International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

The Neutrosophic Hyperbolic Functions

Yaser A. Alhasan , Iqbal A. Musa , Eman A. Abdelgawad , Suliman Sheen

This paper aims at studying the neutrosophic hyperbolic functions, wherein the neutrosophic hyperbolic functions are defined, also, neutrosophic hyperbolic identities were discussed, in addition to introducing the rules of derivatives and integrals of the neutrosophic hyperbolic functions and inverse neutrosophic hyperbolic functions, also, logarithmic forms of inverse neutrosophic hyperbolic functions were presented.

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Doi: https://doi.org/10.54216/IJNS.200304

Vol. 20 Issue. 3 PP. 33-44, (2023)

The Integration of Rational and Irrational Neutrosophic Functions

Yaser A. Alhasan , Iqbal A. Musa , Eman A. Abdelgawad , Suliman Sheen

The purpose of this article is to study the integration of rational and irrational neutrosophic functions, where integration of standard rational neutrosophic functions discussed through three cases, in addition, integration of standard irrational neutrosophic functions were introduced through seven cases.

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Doi: https://doi.org/10.54216/IJNS.200305

Vol. 20 Issue. 3 PP. 45-64, (2023)

Multi-Valued Neutrosophic Sets for Forecasting Cryptocurrency Volatility

Noura Metawa , Rhada Boujlil , Maha Metawea

The media, legislators, investors, scholars, and regulatory agencies have all shown increased interest in the Cryptocurrency sector recently. Using different criteria in furthermore to return and risk in the cryptocurrency issue utilizing the multi-criteria decision-making (MCDM) methodologies makes it more practical in the real world. A model for predicting the volatility of cryptocurrencies is proposed in this study, and it is based on the TOPSIS approach. The model uses five criteria and six cryptocurrencies. Using a multi-valued neutrosophic set, also known as MVNS, helps to reduce the amount of uncertainty associated with the problem. MVNS was used to express the criteria and alternatives, and the model might possibly represent the Cryptocurrency with varying degrees of truth, indeterminacy, and falsity values.

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Doi: https://doi.org/10.54216/IJNS.200306

Vol. 20 Issue. 3 PP. 65-71, (2023)

A Neutrosophic AHP Analysis for Using Video Conferences in Smart Learning: A Systematic Review

Najla M. Alnaqbi , Samira A. Alnuaimi , M. Elhoseny

There is evidence that students feel less involved in distance learning, which needs more work from their educators. While distance education allows learners to feel less reluctant and/or timid to ask questions, there is also evidence that students feel less interested in distance education. Students may obtain information and knowledge at their own pace and convenience via the use of distance education. Also, it may assist in reaching the same overall performance and ultimate score as would be achieved via face-to-face instruction. The goal of this study analyzes the performance of video conferences in smart learning. This analysis contains many criteria, so the concept of multi-criteria decision-making is integrated with the neutrosophic sets to overcome uncertain information. We used the neutrosophic AHP to show the importance of each criterion. There are seven criteria used in this paper. The findings demonstrated that the utilisation of video conferences enabled students to gain access to information and educational resources, had a positive effect on the students' constructing knowledge and critical reflection, and resulted in the students reporting an extremely positive learning experience in the context of smart learning.

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Doi: https://doi.org/10.54216/IJNS.200307

Vol. 20 Issue. 3 PP. 72-81, (2023)

Generalized Pre-closed Sets in Fermatean Neutrosophic Hypersoft Topological Spaces

P. Reena Joice , M. Trinita Pricilla , S. Broumi

The motivation of this article is to develop a new idea namely generalized pre-closed sets in Fermatean Neutrosophic Hypersoft topological spaces. Also, we initiate the idea of generalized pre-open set in Fermatean Neutrosophic Hypersoft topological spaces and its characterizations are analyzed.

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Doi: https://doi.org/10.54216/IJNS.200308

Vol. 20 Issue. 3 PP. 82-97, (2023)

On the Split-Complex Neutrosophic Numbers and Their Algebraic Properties

Abuobida M. A. Alfahal , Yaser A. Alhasan , Raja A. Abdulfatah , Rozina Ali

The objective of this paper is to define for the first time the concept of split-complex numbers as a new generalization of classical split-complex numbers by using neutrosophic numbers. Also, we study the elementary properties of this new numerical class such as equations, conjugates, and vector spaces formed by it. On the other hand, some special AH-subspaces will be presented and handled with many corresponding examples.

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Doi: https://doi.org/10.54216/IJNS.200303

Vol. 20 Issue. 3 PP. 25-32, (2023)

Contra M -Continuous Maps in Neutrosophic Soft Topological Spaces

D. Jeeva , D. Sivakumar , A. Vadivel

In this paper, we introduce, study, and explain some of the properties of neutrosophic soft contraM-continuous mappings and irresolute maps in neutrosophic soft topological spaces.

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Doi: https://doi.org/10.54216/IJNS.200309

Vol. 20 Issue. 3 PP. 98-106, (2023)

On the Solutions of Fermat's Diophantine Equation in 2-cyclic Refined Neutrosophic Ring of Integers

Abuobida M. A. Alfahal , Yaser A. Alhasan , Raja A. Abdulfatah , Rozina Ali

The Diophantine equation X^n+Y^n=Z^n is called the Fermat's Diophantine equation. Its solutions are called general Fermat's triples.The aim of this paper is to study the solutions of Fermat's Diophantine equation in the 2-cyclic refined neutrosophic ring of integers, where we determine all possible solutions of this Diophantine equation, as well as, the special case of Pythagoras triples.

