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A Comparison Between Euler's Method And 4-Th Order Runge- Kutta Method For Numerical Solutions Of Neutrosophic And Dual Differential Problems, Ahmed Salem Heilat

Neutrosophic Sets and Systems

This paper is dedicated to study some numerical solutions of neutrosophic and dual differential problems through a numerical comparison between neutrosophic Euler's method and 4-th order Runge-Kutta neutrosophic and dual method, where we apply both methods on the same problems and compare the numerical results of solutions and numerical estimations of errors by using numerical tables.

Effective Approach To Shock Absorption Performance Evaluation Of Mechanical Component Springs Using The Single Valued Trapezoidal Neutrosophic Numbers For Structural Stability, Hanwei Qu, Caiyun Duan, Jiancheng Yu

Neutrosophic Sets and Systems

We propose a decision-making approach for shock absorption performance evaluation of mechanical component springs. The main goal of this research is to provide a decision support system that will help decision makers to select the best alternative to alleviate this ambiguity. The selection of the best alternative is done using the multi-attribute group decision-making approach. The hybrid model is created utilizing two-step logarithmic normalization (ARLON) and Single Valued Trapezoidal Neutrosophic Numbers (SVTNNs) for MEREC and alternative ranking. The criteria's relevance levels are ascertained using the innovative SVTNN-MEREC approach. The alternatives are ranked using the recently developed SVTNN-ARLON technique. The suggested …

Fixed Point Theorems In Neutrosophic Fuzzy Metric Space And A Characterization To Its Completeness, Samriddhi Ghosh, Ramakant Bhardwaj, Satyendra Narayan, Sonam Sonam

Neutrosophic Sets and Systems

The present research work aims to establish some basic conventional fixed point theorems such as the Banach fixed point theorem, Edelstein fixed point theorem and Kannan fixed point theorem, for a recently introduced topological space, known as the neutrosophic fuzzy metric space. The Kannan fixed point theorem has also further been classified into two categories namely, (1/2)−Kannan and (1)−Kannan fixed point theorems. Also the concept of semi-metric in the said space has been introduced, and along with it the results hence obtained are used to characterize the completeness of the mentioned space. To the best of known literatures, this type …

Quality Assessment Of Innovation And Entrepreneurship Talent Cultivation In Universities From The Perspective Of Collaborative Education Under Triangular Neutrosophic Cubic Linguistic Hesitant Fuzzy Set, Qing Tan, Chengcheng Wu, Xuan Li, Yao Yao

Neutrosophic Sets and Systems

A technique for representing mathematical models of confusion, ambiguity, confusion, inconsistency, and inconsistency, neutrophilic logic is built on non-standard analysis. While truth membership, indeterminacy membership, and falsity membership are independent, indeterminacy is explicitly quantified in the Neutrosophic set. In many circumstances where we deal with conflicting and partial information, this is crucial. Differential equations are widely used in science and engineering to represent issues, and one of the newest areas of study is the study of differential equations with uncertainty. We used the Triangular Neutrosophic Cubic Linguistic Hesitant Fuzzy Set with the decision-making methods. Two methods are used in this …

Application Of The Neutrosophic Fuzzy Sets In Profession Determination, K. Rajesh, S. Moorthy, A. Jeeva, D. Moganraj

Neutrosophic Sets and Systems

We present several operations, such as algebraic sum, algebraic product, and arithmetic mean, over the neutrosophic sets extended with moment in time and sketch numbers. Through mathematical illustrations, we explore various properties and apply this concept to professional decision-making. Existing neutrosophic set (NS) and fuzzy set theories lack the capability to dynamically account for time and evolving circumstances. Many approaches fail to provide satisfactory solutions for handling evolving decision criteria or dynamic uncertainties. While operations like algebraic sum, algebraic product, and arithmetic mean exist for neutrosophic sets, their adaptation and extension to dynamic and temporal dimensions (moment in time and …

Solving A Global-Mixed Integer Signomial Geometric Fractional Programming Problem, J. Shirin Nejad, M. Saraj

