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Found 3841 matches for "All Articles"

On Fully Right Prime Ternary Rings and Their Algebraic Properties

The objective of this paper to study some algebraic properties of ternary rings in which all of their proper right ideals are prime. Also, we characterize the relation between this class of ternary rings and the rings that all of their right ideals are weakly prime.

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Zahraa Hasan mail
link https://doi.org/10.54216/GJMSA.070203

Volume & Issue

Vol. Volume 7 / Iss. Issue 2

Details open_in_new

The Integrals on Spherical Regions in ℜn

This paper is dedicated to find the values of the integrals in the spherical region of  depending on the generative Kernel method by finding the integral formula that we use in the orthogonal and regular operations to find Ortho-normal polynomials on the sphere with radius r. Also, we illustrate many examples to clarify the validity of our work.

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Murat Ozcek mail
link https://doi.org/10.54216/GJMSA.070204

Volume & Issue

Vol. Volume 7 / Iss. Issue 2

Details open_in_new

On Finding Legendre Polynomials by Algebraic Methods Based on Matrix Theory

This paper is dedicated to find Legendre polynomials by using novel linear algebraic methods based on matrices based on Liouville-Sturm theorem, where we find the matrix of the differential operator for Legendre polynomials, with their eigenvalues and their eigenvectors. Also, we illustrate many examples to clarify the validity of our work.

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Lee Xu mail
link https://doi.org/10.54216/GJMSA.070205

Volume & Issue

Vol. Volume 7 / Iss. Issue 2

Details open_in_new

A New Data Fusion Framework of Business Intelligence for Mining Educational Data

Student academic performance can be affected by social, economic, and educational factors. Many research works studied these factors applying to different levels in the educational organizations’ models. The importance spans giving professional educational advice to vulnerable students, supporting the student’s development of special education-related skills, and encouraging students to handle their education challenges. For educational organizations, dealing with pandemics and other obstacles has proven to be essential for education sustainability. One way is to be proactive and use the power of exploring and discovering educational data to predict students’ performance and attitude. Mining educational data can benefit from Business Intelligence (BI) in visualizing, organizing, and extracting insights for student’s performance. Educational Data Mining (EDM) is used in this research to predict students' performance. A novel data fusion framework is introduced for Business Intelligence using educational data mining. This study aims to show the techniques that predict students' performance and the most effective methods for each of them. The proposed framework used the advantage of business intelligence concepts and tools to highlight the metrics providing better statistical and analytical understanding.

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Nissreen El Saber mail -
Aya Gamal Mohamed mail -
Khalid A. Eldrandaly mail
link https://doi.org/10.54216/FPA.130108

Volume & Issue

Vol. Volume 13 / Iss. Issue 1

Details open_in_new

The Algebraic Structures of Q-Complex Neutrosophic Soft Sets Associated with Groups and Subgroups

Groups and subgroups are rich algebraic structures, and both of them depend on binary operations in their work. The discussion of this paper is organized into two parts. In the first part, we define the notion of Qcomplex neutrosophic soft sets (Q-CNSSs) by amalgamating two previous models of Q-complex neutrosophic set (Q-CNS) and soft set (SS) to address the issues of two-dimensionality (two variables) in a universal set under a parametric environment. Subsequently, the relation between Q-CNSSs and Q- neutrosophic soft sets (Q-NSSs) is verified. A basic set theory for this hybrid model is developed. In particular, null Q-CNSS and absolute Q-CNSS are defined. The basic operators of the complement, subset, equality, union and intersection are advanced and their properties are examined. Further, the notions of the homogeneous and completely homogeneous Q-CNSSs are proposed along with some illustrated examples. In part two, we move to study some algebraic structures of this model when we define the notions of Q-complex neutrosophic soft groups (QCNSG) and Q-complex neutrosophic soft subgroups (Q-CNSSG). Then, the relation between Q-CNSG and Q-neutrosophic soft group (Q-NSG) is scrutinized. Moreover, the algebraic properties of the Q-CNSG and Q-CNSSG are discussed and verified. Finally, some theories that show the relationship between the Q-CNSG and the soft group are proposed.

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Ashraf Al-Quran mail -
Faisal Al-Sharqi mail -
Zahari Md. Rodzi mail -
Mona Aladil mail -
Rawan A. shlaka mail -
Mamika Ujianita Romdhini mail -
Mohammad K. Tahat mail -
Obadah Said Solaiman mail
link https://doi.org/10.54216/IJNS.220105

Volume & Issue

Vol. Volume 22 / Iss. Issue 1

Details open_in_new

Other Certain Classes of Generalized Neutrosophic Soft Separation Structures

The main target of introduce our manuscript is to study and investigate another new extension for the classical meanings of neutrosophic soft neighbourhood and soft separation structures namely, neutrosophic soft δ-ß-neighbourhood and neutrosophic soft δ-ß-separation structures based on new idea of neutrosophic soft open sets called, neutrosophic soft δ-ß-open sets which is more general than of the neutrosophic soft open sets. This manuscript is devoted to obtaining some characterizations and essential properties concerning of neutrosophic soft δ-ß- Ti-spaces (i=0, 1, 2, 3, 4) as well the relationships among them. In addition, some relationships of neutrosophic soft δ-ß-separation structures with regard to neutrosophic soft points have been discussed. In addition, diverse suitable examples to support of our main results have been supplied.  

