Perfect Codes On T-Cayley Graphs,
2024
Faculty of Science
Perfect Codes On T-Cayley Graphs, Kantapong Wannatong
Chulalongkorn University Theses and Dissertations (Chula ETD)
Let G be a finite group with the identity e and t ∈ N. In this dissertation, we study perfect codes in a t-Cayley graph of G. Let H be a subgroup of G and k ∈ {1, . . . , t}. We have a necessary and sufficient condition for a collection Ω of subsets of G such that H × {1, . . . , k} is a perfect code in t-Cayley graph Cay(G× {1, . . . , t}, Ω). In addition, we obtain criterions for determining if H × {1, . . . , t} is …
Stochastic And Fuzzy Unit Commitment Models To Accommodate Solar Energy And Electric Vehicle Charging Penetration,
2024
Faculty of Science
Stochastic And Fuzzy Unit Commitment Models To Accommodate Solar Energy And Electric Vehicle Charging Penetration, Sukita Kaewpasuk
Chulalongkorn University Theses and Dissertations (Chula ETD)
This dissertation investigates the integration of renewable energy and electric vehicle (EV) consumption in the power system of Thailand. As the country moves towards sustainability, the production sector is experiencing a significant penetration of renewable energy sources, while the consumption sector is observing an increasing adoption of EVs. The unit commitment model is commonly used for electricity production planning to minimize costs and ensure system stability. However, the uncertainties associated with renewable energy output and EV charging consumption challenge the characteristic of the net load demand prediction. This study focuses on developing robust unit commitment models that consider the high …
Estimated Glomerular Filtration Rate Slope And Risk Of Primary And Secondary Major Adverse Cardiovascular Events And Heart Failure Hospitalization In People With Type 2 Diabetes: An Analysis Of The Exscel Trial,
2024
Khalifa University College of Medicine and Health Sciences
Estimated Glomerular Filtration Rate Slope And Risk Of Primary And Secondary Major Adverse Cardiovascular Events And Heart Failure Hospitalization In People With Type 2 Diabetes: An Analysis Of The Exscel Trial, Abderrahim Oulhaj, Faisal Aziz, Abubaker Suliman, Kathrin Eller, Rachid Bentoumi, John B. Buse, Wael Al Mahmeed, Dirk Von Lewinski, Ruth L. Coleman, Rury R. Holman, Harald Sourij
All Works
Aim: The decline in estimated glomerular filtration rate (eGFR), a significant predictor of cardiovascular disease (CVD), occurs heterogeneously in people with diabetes because of various risk factors. We investigated the role of eGFR decline in predicting CVD events in people with type 2 diabetes in both primary and secondary CVD prevention settings. Materials and Methods: Bayesian joint modelling of repeated measures of eGFR and time to CVD event was applied to the Exenatide Study of Cardiovascular Event Lowering (EXSCEL) trial to examine the association between the eGFR slope and the incidence of major adverse CV event/hospitalization for heart failure (MACE/hHF) …
Farey Recursion And Hyperbolic Dehn Filling,
2024
University of Montana
Farey Recursion And Hyperbolic Dehn Filling, Jose Ebenezer Martinez
Graduate Student Theses, Dissertations, & Professional Papers
In this work, we present a solution to William Thurston's edge gluing equations for Dehn fillings of hyperbolic 3-manifolds. This is done for triangulations that involve the layered solid torus. Our approach uses Farey recursive functions, and we present a Farey recursive function that provides a solution to the gluing equations for any hyperbolic Dehn filling admitting a triangulation by the layered solid torus. We provide examples that demonstrate our solution for multiple 3-manifolds, and study the roots of the corresponding Farey recursive polynomials. As an additional application of our solution, we provide a formula for the complex length of …
Analyzing Imprecise Data From Wireless Temperature Sensor,
2024
University of New Mexico
Analyzing Imprecise Data From Wireless Temperature Sensor, Usama Afzal, Muhammad Aslam, Muhammad Ahmed Shehzad, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Various sensors play an important role in the monitoring and development of robotic technology. We present a contemporary statistical analysis method for evaluating datasets generated by robotic systems. Specifically, this data set originates from the physical structure of the robot and is acquired by a wireless temperature sensor. The data collection process spans a temporal period of 1 to 10 hours during the operational period of the robot. The collected data is subjected to a rigorous analysis using neutrosophic methodology. To facilitate this, a modern neutrosophic formula has been devised, drawing on definitions established within the field. To benchmark the …
Ncmpy: A Modelling Software For Neutrosophic Cognitive Maps Based On Python Package,