Neutrosophic Sets and Systems

This article addresses mixed integer fractional signomial geometric programming (MIFSGP) problems, which have been widely used in industrial design. In this paper, first, we convert fractional signomial programming into a nonfractional problem so that it maintains its geometric structure. Then, convex relaxation is used to reach a mixed integer global solution. Although, in many cases, we obtain a better objective function value with this process, designers may still be dissatisfied with the rupture between the original objective function value and the relaxed value. Therefore, we apply a spatial branch and bound algorithm to decrease that distance to an acceptable extent …

A Concise Formalization Of Hyperrealism-Antirealism In Physics Using Neutrosophic Logic, Takaaki Fujita, Florentin Smarandache, Victor Christianto

Neutrosophic Sets and Systems

In [6], the relationship between hyperrealism and antirealism in physics is proposed. Hyperrealism Antirealism describes a spectrum where theories transition from being empirically grounded (realist) to speculative frameworks dominated by untestable assumptions, thereby detaching from observable reality. This paper presents a concise mathematical formalization of the spectrum of hyperrealism-antirealism in theoretical physics and the philosophy of science. We propose a method to quantify the extent to which a theory is “hyperreal” or “antirealist” using a ratio of testable to untestable statements. Additionally, we provide several theorems that outline the conditions under which theories shift into hyperreal or antirealist domains. Finally, …

Risk Assessment Of Municipal Water Supply And Drainage Project Costs Using Neutrosophic Numbers, Huihui Gao, Kun Qian

Neutrosophic Sets and Systems

Risk assessment of municipal water supply and drainage project costs is a multi-criteria decision making (MCDM) problem. Water supply and drainage have various conflict criteria. Two MCDM methods are used in this study such as SIWEC and MACONT. The SIWEC method is used to compute the criteria weights and the MACONT method is used to rank the alternatives. These methods are used under the trapezoidal fuzzy neutrosophic sets (TFNSs) to deal with uncertainty and vague information. Eight criteria and eleven alternatives ate used to evaluate the MCDM problem. The sensitivity analysis is conducted to show the stability of the ranks. …

Edge Connectivity Of A Neutrosophic Graph, Aparna Tripathy, Amaresh Chandra Panada, Siva Prasad Behera, Bhabani S. Mohanty

Neutrosophic Sets and Systems

Neutosophic graphs are an extension of fuzzy and intuitionistic fuzzy graphs by including the uncertainty, vagueness, and indeterminacy that are normal in the real world. This paper looks into the edge connectivity of a neutrosophic graph, which is a basic parameter that shows how strong and fault-tolerant networks are that are modelled by these graphs. Edge connectivity, which is the smallest number of edges that need to be taken away from a graph to make it trivial or disconnected, is a key concept in figuring out how strong and resilient networks are in many situations. This paper also addresses computational …

Neutrosophic Augmented Lagrange Multipliers Method Nonlinear Programming Problems Constrained By Inequalities, Maissam Jdid, Florentin Smarandache, Takaaki Fujita

Neutrosophic Sets and Systems

Operations research uses scientific methods that take the language of mathematics as a basis and uses the computer, without which it would not be possible to achieve numerical solutions to the problems raised. It is concerned with applying scientific methods to complex issues in the management and direction of large systems in various fields and private and governmental businesses in peace and war in politics, management, economics, planning and implementation and in all aspects of life. In issues that require sound solutions, when solutions are numerous and options are multiple, we need a decision based on sound scientific foundations that …

Neutrosophic Hypersoft Set (Nhss) For Teaching Quality Assessment In University Interior Design Courses, Ruijuan Zhang

Neutrosophic Sets and Systems

Teaching quality evaluation in university interior design courses have different criteria and values. So, we used the multi-criteria decision making (MCDM) approach to deal with various criteria. Two MCDM methods are used such as Entropy to compute the criteria weights and RAFSI method to rank the alternatives. Two MCDM methods are used under the neutrosophic-Z number (NZN) to deal with uncertain and vague information. This study uses the neutrosophic HyperSoft set (NHSS) to find the relationship between different criteria. Seven criteria and eight alternatives are used in this study. An empirical application is applied to show the validation of the …

The Double Integrals Of 2- Refined Neutrosophic Functions And Its Applications, Yaser Ahmad Alhasan, Asma Mohammed Alshallali, Qusay Alhassan

Neutrosophic Sets and Systems

The importance of this paper comes from the fact that it presented a study of the double integrals of 2- refined neutrosophic functions and its applications, where we presented several theories for the concept of the double integrals of 2- refined neutrosophic functions over a general region and over a rectangle, including the 2- refined neutrosophic Fubini’s theorem. In addition to discussing applications of double integrals of 2- refined neutrosophic functions to calculate the area of region. Also, We took into account the definition of the positive 2- refined neutrosophic number, and the n-refined AH-Isometry.

