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Found 3772 matches for "All Articles"

On Some Analytical Relations Between Double Summability Methods of Abel-Natarajan

This paper is dedicated to study the analytical relations between Abel's double summability method and Natarajan's double summability method, where many theorems that draw a bridge between the mentioned methods will be obtained. The main result of our work is to prove that that summability by Natarajan's method implies summability by Abel's method in one or two variables. On the other hand, we illustrate some related examples to clarify the validity of our approach.

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Josef Al Jumayel mail
link https://doi.org/10.54216/GJMSA.060203

Volume & Issue

Vol. Volume 6 / Iss. Issue 2

Details open_in_new

A Short Contribution to Split-Complex Linear Diophantine Equations in Two Variables

In this work, we study the split-complex integer solutions for the split-complex linear Diophantine equation in two variables  where  are split-complex integers. An algorithm for generating all solutions will be obtained by transforming the split-complex equation to a classical equivalent system of linear Diophantine equations in four variables.

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Mohammad Abobala mail
link https://doi.org/10.54216/GJMSA.060204

Volume & Issue

Vol. Volume 6 / Iss. Issue 2

Details open_in_new

Extended Uncertainty Principle for Inventory Control: An Updated Review of Environments and Applications

This paper provides a comprehensive evaluation and categorization of the various uncertain environment employed by researchers and scientists to model and analyze inventory management systems in diverse sectors, including healthcare, supply chain, and routing issues. Additionally, it examines the challenges associated with the classical inventory model and introduces the concepts of fuzzy theory and the extended fuzzy principle in inventory management. The article presents important definitions related to fuzzy theory, including the fuzzy inventory model and its challenges. It also explores the applications of the extended fuzzy principle in real-life problems. The study focuses on inventory management under the extended fuzzy principle (Intuitionistic, Neutrosophic, Pythagorean, and so on), considering uncertain demand and imprecise data. The research contributes to the field by providing insights into the potential of fuzzy theory in overcoming the challenges of classical models and improving decision-making in inventory management.

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Ankit Dubey mail -
Ranjan Kumar mail
link https://doi.org/10.54216/IJNS.210401

Volume & Issue

Vol. Volume 21 / Iss. Issue 4

Details open_in_new

New certain classes of Generalized Neutrosophic Mappings and Their Applications

The main objective of the present this article is to apply another generalized form of neutrosophic open sets namely,neutrosophic δ-ß-open sets to introduce and study a completely description for another new concept of generalized neutrosophic continuous maps namely, neutrosophic δ-ß-continuous maps in neutrosophic topological spaces. Several of the fundamental properties related to this kind of neutrosophic continuous maps have been investigated. In addition, the interrelationships between this kind of maps and other well-known related neutrosophic maps have been discussed. On the other hand, new class of generalized neutrosophic maps namely, neutrosophic δ-ß-irresolute maps has been studied, and some of the essential properties concerning of this class of generalized neutrosophic maps have been introduced. Moreover, various suitable examples to support of these results have been provided.  

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Alaa M. F. AL. Jumaili mail
link https://doi.org/10.54216/IJNS.210402

Volume & Issue

Vol. Volume 21 / Iss. Issue 4

Details open_in_new

An approach to singular modules by indeterminacy concept

In this article, we characterize a singular module and present several new strong relationships with neutrosophic (NC) properties. Some properties and characterizations neutrosophic of singular modules are given. Also, different basic results about these modules are considered. Moreover; for a (R  I)-module; if NC(M I) over NC(R I), then NC(Z(M I)) ≤ NC(M I). Any neutrosophic simple module is either nonsingular or singular. On the other hand, if NC(RUI) has no zero divisors then NC(Z(MUI)) = NC(T(MUI)) where NC(T(MUI)) is a neutrosophic torsion module.  Finally, some definitions and properties of neutrosophic singular module have been presented in this article.

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Majid Mohammed Abed mail -
Abdulsalam F. Talak mail -
Firas N. Hameed mail
link https://doi.org/10.54216/IJNS.210403

Volume & Issue

Vol. Volume 21 / Iss. Issue 4

Details open_in_new

Neutrosophic exponentiated inverse Rayleigh distribution: Properties and Applications

In the field of survival analysis, the exponentiated inverse Rayleigh distribution is used to simulate lifetime data practices of human. In order to describe diverse survival data with indeterminacies, this work aims to create a generalization of the traditional pattern exponentiated inverse Rayleigh distribution, referred to as the neutrosophic exponentiated inverse Rayleigh distribution (NEIRD). In particular, modeling uncertain data that is roughly positively skewed makes use of the established distribution. The key statistical characteristics of the developed NEIRD, such as the neutrosophic survival function, neutrosophic hazard rate and neutrosophic moments, are discussed in this study. Additionally, in a neutrosophic well-known maximum likelihood estimation approach is used to estimate the neutrosophic parameters. A simulation study is conducted to determine whether the estimated neutrosophic parameters were achieved. Last but not least, real data has been used to discuss the potential NEIRD applications in the real world. The effectiveness of the suggested model in comparison to the existing distributions was demonstrated by real data.