2024
University of New Mexico
Ncmpy: A Modelling Software For Neutrosophic Cognitive Maps Based On Python Package, Ilanthenral Kandasamy, Divakar Arumugam, Aryan Rathore, Ateeth Arun, Manan Jain, Vasantha Kandasamy, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Cognitive Maps are a vital tool that can be used for knowledge representation and reasoning. Fuzzy Cognitive Maps (FCMs) are popular soft computing techniques used to model large and complex systems, and they can aid in explainable AI. FCMs, however, cannot model the indeterminacy that arises in a system due to various uncertainties. Neutrosophic Cognitive Maps (NCMs), upgraded FCMs that could model indeterminacy, was introduced to address this issue. NCMs are a generalization of FCMs, a field of cognitive science firmly based on neural networks. NCMs have been used to solve a wide range of problems. NCMs were introduced in …
Finding A Basic Feasible Solution For Neutrosophic Linear Programming Models: Case Studies, Analysis, And Improvements,
2024
University of New Mexico
Finding A Basic Feasible Solution For Neutrosophic Linear Programming Models: Case Studies, Analysis, And Improvements, Maissam Ahmad Jdid, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Since the inception of operations research, linear programming has received the attention of researchers in this field due to the many areas of its use. The focus was on the methods used to find the optimal solution for linear models. The direct simplex method, with its three basic stages, begins by writing the linear model in standard form and then finding a basic solution that is improved according to the simplex steps until We get the optimal solution, but we encounter many linear models that do not give us a basic solution after we put it in a standard form, …
A Decision-Making Approach Incorporating Todim Method And Sine Entropy In Q-Rung Picture Fuzzy Set Setting,
2024
University of New Mexico
A Decision-Making Approach Incorporating Todim Method And Sine Entropy In Q-Rung Picture Fuzzy Set Setting, Büşra Aydoğan, Murat Olgun, Florentin Smarandache, Mehmet Unver
Branch Mathematics and Statistics Faculty and Staff Publications
In this study, we propose a new approach based on fuzzy TODIM (Portuguese acronym for interactive and multicriteria decision-making) for decision-making problems in uncertain environments. Our method incorporates group utility and individual regret, which are often ignored in traditional multicriteria decision-making (MCDM) methods. To enhance the analysis and application of fuzzy sets in decision-making processes, we introduce novel entropy and distance measures for q-rung picture fuzzy sets. These measures include an entropy measure based on the sine function and a distance measure derived from the Jensen-Shannon divergence. In our methodology, incorporating the sine function into the entropy measure stands out …
Super Hiper Funcion Y Super Hiper Estructura Y Sus Correspondientes Super Hiper Funcion Neutrosofica Y Super Hiper Estructura Neutrosofica,
2024
University of New Mexico
Super Hiper Funcion Y Super Hiper Estructura Y Sus Correspondientes Super Hiper Funcion Neutrosofica Y Super Hiper Estructura Neutrosofica, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
El n-ésimo Conjunto Potencia de un Conjunto {o Pn(S)} describe mejor nuestro mundo real, porque un sistema S (que puede ser una empresa, institución, asociación, país, sociedad, conjunto de objetos/plantas/animales/seres, conjunto de conceptos/ideas/proposiciones, etc.) está formado por subsistemas, que a su vez están formados por sub-subsistemas, y así sucesivamente. Demostramos que la Super Hiper Función es una generalización de la Función clásica, Super Función y la Hiper Función. Y el Super Hiper Álgebra, Super Hiper Gráfico son parte de la Super Hiper Estructura. Casi todas las estructuras en nuestro mundo real son Super Hiper Estructuras Neutrosóficas ya que tienen …
Prefacio Del Número Especial Sobre La Aplicación De La Neutrosófica En Latinoamérica,
2024
University of New Mexico
Prefacio Del Número Especial Sobre La Aplicación De La Neutrosófica En Latinoamérica, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
En un mundo caracterizado por la complejidad y la incertidumbre, los marcos de pensamiento que pueden abrazar la ambigüedad y el conflicto inherente a nuestras vidas son de un valor incalculable. La neutrosófica, con su compromiso de explorar el espacio entre el verdadero y el falso, ha emergido como una perspectiva poderosa y transformadora en el ámbito académico y profesional. Este número especial de Investigación Operacional es un testimonio del creciente interés y de la aplicación de la neutrosófica en Latinoamérica, un continente diverso y vibrante que enfrenta desafíos únicos y oportunidades en el siglo XXI.