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Doi: https://doi.org/10.54216/IJNS.200301

Vol. 20 Issue. 3 PP. 08-14, (2023)

Single-Valued Quadripartitioned Neutrosophic Minimal Structure Space

Suman Das , Rakhal Das , Prasanna Poojary , Vadiraja Bhatta G. R.

The main objective of this article is to procure the notion of single-valued quadripartitioned neutrosophic minimal structure space (SVQNMSS) and introduce the notion of single-valued quadripartitioned neutrosophic minimal open set and single-valued quadripartitioned neutrosophic minimal continuous function in it. Further, we study several fundamental properties of continuity in SVQNMSS, such as the composition of single-valued quadripartitioned neutrosophic minimal continuous functions and the product of single-valued quadripartitioned neutrosophic minimal functions in product SVQNMSS.

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Doi: https://doi.org/10.54216/IJNS.200302

Vol. 20 Issue. 3 PP. 15-23, (2023)

Algorithms for Computing Pythagoras Triples and 4-Tiples in Some Neutrosophic Commutative Rings

Hamiyet Merkepci , Ahmed Hatip

This paper is dedicated to study the number theoretical Pythagoras triples\4-tiples problem in several kinds of neutrosophic algebraic systems, where it finds an algorithm to find Pythagoras triples\4-tiples in commutative neutrosophic rings and refined neutrosophic rings too. Besides, the necessary and sufficient condition for a triple\4-tiple to be Pythagoras triple\4-tiple (quadruples) is obtained and proven in term of theorems. In addition, many numerical examples will be illustrated.

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Doi: https://doi.org/10.54216/IJNS.200310

Vol. 20 Issue. 3 PP. 107-114, (2023)

On the Symbolic 2-Plithogenic Rings

Hamiyet Merkepci , Mohammad Abobala

The objective of this paper is to study for the first time the algebraic properties of symbolic 2-plithogenic rings generated from the fusion of symbolic plithogenic sets with algebraic rings, where we study some of the elementary properties and substructures of symbolic 2-plithogenic rings such as AH-ideals, AH-homomorphisms, and AHS-isomorphisms. Also, the idempotency and nilpotency of symbolic 2-plithogenic elements in terms of theorems have been discussed. Besides, many examples to clarify the validity of our work have been covered.

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Doi: https://doi.org/10.54216/IJNS.200311

Vol. 20 Issue. 3 PP. 115-122, (2023)

Systematic Review Using Neutrosophic Torgerson and Neutrosophic Vader to Determine the Impact of Mobile Applications in the Labor Integration of Disabled People

Javier Gamboa Cruzado , Julio Canales Parraga , Santiago M. Benites , María León Morales , Liset S. Rodríguez-Baca

People with a disability are the most likely to end up unemployed. Knowing and finding new ways to integrate them into society is urgent in an increasingly dynamic and versatile world. The systematic Review of the literature (SRL) was developed covering the issue of labor integration of people with disabilities.. The main objective of the research was to determine the state of the art of research on Mobile Applications and their impact on the Labor Integration of People with Disabilities. The use of relationship coefficients between two neutrosophic numbers, through the Torgerson method, Allowed the evaluation of the applications by the experts. The results obtained highlight the importance of mobile technology in the process of ensuring that people with disabilities find the desired job, in addition, accessibility must be met for the correct development of the application for the various existing disabilities. By utilizing Neutro-VADER and Neutrosophy, the precision and efficiency of sentiment analysis are enhanced, especially when handling uncertain or unclear text and consulting with experts. By implementing a more intricate and refined sentiment analysis method, these tools can generate more practical and valuable perspectives regarding the sentiment of written or spoken language.

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Doi: https://doi.org/10.54216/IJNS.200312

Vol. 20 Issue. 3 PP. 123-126, (2023)

Practical Validation in a Neutrosophic Environment of the NEBS Methodology for the Optimization of SME Financing through Machine Learning

Julia Juro-Barrios , Javier Gamboa-Cruzado , Alfonso Romero Baylon , C. del Valle Jurado

Micro and small enterprises (MSEs) have generated great opportunities for the growth of countries in the Latin American region. Unfortunately, as a result of the global crisis caused by the Sar-Cov-2, MSEs were severely affected. The main objective of this investigation is to validate in a practical way in a neutrosophic environment the use of a predictive Machine Learning technique that demonstrates the probability of the return on investment that a candidate investor will obtain with respect to a given business plan. With them it is expected that the investor can make the decision to finance a MSE, with the positive decision will close gaps in the growth of micro and small enterprises in Peru. The research is descriptive and predictive, with a research design of post-test only and control group. Neutrosophic TOPSIS was used as a technique. NEBS turns out to be efficient for the applicability of Machine Learning by obtaining statistical evidence to accept the hypotheses proposed for the finance sector in micro and small en-terprises in Peru. The results showed that the use of Machine Learning is validated, and its implementation increases the amount of financing obtained, decreases the evaluation time of requirements, reduces the number of complaints, and increases the number of formal sources used. Machine Learning research should be continued due to the complexity of this technology, which is con-stantly evolving.…

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Doi: https://doi.org/10.54216/IJNS.200313

Vol. 20 Issue. 3 PP. 137-149, (2023)