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Mazin M. Alanaz mail -
Zakariya Yahya Algamal mail
link https://doi.org/10.54216/IJNS.210404

Volume & Issue

Vol. Volume 21 / Iss. Issue 4

Details open_in_new

Study of the Effectiveness of Hypopressive Abdominal Training as Physiotherapeutic Treatment in Lumbosciatica in Adults Using Neutrosophic Statistics

This work was developed at the Dr. Publio Escobar Gómez Hospital in Ecuador. The objective is to reduce pain and tone the abdominal and back muscles in adults with lumbosciatica through the application of hypopressive abdominal training to help reintroduce the adult to their work and social activities. We worked with a population of 25 male and female adult patients, with an age range from 30 to 50 years old. To process the collected data, we determined that classical statistics are too restrictive in terms of the hypotheses to fulfill. For example, the initial evaluation employing the Visual Analogue Scale (VAS) that assesses the intensity of pain is subjective and depends on the pain threshold of each patient, moreover, the size of the population is not large (<30), therefore it is not possible to carry out a study with the rigor required by classical statistics to infer. That is why we have decided to use neutrosophic statistics to process the data, which will consist of pain scales in the form of intervals, which will contain indeterminacy. The statistical test selected was the T-test for paired samples. In addition to the fact that neutrosophic statistics admit the principles of De Finetti's subjective probabilities and the statistics derived from it, where objective evidence through a random sample is not needed to reach valid conclusions.

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Lisbeth Josefina Reales C. mail -
Victoria E. Pastor mail -
Rosa E. Aldaz Sanchez mail -
Josselyn G. Bonilla Ayala mail
link https://doi.org/10.54216/IJNS.210405

Volume & Issue

Vol. Volume 21 / Iss. Issue 4

Details open_in_new

A Neutrosophic approach to Youth University Entrepreneurship in Peru, Based on the Indeterminate Likert Scale

This paper aims to determine the level of potential and effective capacity of university youth entrepreneurship in Peru, analyzed from the indicators of social skills, attitude towards opportunities, cognitive skills, positive self-assessment and continuity, and finally coping skills. The research was carried out in four public and private universities in the country (National Autonomous University of Huanta, National University San Cristóbal de Huamanga, Universidad Peruana los Andes, and Universidad Continental), and the sample was 120 students, 30 from each university. A survey of 50 questions was used, 25 of each dimension, the instrument was validated by expert judgment, with a very good applicability opinion. The authors of the article decided to replace the traditional Likert scale with an Indeterminate Likert Scale since in this way the opinion of the respondents is more accurately taken into account. The Indeterminate Likert Scale allows the respondent to give a degree of opinion in every one of the possible answers, instead of selecting a single answer. In this way, the respondent can more reliably express their feelings and thoughts that may contain contradictions. The survey was supported by a graph that allowed the respondents to make the evaluations without the need to delve into the neutrosophic theory. The survey data were statistically processed to carry out the study with the help of Spearman's rho coefficient.

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Ketty M. Moscoso-Paucarchuco mail -
Edgar Gutiérrez-Gómez mail -
M. Michael Beraún-Espíritu mail -
Rosa C. González-Ríos mail -
Mary A. Cárdenas-Bustamante mail
link https://doi.org/10.54216/IJNS.210406

Volume & Issue

Vol. Volume 21 / Iss. Issue 4

Details open_in_new

Neutrosophic Lindley distribution with application for Alloying Metal Melting Point

In the field of survival analysis, the Lindley distribution is used to mimic methods used with human lifespan data. A variety of survival statistics with indeterminacies are intended to be characterized by the neutrosophic Lindley distribution (NLD). In example, modeling unknown data that is roughly positively skewed makes use of the established distribution. The neutrosophic survival function, neutrosophic hazard rate, and neutrosophic moments are three of the developed NLD's major statistical features that are discussed in this article. Additionally, the well-known maximum likelihood estimation method is used to estimate the neutrosophic parameters. A simulation study is conducted to see whether the projected neutrosophic parameters were attained. Not to mention that discussions of prospective NLD real-world applications have made use of actual data. To demonstrate how well the suggested model performed in comparison to the existing distributions, actual data were used.

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Mazin M. Alanaz mail -
Marwah Yahya Mustafa mail -
Zakariya Yahya Algamal mail
link https://doi.org/10.54216/IJNS.210407

Volume & Issue

Vol. Volume 21 / Iss. Issue 4

Details open_in_new

Advancing Covid-19 Data Modeling: Introducing a Neutrosophic Extension of Ramous Louzada Distribution

In this research, we introduce a neutrosopic extension of the Ramous Louzada Distribution called the Inverse Ramous Louzada Distribution. We delve into several mathematical properties of this distribution, including the Survival function, Hazard Rate function, cumulative Hazard Rate function, and estimation technique. Moreover, we conduct a comparative analysis between the Inverse Weibull distribution and the traditional Ramous Louzada Distribution, which are two widely used distributions. Our aim is to assess the performance of the developed model through Maximum Likelihood Estimation (MLE), Standard Error (SE), and Goodness of Fit tests.

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Sundus Naji AL-Aziz mail -
Irsa Sajjad mail -
Javid Gani Dar mail -
Abd Al-Aziz H. EL Bagoury mail
link https://doi.org/10.54216/IJNS.210408

Volume & Issue

Vol. Volume 21 / Iss. Issue 4

Details open_in_new