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Articles 1141 - 1170 of 3417
Full-Text Articles in Entire DC Network
Reconsideration Of Neutrosophic Social Science And Neutrosophic Phenomenology With Non-Classical Logic, Takaaki Fujita, Florentin Smarandache
Reconsideration Of Neutrosophic Social Science And Neutrosophic Phenomenology With Non-Classical Logic, Takaaki Fujita, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Body-Mind-Soul-Spirit Fluidity is a concept rooted in psychology and phenomenology, offering significant insights into human decision-making and well-being. Similarly, in social analysis and social sciences, frameworks such as PDCA, DMAIC, SWOT, and OODA have been established to enable structured evaluation and effective p roblem-solving. Furthermore, in phenomenology and social sciences, various logical systems have been developed to address specific objectives and practical applications. This paper extends these concepts using the Neutrosophic theory, revisiting their mathematical definitions and exploring their properties. The Neutrosophic Set, an extension of the Fuzzy Set, is a highly flexible framework that has been widely studied in …
Artificial Intelligence, Society 5.0 And Smart City Adaptation Initiatives For Businesses: An Integrated Approach, Inês A.M. Gil, Fernando A.F. Ferreira, Neuza C.M.Q.F. Ferreira, Florentin Smarandache, Momtaj Khanam, Tugrul Daim
Artificial Intelligence, Society 5.0 And Smart City Adaptation Initiatives For Businesses: An Integrated Approach, Inês A.M. Gil, Fernando A.F. Ferreira, Neuza C.M.Q.F. Ferreira, Florentin Smarandache, Momtaj Khanam, Tugrul Daim
Branch Mathematics and Statistics Faculty and Staff Publications
The unprecedented migration of populations to urban areas has created major challenges for municipalities and service providers. To address these issues, decision-makers must embrace smart city and Society 5.0 paradigms, both of which focus on adaptability and sustainable development. Artificial intelligence (AI) plays a pivotal role by expanding service capacity, enabling automation, and processing vast data to align urban development with the UN’s Sustainable Development Goals (SDGs). This paper develops a multi-criteria analysis system designed to support decision-making in complex socio-technological contexts. Using cognitive mapping and the Decision-Making Trial and Evaluation Laboratory (DEMATEL) technique within a neutrosophic environment, the study …
Modelado Causal De La Violencia En El Área Metropolitana De Guayaquil: Evidencia Neutrosófica Y Análisis De Condiciones Necesarias, Maikel Y. Leyva Vázquez, Lorenzo Cevallos-Torres, Alfonso Guijarro Rodríguez, Douglas Iturburu-Salvador, Florentin Smarandache
Modelado Causal De La Violencia En El Área Metropolitana De Guayaquil: Evidencia Neutrosófica Y Análisis De Condiciones Necesarias, Maikel Y. Leyva Vázquez, Lorenzo Cevallos-Torres, Alfonso Guijarro Rodríguez, Douglas Iturburu-Salvador, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
La violencia urbana en el área metropolitana de Guayaquil plantea desafíos persistentes para el bienestar social y la gobernanza. Este estudio integra tres fuentes de evidencia para clarificar qué factores son necesarios y qué niveles mínimos habilitan altos niveles de violencia. Primero, se aplica stance detection con representación neutrosófica para construir un prior (T, I, F) de la literatura. Luego, evaluamos condiciones necesarias mediante fsQCA (inclusión difusa 𝑌⊆𝑋, umbral de consistencia ≥ 0.90) y estimamos umbrales (bottlenecks) con NCA (CE-FDH, CR-FDH, permutaciones). Usamos la misma matriz fuzzy en ambos métodos para asegurar coherencia. Con una encuesta a 179 jóvenes de …
Ppg-Based Sleep Stage Classification Using Pulse Wave Feature Fusion And Explainable Ai, Florentin Smarandache, Satyasri Akula, Saleh Alzahrani, Farrukh Arslan, Amir Ijaz
Ppg-Based Sleep Stage Classification Using Pulse Wave Feature Fusion And Explainable Ai, Florentin Smarandache, Satyasri Akula, Saleh Alzahrani, Farrukh Arslan, Amir Ijaz
Branch Mathematics and Statistics Faculty and Staff Publications
Sleep monitoring plays a crucial role in understanding and managing various health conditions, including sleep disorders, cardiovascular diseases, and mental health. Traditional sleep monitoring methods rely on Electroencephalography (EEG) and Polysomnography (PSG) in clinical settings. However, these methods are expensive, difficult to administer, and unsuitable for home-based monitoring. In recent years, photoplethysmogram (PPG) has emerged as a promising noninvasive technology that is widely used in wearable devices and holds great potential for sleep assessment. Yet, most current sleep monitoring methods rely on deep learning models, which are inherently "black-box" and challenging in the clinical decision-making process. In this paper, we …
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 …
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 …
Approches Neutrosophiques Et Plithogéniques En Science Des Données Et Analyse Multivariée : Contributions De La Ixe Réunion Ibéro-Américaine De Biométrie, Florentin Smarandache, Maikel Y. Leyva Vázquez, Mohamed Abdel-Basset
Approches Neutrosophiques Et Plithogéniques En Science Des Données Et Analyse Multivariée : Contributions De La Ixe Réunion Ibéro-Américaine De Biométrie, Florentin Smarandache, Maikel Y. Leyva Vázquez, Mohamed Abdel-Basset
