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Full-Text Articles in Entire DC Network
Soft Directed N-Superhypergraphs With Some Real-World Applications, Takaaki Fujita, Florentin Smarandache
Soft Directed N-Superhypergraphs With Some Real-World Applications, Takaaki Fujita, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This paper introduces the Directed Soft Super Hyper Graph, a unified framework for modeling complex, multi-layered directed networks. It combines directionality, recursive hyperstructure, and soft-set parameterization to address the integration of Soft Super HyperGraphs and Directed SuperHyperGraphs, which remains largely unexplored. The paper provides formal definitions, core operations, and real-world examples, such as urban infrastructure and transportation networks, to demonstrate the framework's effectiveness in managing deep hierarchies and uncertain relationships simultaneously.
A Critical Evaluation Of The Criticisms Against Neutrosophic Statistical Methods, Muhammad Aslam, Abdulrahman Alaita, Florentin Smarandache
A Critical Evaluation Of The Criticisms Against Neutrosophic Statistical Methods, Muhammad Aslam, Abdulrahman Alaita, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Neutrosophic statistical analysis has gained attention for incorporating the degree of indeterminacy when analyzing imprecise and interval data under uncertainty—an aspect often overlooked by classical statistics, fuzzy statistical analysis, and interval statistics. Recently, critical discussions have emerged regarding the use and applications of neutrosophic statistics, with some questioning its usefulness and validity. In this paper, we present a critical assessment of the existing literature, focusing on areas where misunderstandings and misinterpretations of neutrosophic statistical methods have occurred. We also examine flawed comparisons made between the results of neutrosophic statistics and interval statistics. Furthermore, substantial issues have been identified in the …
A Neutrosophic Approach To Social Phenomena, Florentin Smarandache
A Neutrosophic Approach To Social Phenomena, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Sociology has long sought to understand human societies and the social behaviors within them. It explores the organization, structure, dynamics, and transformations of society over time. However, traditional sociological methods face significant challenges in addressing the complexity and indeterminacy inherent in social data—data that is often ambiguous, incomplete, and contradictory. The Neutrosociology offers a novel approach to studying and modeling social phenomena by employing mathematical and philosophical tools that can accommodate uncertainty.
A Family Of Neutrosophic Estimators For Estimating Mean: An Application To Real Data, Bavita Singh, Abhishek Singh, Florentin Smarandache
A Family Of Neutrosophic Estimators For Estimating Mean: An Application To Real Data, Bavita Singh, Abhishek Singh, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
In the realm of sample survey research, the classical statistics approach primarily deals with precise and definitive types of data to estimate population parameters when additional information is available. However, this approach fails when faced with data indeterminacies. To address such ambiguities, neutrosophic statistics emerges as an extension of both fuzzy and classical statistics. Thus, in light of the challenges posed by indeterminacy in sampling, we have introduced a proficient neutrosophic class of estimators, with and without Searls technique (optimization tool) for estimating the mean utilizing additional (ancillary) information under neutrosophic simple random sampling (NeSRS). The expression for the Bias …
A Comparative Analysis Of Data-Driven And Model-Based Neutrosophication Methods: Advancing True Neutrosophic Logic In Medical Data Transformation, Maikel Yelandi Leyva Vázquez, Lorenzo Cevallos-Torres, Omar Mar Cornelio, Florentin Smarandache
A Comparative Analysis Of Data-Driven And Model-Based Neutrosophication Methods: Advancing True Neutrosophic Logic In Medical Data Transformation, Maikel Yelandi Leyva Vázquez, Lorenzo Cevallos-Torres, Omar Mar Cornelio, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Neutrosophic logic extends fuzzy logic by explicitly modeling indeterminacy (I), offering a robust framework for uncertainty representation. The transformation of crisp data into neutrosophic triplets {T, I, F}—known as neutrosophication—is crucial for applying neutrosophic models in real-world analysis. However, comparative evaluations of existing neutrosophication methods remain limited. This study presents a systematic comparison of five approaches: three model-based methods (Parabolic, Threshold Distance, Fuzzy Membership), one density-based method (Kernel Density Estimation), and a proposed data-driven K-Means clustering method integrating sigmoid membership functions. Using a medical dataset of 299 patients and six continuous clinical variables, we assessed statistical behavior, consistency, and alignment …
