International Journal of Neutrosophic Science

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.

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.

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.

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.  

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.