Branch Mathematics and Statistics Faculty and Staff Publications
Ce numéro spécial de "Neutrosophic Sets and Systems" rassemble une sélection de travaux remarquables présentés lors de la IXe Réunion Ibéro-américaine de Biométrie, qui a eu lieu les 8 et 9 juillet 2025 à Quito, en Équateur. Sous la direction d'une équipe éditoriale de prestige, ce volume explore l'application des approches neutrosophiques et plithogéniques dans divers domaines tels que la biométrie, la bioinformatique, la santé publique, l'éducation et l'économie. Les articles mettent en lumière la convergence entre les statistiques classiques et l'intelligence artificielle, illustrant comment les méthodes neutrosophiques offrent des outils puissants pour modéliser l'incertitude et la complexité des données …
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, …
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 Neutrosophic Fixed Charge Multi-Objective 4 Dimensional Multi-Item Transportation Problem With Carbon Emission And Budget Constraints, A.N. Revathi, S. Mohanaselvi
A Neutrosophic Fixed Charge Multi-Objective 4 Dimensional Multi-Item Transportation Problem With Carbon Emission And Budget Constraints, A.N. Revathi, S. Mohanaselvi
Neutrosophic Sets and Systems
This paper seeks to address 4-dimensional transportation challenges by integrating budget con straints, vehicle speed, carbon emissions, and optimizing for maximum profit and minimum time. The rising number of vehicles, varying road conditions, and diverse vehicle types used to meet daily needs have exacerbated issues like global warming and greenhouse gas (GHG) emissions. Our goal is to reduce carbon emissions for a cleaner environment. Single-objective, single-item transportation systems are often insufficient for scenarios with multiple criteria. Thus, we adopt a multi-objective, multi-item decision-making approach to tackle real-life transportation problems. Practical challenges frequently involve uncertainties stemming from time pressures, insufficient data, …
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 …
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 …
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. …
, Superhypersoft-Driven Evaluation Of Smart Transportation In Centroidous-Moosra: Real-World Insights For The Uav Era, Mona Mohamed, Ahmed M. Abdelmouty, Khalid Mohamed, Florentin Smarandache
, Superhypersoft-Driven Evaluation Of Smart Transportation In Centroidous-Moosra: Real-World Insights For The Uav Era, Mona Mohamed, Ahmed M. Abdelmouty, Khalid Mohamed, Florentin Smarandache
Neutrosophic Sets and Systems
Over recent decades unmanned aerial vehicles (UAVs) have significantly impacted many areas and applications that affect our daily lives. Such as transportation, healthcare, and agricultural surveillance and management. Along with intelligently digitizing these sectors. Hence, this study focuses on exhibiting UAVs' contributions to transportation systems to be smart. An intelligent decision-maker framework is constructed to evaluate smart transportation systems (STSs) that leverage UAVSs in their operations. Preferencing candidates of STSs conduct the evaluation process based on a set of criteria and attributes. Moreover, the new multi-criteria decision-making (MCDM) of centroidous to obtain criteria attribute weights. As well as Multi-objective optimization …
Enhancing Neutrosophic Data Analysis: A Review Of Neutrosophic Measures And Applications With Neutrostat, Zahid Khan, Katrina Lane Krebs
Enhancing Neutrosophic Data Analysis: A Review Of Neutrosophic Measures And Applications With Neutrostat, Zahid Khan, Katrina Lane Krebs
Neutrosophic Sets and Systems
Neutrosophic statistical measures analyze data that is not fully determined, often due to imprecise observations. This type of data presents a major concern in neutrosophic statistics. The existing literature cat egorizes neutrosophic measures into two types: descriptive and inferential, aiming to broaden the categorization of statistics in these two major areas. Every statistical measure can be contextualized within the neutrosophic framework by acknowledging the inherent imprecision, vagueness, or not fully defined. In this study, the major focus is on reviewing existing neutrosophic measures rather than proposing new ones. The aim is to enhance current neutrosophic structures to make them more …
A Robust Neutrosophic Model For Risk Management In Livestock Supply Chains: A Case Study Towards Sustainable Practices, Abdullah Ali Salamai
A Robust Neutrosophic Model For Risk Management In Livestock Supply Chains: A Case Study Towards Sustainable Practices, Abdullah Ali Salamai
Neutrosophic Sets and Systems
This study proposed a decision machining methodology to identify and evaluate the risks based on the livestock supply chain (LSC). The risks related to LSC are identified and collected by the opinion of the experts and decision-makers. We collected 11 LSC criteria and nine alternatives. We proposed an uncertainty framework to deal with uncertainty and vague information in the evaluation process. We used the type-2 neutrosophic set (T2NSs) to deal with vague data. The T2NSs were proposed under multi objective optimization based on simple ratio analysis (MOOSRA) to rank the alternatives. We identified nine strategies to reduce risks in LSC. …
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 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 …
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 …