Neutrosophic Stance Detection And Fsqca-Based Necessary Condition Analysis For Causal Hypothesis Assessment In Ai-Enhanced Learning, Jesús Rafael Hechavarría-Hernández, Maikel Y. Leyva Vazquez, Florentin Smarandache
Neutrosophic Stance Detection And Fsqca-Based Necessary Condition Analysis For Causal Hypothesis Assessment In Ai-Enhanced Learning, Jesús Rafael Hechavarría-Hernández, Maikel Y. Leyva Vazquez, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This study addresses the ambiguities in empirical findings on artificial intelligence (AI) in education by proposing a new methodological framework that combines neutrosophic stance detection and Fuzzy Set Qualitative Comparative Analysis (fsQCA). This approach explicitly models truth, indeterminacy, and falsity, allowing for the synthesis of contradictory research. The authors evaluated four causal hypotheses related to AI-based learning, using a survey of 24 university participants to explore the necessary conditions for perceived learning improvements. The results indicate that the digital divide is a perfectly necessary condition for effective AI-enhanced learning. The findings also reveal that AI feedback and AI platform use …
A Neutrosophic Exploration Of Creative Ideational Dynamics, Florentin Smarandache
A Neutrosophic Exploration Of Creative Ideational Dynamics, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Philosophy has always tried to illuminate the complexity of existence, but often faced its own paradoxes. The emergence of philosophical schools and concepts, along with their arguments, reflect the dynamic interaction of ideas. This short note explores some nuanced principles governing philosophical thought, summarized in the proposed “philosophical formulas.” These formulas are intended to mathematically and conceptually express the tensions, complementarities, and movements intrinsec in a given philosophical system.
Beyond Dialectics, Paradoxes, And Binary Logic, Florentin Smarandache
Beyond Dialectics, Paradoxes, And Binary Logic, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Philosophy, long defined by its pursuit of truth, has historically been a battleground for dichotomies: truth vs. falsehood, materialism vs. idealism, reason vs. emotion. These oppositions often provide a framework for understanding philosophical discourse, but they fail to capture the full nuances of reality. To challenge these binary oppositions, I introduced the neutrosophic perspective in philosophy, rooted in Mathematics, and Many-Valued Logics.1 By emphasizing the interrelation of affirmation, negation, and neutrality, neutrosophy allows for the reconciliation of seemingly irreconcilable viewpoints, providing a new lens through which to reinterpret age-old philosophical questions.
Competition Super-Hypergraphs: Revealing Hierarchical Competition In Real-World Networks, Takaaki Fujita, Florentin Smarandache
Competition Super-Hypergraphs: Revealing Hierarchical Competition In Real-World Networks, Takaaki Fujita, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Graph theory provides a powerful language for modeling pairwise connections through vertices and edges [9, 20]. Hypergraphs generalize this idea by permitting hyperedges that join any number of vertices simultaneously [7], while super-hypergraphs iterate the Power-set operation to capture multi-level, hierarchical relationships among hyperedges [40, 22]. A competition hypergraph associates each prey species with a hyperedge containing all its predators, thereby encoding multi-way competition in ecological networks. In this work, we introduce the competition super-hypergraph, which lifts the competition concept to higher tiers of aggregation. We present its formal definition, explore theoretical properties, and illustrate its practical use in real-world …
Cvitlnn: A Hybrid Approach Based On Vision Transformer And Liquid Neural Network For Covid-19 Detection, Muhammad Waqaq, Florentin Smarandache, Muhammad Yasir, Farrukh Arslan, Anum Ali
Cvitlnn: A Hybrid Approach Based On Vision Transformer And Liquid Neural Network For Covid-19 Detection, Muhammad Waqaq, Florentin Smarandache, Muhammad Yasir, Farrukh Arslan, Anum Ali
Branch Mathematics and Statistics Faculty and Staff Publications
