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Autopoietic Energy Transition Towards Clean And Renewable Energy For Developing Countries, Victor Christianto, Florentin Smarandache Jan 2025

Autopoietic Energy Transition Towards Clean And Renewable Energy For Developing Countries, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The global economy's reliance on energy supply and distribution necessitates a shift towards clean and renewable energy sources. This article explores how the economies of energy producers and consumers can be better modeled through the lens of autopoiesis, a concept developed by Humberto Maturana and further elaborated by Fritjof Capra (cf. Web of Life). By viewing energy systems as self-producing and self-maintaining entities, we can gain insights into the dynamics of energy transition in developing countries and identify strategies for fostering sustainable and resilient energy ecosystems.

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Ppg-Based Sleep Stage Classification Using Pulse Wave Feature Fusion And Explainable Ai, Florentin Smarandache, Satyasri Akula, Saleh Alzahrani, Farrukh Arslan, Amir Ijaz Jan 2025

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 …

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Soft Directed N-Superhypergraphs With Some Real-World Applications, Takaaki Fujita, Florentin Smarandache Jan 2025

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.

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A Critical Evaluation Of The Criticisms Against Neutrosophic Statistical Methods, Muhammad Aslam, Abdulrahman Alaita, Florentin Smarandache Jan 2025

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 …

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A Family Of Neutrosophic Estimators For Estimating Mean: An Application To Real Data, Bavita Singh, Abhishek Singh, Florentin Smarandache Jan 2025

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 …

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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 Jan 2025

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 …

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Competition Super-Hypergraphs: Revealing Hierarchical Competition In Real-World Networks, Takaaki Fujita, Florentin Smarandache Jan 2025

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 …

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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 Jan 2025

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, …

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A Refined Dual-Valued Neutrosophic Copras-Based Approach For Holistic Evaluation Of English Teaching Standards, Peng Tong, Bin Xie Jan 2025

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 …

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An Efficient Neutrosophic Weighted Sum Approach With Insights Into Engineering Project Management Performance Assessment, Rong Yan, Yongguang Han, Liqing Hao Jan 2025

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 …

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Hslic Annual Report Fy2024-25, University Of New Mexico Health Sciences Library And Informatics Center Jan 2025

Hslic Annual Report Fy2024-25, University Of New Mexico Health Sciences Library And Informatics Center

HSLIC Annual Reports

Annual report for FY 2024-2025.

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Tort Law And Practice, Carol M. Suzuki, Dominick Vetri, Lawrence C. Levine, Joan E. Vogel, Ibrahim J. Gassama, Deepa Badrinarayana Jan 2025

Tort Law And Practice, Carol M. Suzuki, Dominick Vetri, Lawrence C. Levine, Joan E. Vogel, Ibrahim J. Gassama, Deepa Badrinarayana

Faculty Book Display Case

The seventh edition of Tort Law and Practice continues to provide a rich and inclusive context for the study of tort law fundamentals and underlying policies. The innovative, student-centered casebook, which has been well-received by law students since its inception, thoroughly develops core tort principles and enhances student learning through the use of cases, notes, questions, element summaries, flowcharts, and problems. The book includes both short problems and others that are more akin to examination questions. The casebook provides frequent opportunities to consider tort law in a social justice context relevant to class, race, ethnicity, gender, and sexuality. For example, …

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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 Jan 2025

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 …

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An Approach To Numerical Solutions For Refined Neutrosophic Differential Problems Of High-Orders, Ahmed Salem Heilat Jan 2025

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.

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Lagrange-Integrated Gra Model For Urban Landscape Sculpture Site Selection With Neutrosophic Decision-Making, Qiwei Liu, Jiayin Li, Chang Liu Jan 2025

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 …

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Enhanced Madm Strategy With Heptapartitioned Neutrosophic Distance Metrics, Mohamed Eassa, M. Myvizhi, Mohamed Elkholy, Ahmed Abdelhafeez, Hussam Elbehiery Jan 2025

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.

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Correlation And Regression Coefficients Of Neutrosophic Graph Products Using Minimum Spanning Tree For Enhancing Healthcare Strategies, A. Meenakshi, Shivangi Mishra J Jan 2025

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. …

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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 Jan 2025

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 …

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Utilizing Cocoso And Interval Neutrosophic Magdm With Superhypersoft For Competitiveness Assessment In Rural Tourism Of Surrounding Cities, Aiping Cui, Zhiyao Liu Jan 2025

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 …

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Enhancing Neutrosophic Data Analysis: A Review Of Neutrosophic Measures And Applications With Neutrostat, Zahid Khan, Katrina Lane Krebs Jan 2025

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 …

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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 Jan 2025

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 …

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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 Jan 2025