Complex Fermatean Neutrosophic Sets And Their Applications In Decision Making, Vijaya V, Said Broumi, Manikandan H

Neutrosophic Sets and Systems

Complex Neutrosophic Sets have emerged as a groundbreaking paradigm for handling uncertainty in complex-valued variables. By defining truth, indeterminacy, and falsity membership functions within the unit circle of the complex plane, this innovative framework provides a robust foundation for uncertainty management. This paper introduces a novel hesitance distance measure for Complex Fermatean Neutrosophic Sets, enabling the quantification of uncertainty in complex decision-making scenarios. The proposed distance measure is applied to solve a Multi-Criteria Decision Making Problem, demonstrating its effectiveness in handling uncertainty and ambiguity. This research has far-reaching implications for various fields, including decision theory, artificial intelligence, and operations research. …

Neutrosophic Sets And Systems, Vol. 81,2025, Florentin Smarandache, Mohamed Abdel-Basset, Maikel. Leyva Vazquez

Neutrosophic Sets and Systems

the whole of the volume

Differential Privacy For Microdata Streams: Adversarial Approaches, Sean Mcelroy

Masters Theses & Doctoral Dissertations

Many attacks on personal privacy exist that create a variety of harm. As the world has become more interconnected, always-on, and real-time, many entities collect, aggregate, process, use, and disseminate the whereabouts, preferences, actions, and associations of humans everywhere that can subject them to surveillance, mistreatment, identity theft, and other invasions of our private lives. Laws, rules, and regulations have not protected fundamental rights of privacy, but where policymakers have failed, technological solutions have emerged. A significant development is e-differential privacy, a technique that can inject noise into data about individuals and their actions to strike a balance between the …

Geochronology Of Senèze, Eric Delson, Sébastien Nomade, Sevket Sen, Evelyne Debard, Jean-François Pastre, Jean-Jacques Bahain, Qingfeng Shao, Christophe Falguères

Publications and Research

The age of the Senèze mammalian fauna has been discussed since it was first reported in 1892. 40Ar/39Ar ages reported by Nomade et al. (2014) and recalculated here to agree with current standards placed the deposits between 2.20 and 2.07 Ma. Paleomagnetic data collected in 2001 and 2004 help to narrow the age range, especially of the levels yielding fossils in 2001–2006. In the western sector, fossils can be securely dated between 2.10 and 2.08 Ma, while in the southeastern sector, they are slightly older, between 2.20 and 2.18 Ma. Senèze is one of the few later Cenozoic European sites …

An Investigation Into The Effectiveness Of High School Models Of Instruction In English Language Arts For Exceptional Education Standard Diploma Students, Lori A. Rath Minton

Dissertations

This study examined the effectiveness of high school instructional models in English Language Arts (ELA) for Exceptional Student Education (ESE) students pursuing a standard diploma. The purpose was to compare self-contained and inclusion models within the framework of the Individuals with Disabilities Education Act (IDEA), emphasizing Free and Appropriate Public Education (FAPE) and the Least Restrictive Environment (LRE). The research was conducted in a medium-sized rural district high school.

The overarching research question was: Based on student test scores, ESSA data, surveys, and interviews with content area teachers, ESE teachers, paraprofessionals, support facilitators, and administrators, how effective are self-contained and …

Latent Active Transportation Methodology, Maria Chierichetti, Fatemeh Davoudi Kakhki

Mineta Transportation Institute

Understanding and estimating latent demand for active transportation, such as walking and cycling, is essential for designing infrastructure and policies that promote sustainable mobility. Unlike traditional demand models that focus on observed trips, latent demand estimation seeks to quantify the unrealized potential for active travel due to barriers such as inadequate infrastructure, safety concerns, or lack of connectivity. This study develops a comprehensive latent demand model tailored for California, integrating geospatial analysis and multimodal accessibility assessments. The methodology employs a GIS-based corridor analysis approach, utilizing spatial accessibility metrics and distance decay functions to evaluate potential demand. It incorporates employment and …