The COVID-19 pandemic has underscored the need for accurate and rapid diagnostic tools to assist clinical decision-making. Conventional deep learning models for COVID-19 detection in Chest X-Ray (CXR) images face challenges in poor generalization across imaging conditions and high computational demands. To address these issues, this study proposes CviTLNN, a novel hybrid model combining Vision Transformers (ViTs) and Liquid Neural Networks (LNNs) to improve feature extraction and classification. Specifically, CviTLNN employs a ViT with 24 transformer encoder blocks for efficient extraction of spatial features. The self-attention mechanism of ViTs effectively captures global and local dependencies in CXR images. Furthermore, …
Proximal Tibia Biplanar Anterior And Lateral Closing Wedge Osteotomy With Concomitant Revision Anterior Cruciate Ligament Reconstruction: A Case Report, Shane H. Johns, Lisandro Nardin, Jessica A. Nelson, Robert Schenck
Proximal Tibia Biplanar Anterior And Lateral Closing Wedge Osteotomy With Concomitant Revision Anterior Cruciate Ligament Reconstruction: A Case Report, Shane H. Johns, Lisandro Nardin, Jessica A. Nelson, Robert Schenck
Western Journal of Orthopaedics
This report documents a unique, successful strategy to manage a failed anterior cruciate ligament reconstruction (ACLR) in the setting of coronal and sagittal plane malalignment. The patient is a 38-year-old man with a history of a failed ACLR who presented with recurrent knee instability. Imaging revealed a posterior tibial slope (PTS) of 17° complicated by a varus malalignment of 10°. A single-stage anterior and lateral closing wedge tibial osteotomy (biplanar) with simultaneous revision anterior cruciate ligament reconstruction was performed. Final radiographic evaluation revealed that the tibial osteotomy healed with correction of coronal alignment to a physiologic 3° varus and a …
Archiving Erasure: Trans Absence In The Bennett Hammer Lgbt Collection, Isaac Suarez Flint
Archiving Erasure: Trans Absence In The Bennett Hammer Lgbt Collection, Isaac Suarez Flint
2026 Award Winners
No abstract provided.
Creativity As Activism: Girl Zines And The Redefining Of Modern Feminism, Alina Barney
Creativity As Activism: Girl Zines And The Redefining Of Modern Feminism, Alina Barney
2026 Award Winners
No abstract provided.
'Spatial Solutions: Examining The Intersections Of Design, Policy, And The Housing Affordability Crisis In New Mexico', Maya E. Jio
2026 Award Winners
No abstract provided.
The Sublimity Of Vampirism And Vampiric Transformation In Stoker’S Dracula, Raychel Giles
The Sublimity Of Vampirism And Vampiric Transformation In Stoker’S Dracula, Raychel Giles
2026 Award Winners
No abstract provided.
A Refined Dual-Valued Neutrosophic Copras-Based Approach For Holistic Evaluation Of English Teaching Standards, Peng Tong, Bin Xie
A Refined Dual-Valued Neutrosophic Copras-Based Approach For Holistic Evaluation Of English Teaching Standards, Peng Tong, Bin Xie
Neutrosophic Sets and Systems
The evaluation of college English teaching (CET) quality helps to improve teaching standards, ensure the achievement of teaching objectives, and enhance students' language skills and overall competence. Through feedback from evaluations, teachers can refine their teaching methods, optimize course design, and meet students' needs. Additionally, teaching quality evaluation promotes the professional development of teachers, facilitates the rational allocation of educational resources, and ensures effective teaching outcomes. The evaluation of CET quality in vocational colleges in the new era involves the multiple-attribute decision-making (MADM) process. Currently, COPRAS methods are employed to address Multi-Attribute Decision-Making (MADM) challenges. To handle uncertain data in …
An Efficient Neutrosophic Weighted Sum Approach With Insights Into Engineering Project Management Performance Assessment, Rong Yan, Yongguang Han, Liqing Hao
An Efficient Neutrosophic Weighted Sum Approach With Insights Into Engineering Project Management Performance Assessment, Rong Yan, Yongguang Han, Liqing Hao
Neutrosophic Sets and Systems
Project engineering management performance evaluation is a systematic assessment of various tasks in the project management process to measure performance in areas such as efficiency, quality, schedule, and cost control. Through evaluation, strengths and weaknesses in management can be identified, ensuring the achievement of project objectives and optimizing resource allocation. This evaluation not only helps improve the overall management level of engineering projects but also provides valuable experience and insights for future projects, thereby facilitating smooth implementation and successful delivery. The project engineering management performance evaluation is multiple-attribute decision-making (MADM). Recently, the weighted sum method (WSM) method has been established …
Hslic Annual Report Fy2024-25, University Of New Mexico Health Sciences Library And Informatics Center
Hslic Annual Report Fy2024-25, University Of New Mexico Health Sciences Library And Informatics Center
HSLIC Annual Reports
Annual report for FY 2024-2025.
