This research belongs to the category of development research that uses some descriptive studies methods (descriptive survey, systems development) in the phase of study, analysis, design, and experimental approach when measuring the impact of the independent variable of research on the dependent variable. In the evaluation stage, then applying the research tools (achievement test - note card - product evaluation card) before and after on an intentional sample of (30) graduate students - full-time diploma - Mansoura University, they were divided into two experimental groups, each group (15) students , The first experimental group uses the linear sailing pattern, and the second experimental group uses the grid pattern, and the training was conducted in a three-dimensional learning environment, and the research results concluded that the grid sailing pattern is the most influential pattern on the production of stereoscopic learning elements.

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Elsayed Mohsen Y. Amer mail
link https://doi.org/10.54216/IJAIET.020201

Volume & Issue

Vol. Volume 2 / Iss. Issue 2

Details open_in_new