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 …

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A Python Framework Enhancement For Neutrosophic Topologies, Giorgio Nordo, Saeid Jafari, Maikel Yelandi Leyva V Azquez Jan 2025

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 …

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A Triangular Fuzzy Neutrosophic Model For Assessing And Optimizing Educational Quality In University Badminton Initiatives: A Comprehensive Study, Yi Zheng, Jun Chen Jan 2025

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 …

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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 Jan 2025

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 …

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Dvnn-Cocoso: A Hybrid Neutrosophic Model For Evaluating Social And Economic Impacts Of Sports Event, Changshun Bai, Pute Lan Jan 2025

Dvnn-Cocoso: A Hybrid Neutrosophic Model For Evaluating Social And Economic Impacts Of Sports Event, Changshun Bai, Pute Lan

Neutrosophic Sets and Systems

The evaluation of the social benefits of major sports events is a multifaceted process, focusing on assessing the positive impacts such events bring to a host city and society. These benefits include promoting public health, fostering national pride and social cohesion, boosting local economies, and improving infrastructure. This evaluation process can be viewed as a multiple-attribute decision making (MADM) problem. This study introduces a novel double-valued neutrosophic number CoCoSo (DVNN-CoCoSo) technique for MADM, incorporating DVNN Hamming distance (DVNNHD) and DVNN Logarithmic distance (DVNNLD). This method effectively handles the uncertainty inherent in evaluating social benefits. A numerical example of social benefits …

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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 Jan 2025

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 …

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, Cloud Computing And Neutrosophic Logic: Navigating Uncertainty In Educational Administration, Ibrahim Yasser, Aya A. Abd El-Khalek, Huda E. Khalid, A. A. Salama, Ahmed K. Essa Jan 2025

, Cloud Computing And Neutrosophic Logic: Navigating Uncertainty In Educational Administration, Ibrahim Yasser, Aya A. Abd El-Khalek, Huda E. Khalid, A. A. Salama, Ahmed K. Essa

Neutrosophic Sets and Systems

Educational institutions face inherent uncertainties in student performance, stakeholder priorities, and data analysis. This paper explores how cloud computing, with its data storage, analytics, and collaboration tools, can address these uncertainties in educational administration. We propose a neutrosophic framework utilizing "truth," "falsity," and "indeterminacy" values to represent these complexities within educational data. Real-world case studies analyze how cloud computing can reduce uncertainties and improve decision-making. Our findings reveal that cloud computing offers significant potential for navigating the "fog" of educational administration, but its effectiveness is enhanced by considering the "indeterminacy" inherent in educational data through the neutrosophic framework. This research …

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Regime Framework For Performance Ability Evaluation Of Excellent Football Players With Probabilistic Simplified Neutrosophic Sets, Dongdong Liu Jan 2025

Regime Framework For Performance Ability Evaluation Of Excellent Football Players With Probabilistic Simplified Neutrosophic Sets, Dongdong Liu

Neutrosophic Sets and Systems

The evaluation of an excellent football player's performance abilities involves assessing their overall capabilities based on in-game performance. Key evaluation dimensions include technical skills (such as passing, shooting, dribbling, etc.), tactical awareness, physical fitness, mental resilience, and teamwork. Through data analysis, video review, and coach feedback, the player's impact and contribution to the game are comprehensively evaluated, helping to determine their actual level in matches and provide guidance for future development. The performance ability evaluation of excellent football players is multiple attribute decision-making (MADM). The REGIME proves to be an effective method for tackling MADM challenges. The Probabilistic Simplified Neutrosophic …

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Interval Valued Secondary K-Range Symmetric Quadri Partitioned Neutrosophic Fuzzy Matrices With Decision Making, K. Radhika, S. Senthil, N. Kavitha, R. Jegan, M. Anandhkumar, A. Bobin Jan 2025

Interval Valued Secondary K-Range Symmetric Quadri Partitioned Neutrosophic Fuzzy Matrices With Decision Making, K. Radhika, S. Senthil, N. Kavitha, R. Jegan, M. Anandhkumar, A. Bobin

Neutrosophic Sets and Systems

The objective of this study is to establish the results concerning Interval-Valued (IV) Secondary k-Range Symmetric (RS) Quadri Partitioned Neutrosophic Fuzzy Matrices (QPNFM). We have applied the RS condition within the neutrosophic environment to explore the relationships between IVQP s−k- RS, s-RS, IVQP k-RS, and IVQP RS matrices. This analysis has yielded significant insights into how these various matrix types interrelate and their structural properties. We have established the necessary and sufficient criteria for IVQP s−k-RS IVQPNFM, along with various generalized inverses of an IVQP s−ks- RS fuzzy matrix to maintain its classification as an IVQP s−k- RS matrix. Furthermore, …

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