Neutrosophic Circular-Arc Graphs And Proper Circular-Arc Graphs, Takaaki Fujita, Florentin Smarandache
Neutrosophic Circular-Arc Graphs And Proper Circular-Arc Graphs, Takaaki Fujita, Florentin Smarandache
Neutrosophic Sets and Systems
Graph theory is a fundamental branch of mathematics that studies networks made up of nodes (vertices) and connections (edges). A key concept in graph theory is the intersection graph, where vertices represent sets, and edges are drawn between vertices if their corresponding sets intersect. A circular-arc graph specifically models the intersections of arcs on a circle, with vertices corresponding to the arcs and edges existing between intersecting arcs. This paper delves into the study of circular-arc graphs within the frameworks of fuzzy, intuitionistic fuzzy, neutrosophic, and Turiyam Neutrosophic graphs, all of which incorporate uncertainty into graph structures. Additionally, we examine …
Modified Waspas Technique For Triangular Fuzzy Neutrosophic Number Multiple-Attribute Decision-Making To Safe Operation Risk Assessment Of Batteries In Energy Storage Power Stations, Lunsen Zou, Zhiqiang Wang, Jin Wang, Linwei Wang, Liangrui Zhou
Modified Waspas Technique For Triangular Fuzzy Neutrosophic Number Multiple-Attribute Decision-Making To Safe Operation Risk Assessment Of Batteries In Energy Storage Power Stations, Lunsen Zou, Zhiqiang Wang, Jin Wang, Linwei Wang, Liangrui Zhou
Neutrosophic Sets and Systems
With the proposal of China's "dual carbon" goals and the rapid development of the energy storage industry, in recent years, there have been more and more reports on safety accidents of energy storage power stations in the application of the energy storage industry. It can be seen that the pressure and safety hazards of the safe operation of energy storage power stations have significantly increased, and safety issues have become the main bottleneck restricting the good development of the energy storage industry. The safe operation risk assessment of batteries in energy storage power stations could be considered (MADM). Recently, the …
An Approach To Numerical Solutions For Refined Neutrosophic Differential Problems Of High-Orders, Ahmed Salem Heilat
An Approach To Numerical Solutions For Refined Neutrosophic Differential Problems Of High-Orders, Ahmed Salem Heilat
Neutrosophic Sets and Systems
The main goal of this paper is to studying a new numerical method for finding the refined neutrosophic numerical solutions to some refined neutrosophic differential problems of high orders. We use high-degrees refined neutrosophic polynomials to get the approximated solutions, where we apply our method on two different refined neutrosophic boundary value problems with numerical tables to compare the novel findings with classical ones.