Fuel Cell System Development For Heavy Duty Vehicles, Yu Yang, Hen-Geul Yeh, Bryan Aguirre

Mineta Transportation Institute

As California advances its ambitious goals for transportation electrification to combat climate change, hydrogen-powered fuel cells are emerging as a viable solution for overcoming the challenges of heavy-duty vehicles, offering an efficient alternative to lithium-ion batteries because they produce minimal chemical, thermal, and carbon emissions. One type of hydrogen fuel cell technology called proton exchange membrane fuel cells (PEMFCs) has garnered the most attention due to its distinct advantages, including relatively low operating temperatures (60–80 °C) and reliable performance at high current densities. However, despite their promise, PEMFCs face challenges, including in optimizing stack power output and safety concerns. To …

Pillars Of Purpose: Postsecondary Career And Technical Education Faculty Viewpoints On Retention, Garry Brandon Hensley

Educational Leadership & Workforce Development Theses & Dissertations

The retention of postsecondary Career and Technical Education (CTE) faculty in community colleges is critical for maintaining a skilled workforce to meet evolving labor market demands. This study employs Q methodology to explore the subjective viewpoints of community college CTE faculty regarding factors influencing their job satisfaction and retention. Grounded in Herzberg’s Two-Factor Theory of Motivation and Job Embeddedness Theory, the research integrates the concept of Employee Experience Management (EEM) to provide a comprehensive framework for understanding faculty retention. Data collected from Q sorts and follow-up focus group interviews reveal six distinct factors representing diverse faculty perspectives on job satisfaction, …

Planetary Atmospheres, Ryan M. Johnson

Physics Theses & Dissertations

Planetary atmospheres are frequently studied using a number of spectroscopic methods. One of these is observing spectra to analyze what molecules are present or chemical reactions may be taking place. To this end, we have produced a line list of the electronic a¹Δ−X³Σ⁻ and b¹Σ⁺−X³Σ− transitions of SO. Additionally, a line list pure rovibrational transitions of the a¹Δ and X³Σ⁻ states were produced, but lacked the necessary experimental data for the b¹Σ⁺ state. These line lists can be used in further …

From Gamers To Professionals: A Case Study On The Role Of Esports In Developing Employability Skills, Anthony Mark Gray Jr.

Educational Leadership & Workforce Development Theses & Dissertations

Workforce Skills have evolved to be critically needed and the ways of developing these workplace skills are evolving. This study explores the potential contributions of esports activities at colleges to the development of essential employability skills, including collaboration, communication, leadership, problem-solving, and teamwork, skills that are valued by human resources managers. Despite the growing popularity of esports and its potential to prepare students for the workforce, there is limited research connecting esports and even broader video games connected to the activities can influence skill development and career readiness. There is an increase in academic focus and identifying the knowledge skills, …

Stability Analysis In The Twist-Bend Nematic Liquid Crystal Model, Zhenqiang Li

Mathematics & Statistics Theses & Dissertations

The recently discovered twist-bend nematic liquid crystal (LC) phase is characterized by a nanoscale helical modulation of the nematic director n, forming a conical helix along the z-axis at an oblique angle θ. While many models assume a constant cone angle and equal elastic constants K11 = K22 = K33, this dissertation removes both assumptions by considering a fully anisotropic elastic energy with K11 ≠ K22 ≠ K33, and allowing θ to vary spatially. We analyze the stability of this system under frustrated and free boundary conditions using variational methods. …

Integrating Computational Thinking Into K–12 Classroom Instruction, Jorge Valenzuela

STEMPS Theses & Dissertations

In 2016, legislation mandated the integration of computer science (CS) and computational thinking (CT) skills across K–12 instruction in the Commonwealth of Virginia. CT integration is also a focus in many schools throughout the United States. Educators must understand CT/CS core concepts and practices, looking for practical ways to integrate CT across the K–12 curricula. To address this, the current study was conducted. The study compares the effects of the Jigsaw technique and teacher-directed instruction on the participants by surveying their self-efficacy for integrating CT in their teaching. This study uses a pre- and post-test design, and data collection took …