Neutrosophie : Un Cadre Interdisciplinaire Pour Une Meilleure Compréhension De L’Incertitude Et De L’Indétermination,
2024
University of New Mexico
Neutrosophie : Un Cadre Interdisciplinaire Pour Une Meilleure Compréhension De L’Incertitude Et De L’Indétermination, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
La neutrosophie, un cadre philosophique et scientifique relativement récent introduit dans les années 1990,1 propose une approche robuste pour comprendre et modéliser l’indétermination, la contradiction et l’incertitude. Explorons les concepts fondamentaux de la neutrosophie et quelques diverses applications à travers plusieurs disciplines, notamment les mathématiques, la physique, la sociologie, la psychologie et la biologie.
Nuevos Tipos De Conjuntos Suaves: Conjunto Hiper Suave, Conjunto Suave Indeterminado, Conjunto Hiper Suave Indeterminado Y Conjunto Suave De Árbol,
2024
University of New Mexico
Nuevos Tipos De Conjuntos Suaves: Conjunto Hiper Suave, Conjunto Suave Indeterminado, Conjunto Hiper Suave Indeterminado Y Conjunto Suave De Árbol, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This is an updated article, where we present the definitions and practical applications of the Soft Set and its extensions to the Hyper Soft Set, Indeterminate Soft Set, Indeterminate Hyper Soft Set, and Tree Soft Set.
Análisis Neutrosófico De Las Actitudes Hacia La Máquina De Experiencia De Nozick,
2024
University of New Mexico
Análisis Neutrosófico De Las Actitudes Hacia La Máquina De Experiencia De Nozick, Maikel Yelandi Leyva Vázquez, Jesús Estupiñán Ricardo, Noel Batista Hernández, Ricardo Sánchez Casanova, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This paper presents a neutrosophic study on attitudes towards virtual technology, with a special focus on the "Experience Machine". Employing a methodology that incorporates the theory of indecision and neutrality into response analysis, the perceptions of 50 university students were investigated. Opinions and feelings were transformed into neutrosophic numbers to calculate contradiction and conduct a detailed analysis. The results indicate a predisposition towards agreement with virtual technology, although notable indecision and a significant presence of neutral attitudes were detected. The correlations and clustering methods applied reveal a complex dynamic of attitudes, challenging binary interpretations and highlighting the need for more …
Two-Dimensional Steady Squeezing Flow Over A Vertical Porous Channel With Free Convective Heat/Mass Transfer And Invariable Suction,
2024
University of New Mexico
Two-Dimensional Steady Squeezing Flow Over A Vertical Porous Channel With Free Convective Heat/Mass Transfer And Invariable Suction, Zeeshan, Waris Khan, Taoufik Saidani, Florentin Smarandache, Muhammad Shahid Khan, Hamdi Ayed, M. Modather M. Abdou
Branch Mathematics and Statistics Faculty and Staff Publications
This research reports on the combined effects of heat and mass transfer (HMT) under the influences of the Soret and Dufour in natural convection steady 2D magnetohydrodynamic flow through the boundary layer in a porous vertical tube or duct. The current study is motivated by the significant applications of HMT in engineering processes such as casting and welding. The goal of this framework is to explore the assisting and opposing movements with HMT above a vertical porous channel under the influence of invariant suction and fluid dissipation which have not been reported in the earlier studies. The governing flow equations …
Progress In Physics: Twentieth Year Of Publication,
2024
University of New Mexico
Progress In Physics: Twentieth Year Of Publication, Florentin Smarandache, Andreas Ries, Pierre Millette, Ebenezer Chifu
Branch Mathematics and Statistics Faculty and Staff Publications
The journal Progress in Physics was created in January 2005 on behalf of many influential scientists with whom we were in correspondence. The main reason was that publications in other journals were allowed only if the submitter was affiliated with a scientific institution or research organization. Given this situation, many working scientists finding themselves partially employed or unemployed, such as in between research grants, find themselves unable to publish their research results. Even e-print archives such as Cornell’s arXiv required scientific affiliation and still follow this policy.