On Schur Complement In K-Kernel Symmetric Block Quadri Partitioned Neutrosophic Fuzzy Matrices, K. Radhika, T. Harikrishnan, R. Ambrose Prabhu, P. Tharaniya, M.John Peter, M. Anandhkumar
On Schur Complement In K-Kernel Symmetric Block Quadri Partitioned Neutrosophic Fuzzy Matrices, K. Radhika, T. Harikrishnan, R. Ambrose Prabhu, P. Tharaniya, M.John Peter, M. Anandhkumar
Neutrosophic Sets and Systems
In this paper, we present equivalent characterizations of k-kernel symmetric (k-KS) Quadri Partitioned Neutrosophic Fuzzy Matrices (QPNFMs). Additionally, we establish the necessary and sufficient conditions for the Schur complement (SC) within a k-KS QPNFM to be k-symmetric. The study also offers equivalent characterizations of both KS and k-KS QPNFMs. A few fundamental examples of KS QPNFMs are provided to clarify these concepts. It is shown that although k-symmetry implies k-KS, the converse does not necessarily hold. Several fundamental properties of k-KS QPNFMs are also derived. Finally, decision-making model utilizing QPNSMs has been successfully developed and validated through its application to …
A Study On Continuity Functions In Neutro-Topological Spaces, Bhimraj Basumatary, Jeevan Krishna Khaklary
A Study On Continuity Functions In Neutro-Topological Spaces, Bhimraj Basumatary, Jeevan Krishna Khaklary
Neutrosophic Sets and Systems
The specific purpose of this study is to define continuity of mappings in neutro-topological spaces using neutro-open and neutro-closed sets and analyze the properties of continuous functions that are true in classical topological spaces in the neutro-topological space. Neutro-interior and neutro-closure in neutro-topological spaces have some properties that are somewhat different from those in classical topological spaces. However, with the definition of a new form of continuity, termed as weakly neutro-continuity, much of the properties of continuous functions could be established in neutro-topological spaces. Neutro-open map and neutro-closed maps are also defined on the basis of neutro-open and neutro-closed sets. …
Solving The Shortest Path Based On The Traveling Salesman Problem With A Genetic Algorithm In A Fermatean Neutrosophic Environment, Prasanta Kumar Raut, Surapati Pramanik, Deepak Kumar Mohapatra, Srikanta Kumar Sahoo
Solving The Shortest Path Based On The Traveling Salesman Problem With A Genetic Algorithm In A Fermatean Neutrosophic Environment, Prasanta Kumar Raut, Surapati Pramanik, Deepak Kumar Mohapatra, Srikanta Kumar Sahoo
Neutrosophic Sets and Systems
The Traveling Salesman Problem (TSP) is one of the most significant and well-known optimization problem that is frequently limited by uncertainty in edge lengths. Existing methods fail to effectively model and solve such problems in uncertain environments. To address this gap, we propose a novel approach that combines a genetic algorithm (GA) with Fermatean neutrosophic numbers to provide a more robust representation of uncertainty. This work presents a comprehensive framework for evaluating the shortest path in a given network by precisely characterizing uncertain edge lengths. The proposed methodology is tested on various TSP scenarios of varying complexities, demonstrating its ability …
Quality Assessment In Higher Education Management Using The Modified Marcos Method With Double-Valued Neutrosophic Numbers: A Case Study, Haihua Ding, Haifeng Chen
Quality Assessment In Higher Education Management Using The Modified Marcos Method With Double-Valued Neutrosophic Numbers: A Case Study, Haihua Ding, Haifeng Chen
Neutrosophic Sets and Systems
Quality is the core and soul of educational management, and educational management is the carrier of quality. Only by improving the efficiency and quality of educational management can we promote the healthy and long-term development of higher education. In the new era, universities should actively introduce education quality assurance theory and advanced management concepts, reform the education management quality assurance system, and thus play multiple educational functions such as enrollment management, student training, degree awarding, and quality evaluation. Based on the theoretical and event exploration of the quality assurance path of higher education management, China's higher education will inevitably embark …
Elevating Service Quality In Mass Sports Events Through Trapezoidal Neutrosophic Weighted Product Models, Yifang Zhao
Elevating Service Quality In Mass Sports Events Through Trapezoidal Neutrosophic Weighted Product Models, Yifang Zhao
Neutrosophic Sets and Systems
The evaluation of service quality in mass sports events is a structured process assessing aspects such as event organization, venue facilities, safety measures, staff services, and information dissemination. This evaluation assists organizers in identifying strengths and weaknesses, enabling optimization of services to enhance participant and spectator satisfaction. This study applies to the Weighted Product Method (WPM) integrated with Trapezoidal Neutrosophic Numbers (TNN) to address uncertainties inherent in multi-attribute decision-making. By presenting numerical examples and comparative analyses, the study demonstrates the effectiveness of the TNN-WPM technique. The findings provide a reliable framework for systematically evaluating service quality in mass sports events, …
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 …