Identifying Contributing Factors Of Black American Females’ Long-Term Persistence In Stem Education: A Qualitative Phenomenological Study, Chandra T. Oaks-Garcia

STEMPS Theses & Dissertations

The purpose of this study was to gain insights into contributing factors that have shaped the experiences of eight Black American females who pursued STEM education as they persisted from the secondary education setting to their collegiate setting in a STEM major. This qualitative phenomenological study collected data through in-depth semi-structured interviews with Black American female juniors and seniors studying at four different four-year institutions, all pursuing degrees in STEM-related fields. Demographic surveys and memo writing were incorporated to enhance the data analysis. To explore the lived experiences of Black American females in STEM education and identify factors that contributed …

Effects Of High Temperature Compaction On 3d Printed Carbon Fiber Reinforced Polymer Composites, John D. Barber

Mechanical & Aerospace Engineering Theses & Dissertations

The aim of this dissertation was to study the effects of hot temperature compaction (HTC) upon the polymorphism and the mechanical behavior of an additively manufactured (AM), carbon fiber reinforced polyamide (PA6). Different pressure and temperature levels during HTC were tested to determine the overall effect upon the mechanical behavior and the material crystalline composition. Treated, carbon fiber reinforced PA6 samples were analyzed using differential scanning calorimetry, x-ray diffraction, thermogravimetric analysis, scanning electron microscopy, double cantilever beam testing and three-point bending testing. When considered with respect to as-printed samples, an HTC temperature of 190°C combined with 80 psi pressure resulted …

The Relationship Between Tutoring And Student Success And Retention Among Men Of Color Enrolled In Community College Stem Gateway Courses In Upstate New York, Elizabeth Mary Eloise Richards

Educational Leadership & Workforce Development Theses & Dissertations

Retention and success rates among men of color in STEM programs remain a critical concern in higher education. Although tutoring is widely recognized as an academic support strategy, limited research has examined its relationship with students from this demographic group outside states with large Black and Hispanic student populations, such as Texas and California. The current study expands existing research by analyzing the relationship between tutoring participation, student success, and retention among male students of color enrolled in STEM courses at community colleges in Upstate New York. A quantitative research design was employed, using logistic regression modeling to analyze data …

An Elementary Review Of Multi-Tiered System Of Support, Zachary R. Ernst

Dissertations

This research aimed to review how a large unit school district can differentiate the Multi-Tiered Systems of Support (MTSS) framework specifically for the elementary level to increase the growth and achievement of all elementary students within the district. A deep dive into publicly available student achievement data for Parkside School District was completed as part of the research and data collection. Additionally, school and district staff were given an in-depth survey about different aspects of the MTSS framework in Parkside School District. All of this data was analyzed and interpreted. The results showed that there is a need for the …

Breaking Barriers: An Educator's Pursuit To Provide Equity In Student Achievement, Christina L. Korsun

Dissertations

There is a sense of urgency to address the widening achievement gaps among minority students, students with disabilities, and English-language learners. This makes immediate school action necessary to create a more equitable learning environment. Without strategic interventions, including improved teacher retention efforts, stronger student support systems, and effective leadership, these challenges will continue to hinder student success and overall school performance. The purpose of this project is to find solutions for schools to institute to narrow the achievement gap by ensuring all students receive the support needed to succeed. Schools can respond to the learning gap by promoting equitable learning …

Distribution Comparisons Of Eac Cost Growth For Aircraft Work Breakdown Structure Elements, Kyle P. Marquis, Edward D. White, Brandon M. Lucas, Robert D. Fass, Jonathan D. Ritschel, Shawn M. Valentine

Faculty Publications

This article analyzes and investigates the distribution of cost growth of the Estimate at Completion (EAC) for the Work Breakdown Structure (WBS) elements of approximately 60 historical United States Acquisition Category I Research, Development, Test and Evaluation aircraft programs. Using the method of maximum likelihood in conjunction with the Akaike Information Criterion, the authors suggest that both the lognormal and Weibull distributions provide relatively good fit to EAC cost growth, with the lognormal slightly edging out the Weibull. As a summarized finding, the authors present their empirical results for the mean, coefficient of variation (CV), the 15th and 85th percentiles …