Lagrange-Integrated Gra Model For Urban Landscape Sculpture Site Selection With Neutrosophic Decision-Making, Qiwei Liu, Jiayin Li, Chang Liu
Lagrange-Integrated Gra Model For Urban Landscape Sculpture Site Selection With Neutrosophic Decision-Making, Qiwei Liu, Jiayin Li, Chang Liu
Neutrosophic Sets and Systems
Urban landscape sculpture plays a crucial role in preserving cultural heritage, enhancing city vitality, and reflecting the lives of urban citizens. With the continued development of landscape sculpture in modern urban environments, the process of site selection has become increasingly important. A well-chosen location can establish a positive interaction between sculptures and urban activities. Traditionally, site selection methods have been largely theoretical, lacking quantitative foundations, which made practical application challenging for designers. To address this, site selection for urban landscape sculptures can be approached as a multiple-attribute decision-making (MADM) problem. Grey Relational Analysis (GRA) is an effective method for handling …
Enhanced Madm Strategy With Heptapartitioned Neutrosophic Distance Metrics, Mohamed Eassa, M. Myvizhi, Mohamed Elkholy, Ahmed Abdelhafeez, Hussam Elbehiery
Enhanced Madm Strategy With Heptapartitioned Neutrosophic Distance Metrics, Mohamed Eassa, M. Myvizhi, Mohamed Elkholy, Ahmed Abdelhafeez, Hussam Elbehiery
Neutrosophic Sets and Systems
In this work, a novel methodological approach to multi-attribute decision-making problems is developed and the notion of Heptapartitioned Neutrosophic Set Distance Measures (HNSDM) is introduced. By averaging the Penta-Partitioned Neutrosophic Distance Measures under particular conditional criteria, the suggested technique ranks the options. Additionally, we explore the fundamental characteristics of HNSDM and provide several illustrative theorems. The Heptapartitioned Neutrosophic Set Distance Measures are formulated based on the Hepta Neutrosophic Set. Lastly, a practical numerical example is provided to illustrate the efficacy of the suggested methodology.
Correlation And Regression Coefficients Of Neutrosophic Graph Products Using Minimum Spanning Tree For Enhancing Healthcare Strategies, A. Meenakshi, Shivangi Mishra J
Correlation And Regression Coefficients Of Neutrosophic Graph Products Using Minimum Spanning Tree For Enhancing Healthcare Strategies, A. Meenakshi, Shivangi Mishra J
Neutrosophic Sets and Systems
This paper investigates the correlation and regression coefficients (CRCs) of single-valued neutro sophic graph products (SVNGPs) with a focus on the minimum spanning tree (MST) and their applications in enhancing healthcare strategies. Single-valued neutrosophic Graph (SVNG) is an extension of traditional graph theory that uses neutrosophic logic to solve uncertainties and indeterminacy. We have introduced the modular and strong products of SVNGs and calculated the CRCs with and without using MST to evaluate the relationships within healthcare networks. A comparative analysis has been done for CRCs with and without MST which helps to increase the accuracy and efficiency of CRCs. …
A Cross-Entropy-Based Framework Using Hypersoft Type-2 Neutrosophic Numbers For Innovation Capability Evaluation In Central Cities Of Emerging Economies, Xiangke Zhang, Shoukui He, Xu Chen
A Cross-Entropy-Based Framework Using Hypersoft Type-2 Neutrosophic Numbers For Innovation Capability Evaluation In Central Cities Of Emerging Economies, Xiangke Zhang, Shoukui He, Xu Chen
Neutrosophic Sets and Systems
The comprehensive evaluation of innovation capabilities in central cities of emerging countries is essential for promoting regional economic growth. This evaluation examines various factors, such as scientific activities, innovation infrastructure, talent resources, and policy environments, offering insights into the current innovation landscape and future potential. By guiding the allocation of resources and optimizing innovation policies, it fosters the transformation of technological achievements and accelerates urban economic transformation and sustainable development. Moreover, it helps cities attract investment and skilled talent, enhancing their competitiveness and influence. This evaluation is a multi-attribute decision-making (MADM) challenge, for which the cross-entropy method has been recently …
Utilizing Cocoso And Interval Neutrosophic Magdm With Superhypersoft For Competitiveness Assessment In Rural Tourism Of Surrounding Cities, Aiping Cui, Zhiyao Liu
Utilizing Cocoso And Interval Neutrosophic Magdm With Superhypersoft For Competitiveness Assessment In Rural Tourism Of Surrounding Cities, Aiping Cui, Zhiyao Liu
Neutrosophic Sets and Systems