Plausible Photomolecular Effect And Microwave In Phase Transition Of Water As A New Dawn For Renewable Energy And Ensemble-Holistic Approach To Health Management,
2024
University of New Mexico
Plausible Photomolecular Effect And Microwave In Phase Transition Of Water As A New Dawn For Renewable Energy And Ensemble-Holistic Approach To Health Management, Victor Christianto, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Interaction among light and water molecules have baffled scientists for many decades, and even centuries. In this regards, photons in the visible spectrum, where bulk water normally doesn't absorb light, can surprisingly cleave off large water clusters from the water-vapor interface, according to a recent study by Tu and Chen (2023). This discovery, termed the "photomolecular effect," opens exciting possibilities for not only revolutionizing renewable energy but also paving the way for a more integrated-ensemble approach to health management (cf. Smarandache & Christianto, 2010; Tu & Chen, 2023; Tu et al., 2024). In a sense, other than with green or …
Neutrosophic Discrete Geometric Distribution,
2024
University of New Mexico
Neutrosophic Discrete Geometric Distribution, Rehan Ahmad Khan Sherwani, Sadia Iqbal, Shumaila Abbas, Muhammad Saleem, Muhammad Aslan, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Uncertainty, vagueness, and ambiguity surround us in many real-life problems and, therefore, always remain under consideration for researchers to quantify them. This study proposed neutrosophic discrete probability distribution as a generalization of classical or existing probability distributions, named neutrosophic geometric distribution. Case studies presented in the paper will help understand the concept and application of the proposed distribution. Several properties are derived, like the proposed distribution’s moment, characteristic, and probability-generating functions. Furthermore, the newly proposed distribution derives properties from the reliability analysis, such as survival function, hazard rate function, reversed hazard rate function, cumulative hazard rate function, mills ratio, and …
Many Extensions Of Coulomb’S Law: A Scoping Review,
2024
University of New Mexico
Many Extensions Of Coulomb’S Law: A Scoping Review, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
In this paper, Coulomb’s Law is extended from two stationary charged particles, on linear trajectory, to: many charged particles, or quantum level particles, or objects on arbitrary motions (with velocity, acceleration, time delay), on non-linear trajectories, at even superluminal and instantaneous speeds.
Jonckheere Trend Test Under Indeterminacy With Applications,
2024
University of New Mexico
Jonckheere Trend Test Under Indeterminacy With Applications, Abdulrahman Alaita, Muhammad Aslam, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
The classical Jonckheere trend test is a non-parametric statistical tool usually employed to compare the medians of multiple independent groups, especially when there is a natural ordering or trend among the groups. This paper aims to develop a more comprehensive and adaptable version of the Jonckheere trend test, called the neutrosophic Jonckheere trend test (NJT), which can be used to analyze di_erent types of uncertainty data. This paper discusses neutrosophic hypotheses and decision rules pertaining to the NJT test. Furthermore, the practical uses of the NJT test have been discussed in the context of real-world applications with COVID-19 data. Lastly, …
Enhancing Set-Theoretic Research Methods With Neutrosophic Sets,
2024
University of New Mexico
Enhancing Set-Theoretic Research Methods With Neutrosophic Sets, Maikel Yelandi Leyva Vázquez, Jesús Estupiñán Ricardo, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This study employed the integration of neutrosophic set theory with set-theoretic methods and Qualitative Comparative Analysis (QCA) to examine intricate social phenomena. Participants' opinions and attitudes were captured using neutrosophic Likert scales, which reflected elements of truth, indeterminacy, and falsity. This proposal is illustrated in a case study facilitated a more comprehensive and subtle examination, emphasizing the significance of variables such as motivation, instructional excellence, and educational resources in achieving academic accomplishment. The results of the necessary condition analysis and set coincidence analysis indicated that motivation and teaching quality have the highest individual impact. Nevertheless, the convergence of scholarly resources, …