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Alaa. M. F. AL. Jumaili mail
link https://doi.org/10.54216/IJNS.220106

Volume & Issue

Vol. Volume 22 / Iss. Issue 1

Details open_in_new

Turiyam Set and Its Mathematical Distinction From Other Sets

Recently, many researchers paid attention towards exploration of dark data sets. In this process, a problem is addressed while characterization of dark data sets and its representation. One of the suitable examples is cricket data analysis where a match among two team’s likes India-Pakistan does not depends on win, draw or loss. There are many matches where Pakistan (or India) losses the match from any weak team in case India (or Pakistan) get out from the Tournament. These types of hidden or dark uncertainty can be represented via Human quantum Turiyam cognition in four dimensional rather than three-dimensional unconscious set. To understand these types of problems current paper tried to explore the Turiyam set with an illustrative and its distinction from other available sets.   

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

Volume & Issue

Vol. Volume 8 / Iss. Issue 1

Details open_in_new

Neutrosophic MCDM Model for Evaluation and Selection best 5G Network Architecture

Understanding the efficacy, efficiency, and viability of 5G network design in addressing the needs of the current digital age relies heavily on its assessment. This paper summarizes the assessment of 5G network design, including the evaluation methodology, evaluation techniques, and major conclusions. Infrastructure needs, network capacity, security, interoperability, and cost-effectiveness are just some of the topics it brings up. In order to overcome obstacles and guarantee 5G's effective deployment and performance in real-world settings, the abstract finishes by stressing the need of constant review and improvement of network design. This paper used the single valued neutrosophic set to overcome the uncertain data in evaluation 5G network architecture.  The single valued neutrosophic set integrated with multi-criteria decision making (MCDM) tools to evaluate and select best 5G network architecture. The single valued neutrosophic TOPSIS method used to select best 5G network architecture.

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Myvizhi M. mail
link https://doi.org/10.54216/IJAACI.040101

Volume & Issue

Vol. Volume 4 / Iss. Issue 1

Details open_in_new

Neutrosophic Multi-Criteria Decision Making COMET Method for Evaluation Sustainable Electricity Generation Considering Renewable Energy Sources

Considering renewable energy sources in assessments of sustainable electricity production is essential for accelerating the shift to a greener and more sustainable energy system. The evaluation takes into account a wide range of factors, such as the renewable energy source, carbon footprint, energy efficiency, environmental impact, grid integration, policy support, cost, social and economic implications, technological progress, and certification for transparency. Sustainable power deployment may be hastened via careful consideration of these aspects by policymakers, energy planners, and other stakeholders. This paper shows the hybrid multi-criteria decision-making method with the single-valued neutrosophic set. The single valued neutrosophic set was used to overcome the vague information. The single valued neutrosophic set hybrid with the Characteristic Object METhod (COMET) method. The COMET method is an MCDM method. It is used to rank the alternatives. This paper used ten criteria and ten alternatives. The application is conducted to show the results of the proposed method.

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Tamer H. M. Soliman mail
link https://doi.org/10.54216/IJAACI.040102

Volume & Issue

Vol. Volume 4 / Iss. Issue 1

Details open_in_new

Neutrosophic Combinative Distance-based Assessment (CODAS) Method for Evaluating the Financial and Operational Performance of Shipping Companies

Stakeholders must evaluate the efficiency, profitability, risk management, and overall operational effectiveness of shipping businesses by analyzing their financial and operational performance. Revenue, expenses, fleet utilization, accident rates, market share, and competitive advantage are only a few of the parameters that must be analyzed in this procedure. Stakeholders may use this information to make better choices, spot weak spots, and measure up to competitors. An overview of the criteria used to evaluate the financial and operational performance of shipping businesses is provided in this paper, together with an emphasis on the importance of such assessments in enabling strategic decision-making and long-term development within the shipping sector. This paper used the neutrosophic set framework to overcome the uncertain data. The neutrosophic set combined with the combinative distance-based assessment (CODAS) method to evaluate the financial and operational performance of shipping companies. There are ten criteria and eight companies are used in this study. The application shows the results of the proposed method.

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Alber S. Aziz mail
link https://doi.org/10.54216/IJAACI.040103

Volume & Issue

Vol. Volume 4 / Iss. Issue 1

Details open_in_new