With rising living standards, rural tourism near cities has rapidly developed, playing a key role in the sustainable development of urban economies and societies. Factors like ecological environment, historical and cultural resources, and landscape significantly influence the competitiveness of rural tourism. However, current research on this topic is still in its early stages, with a focus on tourism benefits to cities, often overlooking other impacts. Rural tourism boosts employment, promotes rural industries, and increases farmers' incomes, accelerating rural urbanization and economic growth. Therefore, evaluating the competitiveness of rural tourism near cities is essential for its development. The evaluation of rural …
A Novel Approach To Assessing Art Education Teaching Quality In Vocational Colleges Based On Double-Valued Neutrosophic Numbers And Multi-Attribute Decision-Making With Tree Soft Sets, Heng He
Neutrosophic Sets and Systems
To promote stable and sustainable growth in vocational education, it is crucial to innovate and adapt the teaching methods of art education to align with modern educational trends. A comprehensive analysis of the art education curriculum is necessary to drive reform and modernize teaching methodologies, ensuring the continued relevance and effectiveness of art instruction. By updating art education, students can enhance their aesthetic appreciation, develop a refined understanding of high-quality artworks, and experience consistent growth in their artistic development. Moving beyond traditional teaching models is essential for the ongoing advancement of art education in vocational colleges. The evaluation of teaching …
A Novel Analysis On The Perception Of Physical Environmental Quality: An In-Depth Study Comparing The Neutrosophic Likert Scale With Score Function And The Classic Likert Scale - Statistical Analysis Of Data From A Restaurant Survey, Seher Bodur, Serpil Kaya, Selçuk Topal
A Novel Analysis On The Perception Of Physical Environmental Quality: An In-Depth Study Comparing The Neutrosophic Likert Scale With Score Function And The Classic Likert Scale - Statistical Analysis Of Data From A Restaurant Survey, Seher Bodur, Serpil Kaya, Selçuk Topal
Neutrosophic Sets and Systems
There are studies examining the quality of the physical environment in the restaurant industry. However, these studies have only been conducted using Likert scale. Since the neutrosophic scale has not been used in the restaurant industry before, it is considered to be an important gap. For this reason, it is aimed to investigate the perceptions of physical environmental quality in restaurants by using Likert and neutrosophic scales for the first time. By applying Exploratory Factor Analysis, evidence is presented that a single factor adequately incorporates both scales, thus optimising the assessment procedure. Their consistency and reliability in assessing environmental perceptions …
A Python Framework Enhancement For Neutrosophic Topologies, Giorgio Nordo, Saeid Jafari, Maikel Yelandi Leyva V Azquez
A Python Framework Enhancement For Neutrosophic Topologies, Giorgio Nordo, Saeid Jafari, Maikel Yelandi Leyva V Azquez
Neutrosophic Sets and Systems
This paper introduces an extension to the Python Neutrosophic Sets (PYNS) framework, originally detailed in [13], with the addition of the NSfamily class for constructing and manipulating neutrosophic topologies. Building on existing classes like NSuniverse and NSset, the NSfamily class enables the definition and testing of neutrosophic families as basis and sub-basis for neutrosophic topological spaces. This extension provides tools for verifying closure properties under union and intersection, and for determining whether a given family constitutes a neutrosophic topology. Through implemented algorithms, the framework automates the generation of topologies from families of neutrosophic sets, offering an efficient tool for advancing …
A Triangular Fuzzy Neutrosophic Model For Assessing And Optimizing Educational Quality In University Badminton Initiatives: A Comprehensive Study, Yi Zheng, Jun Chen
A Triangular Fuzzy Neutrosophic Model For Assessing And Optimizing Educational Quality In University Badminton Initiatives: A Comprehensive Study, Yi Zheng, Jun Chen
Neutrosophic Sets and Systems
The evaluation of teaching quality in public badminton classes at general universities primarily considers students' learning outcomes, teachers' teaching abilities, class organization, and the appropriateness of the teaching content. Evaluation criteria include students' mastery of skills, participation, interest development, and teachers' teaching methods, classroom management, and interaction effectiveness. By combining quantitative and qualitative approaches, the evaluation aims to assess teaching quality, promote improvements, enhance students' physical fitness and sports skills, and support teachers' professional development and improvement of teaching standards. The teaching quality evaluation of public badminton classes at general universities is a multi-attribute decision-making (MADM). In this paper, a …