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2023/2024 CAS Mathematics BS Assessment
No full texthttps://digitalrepository.unm.edu/provost_assessment/4295/thumbnail.jp
2023/2024 CFA FDA CriticalStudies BA Assessment
No full texthttps://digitalrepository.unm.edu/provost_assessment/4352/thumbnail.jp
A Tree Soft Set Framework for Evaluating Teaching Quality in University Physics Programs: Enhancing Precision and Decision-Making
No full textEducation in physics is at a crossroads. Numerous nations have middling or worse levels of scientific literacy, according to international research, and their students are viewed as being ill-equipped to handle the challenges going forward. The governmental level has acknowledged the necessity of high-quality development. The article focuses on evaluating physics education is taught and learned through experiments and real-world experiences. We propose a multi-criteria decision making (MCDM) approach to deal with various factors in evaluation of teaching quality in physics programs. We integrate the MCDM method with the Tree Soft Set (TSS) to show the relationship between the different nodes. The root node is the main objective in this study, the first level the main factors, and the second level is the sub factors. The MCDM is used with the single valued neutrosophic sets (SVNSs) to deal with vague data. We gathered five main factors and 15 sub factors in this equation. We compute the factors weights using the AHP method to build the pairwise comparison matrix to evaluate them
Neutrosophic Mean Estimators Using Extreme Indeterminate Observations in Sample Surveys
No full textIn classical statistics, research typically relies on precise data to estimate the population mean, especially when auxiliary information is available. However, in the presence of outliers, conventional statistical approaches that depend on accurate data and auxiliary information encounter challenges. The primary objective is to attain the most accurate population mean estimates while minimizing the mean square error. Neutrosophic statistics, a more attractive framework than classical statistics, deals with data characterized by imprecision and uncertainty. In this current article, we adapt S¨ arndal’s strategy and introduce neutrosophic mean estimators, applying them to meteorological data, specifically stratified dew point data. In these proposed estimators, the incorporation of auxiliary information and the application of robust techniques address issues that arise due to outliers and imprecise observations. These factors can otherwise undermine the effectiveness of neutrosophic estimation methods. The article also suggests combining auxiliary information with extremely indeterminate neutrosophic observations, utilizing robust regression methods (Huber-M, Hampel-M, and Tukey-M), as well as the quantile regression technique. These approaches enhance the neutrosophic mean estimation process. The outcomes, which include the utilization of dew point data, showcase the superior performance of the proposed estimators compared to adapted estimators in a neutrosophic context. Ultimately, this study provides valuable insights by taking an initial step in defining and utilizing the concept of neutrosophic indeterminate extreme observation
University Mathematics Classroom Teaching Quality Assessment Based on Core Competencies Using the DEMATEL Approach and Single-Valued Neutrosophic Hypersoft Sets
No full textThis study proposes a multi-criteria decision-making (MCDM) approach to evaluate the quality of University Mathematics Classroom Teaching based on core competencies. The MCDM approach is applied within the framework of the neutrosophic set to address vague and uncertain data. Unlike the hypersoft set, which handles multiple disjoint attribute-valued sets corresponding to various characteristics, the soft set operates with a single set of attributes. This study introduces the concept of Single-Valued Neutrosophic Hypersoft Expert Sets (SVNS), which integrate single-valued neutrosophic sets and hypersoft expert sets. Eight criteria were employed to construct the pairwise comparison matrix. The Decision-Making Trial and Evaluation Laboratory (DEMATEL) method was utilized to analyze the interrelationships among the criteria within the SVNS and hypersoft set frameworks. The results indicate that Conceptual Understanding utilizes the highest impact among the criteria
Enhanced Neutrosophic Set and Machine Learning Approach for Kidney Disease Prediction
No full textKidney disease (KD) is a gradually increasing global health concern. It is a chronic illness linked to higher rates of morbidity and mortality, a higher risk of cardiovascular disease and numerous other illnesses, and expensive medical expenses. The machine learning (ML) models are applied for KD prediction with higher accuracy and precision. The KD dataset has uncertainty and vague information, so, we used the neutrosophic set (NS) to deal with vague and uncertainty information in the KD dataset. The KD dataset is converted into the N-KD dataset with three membership functions: truth, indeterminacy, and falsity. Three ML models are used in this study such as logistic regression (LR), support vector machine (SVM), and k nearest neighbor (KNN). These ML models are applied to the N-KD dataset. The results show the LR has higher accuracy and precision on the N-KD dataset than the original KD dataset
Significado Neutrosófico: Partes comunes de cosas poco comunes y partes poco comunes de cosas comunes
No full textEsta investigación explora la Neutrosofía, un enfoque filosófico que se centra en la identificación de elementos comunes entre conceptos opuestos y en el análisis de las diferencias entre conceptos semejantes. En este contexto, se estudian las Partes Comunes a Cosas No Comunes, que se manifiestan cuando elementos como y \u3c antiA \u3e comparten aspectos en su intersección, y las Partes No Comunes a Cosas Comunes, donde conceptos iguales como y difieren al exhibir elementos únicos. Este análisis permite comprender mejor la neutralidad e indeterminación representada por \u3c neutA \u3e y \u3c neutB \u3e, situados entre sus respectivos opuestos. La investigación abarca diversas áreas como la Dialéctica, el Yin Yang, y teorías sociales como el Capitalismo y el Socialismo, así como enfoques en Psicoanálisis y Psicología analítica, destacando la Intención paradójica en la comprensión de fenómenos y teorías, desde la Democracia hasta la Terapia cognitivo-conductual y la Terapia psicodinámica
Some Types of HyperNeutrosophic Set (4): Cubic, Trapozoidal, q-Rung Orthopair, Overset, Underset, and Offset
No full textThis paper builds upon the foundational work presented in [38–40]. The Neutrosophic Set provides a comprehensive mathematical framework for managing uncertainty, defined by three membership functions: truth, indeterminacy, and falsity. Recent advancements have introduced extensions such as the Hyperneutrosophic Set and the SuperHyperneutrosophic Set, which are specifically designed to address increasingly complex and multidimensional problems. The formal definitions of these sets are available in [30]. In this paper, we extend the Neutrosophic Cubic Set, Trapezoidal Neutrosophic Set, q-Rung Orthopair Neutrosophic Set, Neutrosophic Overset, Neutrosophic Underset, and Neutrosophic Offset using the frameworks of the Hyperneutrosophic Set and the SuperHyperneutrosophic Set. Furthermore, we briefly examine their properties and potential applications