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, …
Computation Of Separate Ratio And Regression Estimator Under Neutrosophic Stratified Sampling: An Application To Climate Data,
2024
University of New Mexico
Computation Of Separate Ratio And Regression Estimator Under Neutrosophic Stratified Sampling: An Application To Climate Data, Abhishek Singh, Hemant Kulkarni, Florentin Smarandache, Gajendra K. Vishwakarma
Branch Mathematics and Statistics Faculty and Staff Publications
In this article, we introduce a novel approach by presenting separate ratio and regression estimators in the context of neutrosophic stratified sampling for the very first time, incorporating auxiliary variables. We have conducted a thorough analysis to estimate these newly proposed estimators' bias and mean square error (MSE) up to the first-order approximation. Theoretically using efficiency comparison criteria, our findings demonstrate the superior performance of these estimators compared to traditional unbiased estimators. Also, numerically based on real-life and artificial data, we have shown the supremacy of the neutrosophic stratified sampling over neutrosophic simple random sampling along with the supremacy of …
An Innovative Approach On Yao’S Three-Way Decision Model Using Intuitionistic Fuzzy Sets For Medical Diagnosis,
2024
University of New Mexico
An Innovative Approach On Yao’S Three-Way Decision Model Using Intuitionistic Fuzzy Sets For Medical Diagnosis, Wajid Ali, Tanzeela Shaheen, Iftikhar Ul Haq, Florentin Smarandache, Hamza Ghazanfar Toor, Faiza Asif
Branch Mathematics and Statistics Faculty and Staff Publications
In the realm of medical diagnosis, intuitionistic fuzzy data serves as a valuable tool for representing information that is uncertain and imprecise. Nevertheless, decision-making based on this kind of knowledge can be quite challenging due to the inherent vagueness of the data. To address this issue, we employ power aggregation operators, which prove effective in combining several sources of data, such as expert thoughts and patient information. This allows for a more correct diagnosis; a particularly crucial aspect of medical practice where precise and timely diagnoses can significantly impact medication policy and patient results. In our research, we introduce a …
A New Mood’S Median Test For Imprecise Data,
2024
University of New Mexico
A New Mood’S Median Test For Imprecise Data, Abdulrahman Alaita, Muhammad Aslam, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
The existing Mood’s median test is a non-parametric test used to compare two or more sample data sets whether they are from the same population or not. There can be no application of this test to uncertain and indeterminate data. Therefore, it is necessary to find a generalization of this test that will enable us to apply it in uncertain environments. This study will present a new approach that utilizes neutrosophic statistics to apply Mood’s median test. The approach involves defining hypotheses, determining a decision rule, and performing the test in an uncertain environment. An evaluation of the performance of …
A Neutrosophic Approach To Study Agnotology: A Case Study On Climate Change Beliefs,
2024
University of New Mexico
A Neutrosophic Approach To Study Agnotology: A Case Study On Climate Change Beliefs, Florentin Smarandache, Maikel Leyva Vázquez
Branch Mathematics and Statistics Faculty and Staff Publications
Misinformation and biased information significantly impact public perception and political decisions, especially on critical issues such as climate change and environmental conservation. This study aims to understand how indeterminacy and contradiction influence public perception and policy formulation by applying neutrosophic theory to model the complexity and multi-dimensionality of ignorance. Using neutrosophic Likert scales, we capture a nuanced spectrum of opinions on the scientific certainty of human impact on climate change. The results are analyzed through a k-means clustering algorithm to identify patterns and segment participants into groups based on their levels of truth, indeterminacy, and falsehood. This approach reveals deeper …
Eevmc: An Energy Efficient Virtual Machine Consolidation Approach For Cloud Data Centers,
2024
University of New Mexico
Eevmc: An Energy Efficient Virtual Machine Consolidation Approach For Cloud Data Centers, Attique Ur Rehman, Songfeng Lu, Mubashir Ali, Florentin Smarandache, Sultan S. Alshamrani, Abdullah Alshehri, Farrukh Arslan
Branch Mathematics and Statistics Faculty and Staff Publications
The dynamic landscape of cloud computing design presents significant challenges regarding power consumption and quality of service (QoS). Virtual machine (VM) consolidation is essential for reducing power usage and enhancing QoS by relocating VMs between hosts. OpenStack Neat, a leading framework for VM consolidation, employs the Modified Best-Fit Decreasing (MBFD) VM placement technique, which faces issues related to energy consumption and QoS. To address these issues, we propose an Energy Efficient VM Consolidation (EEVMC) approach. Our method introduces a novel host selection criterion based on the incurred loss during VM placement to identify the most efficient host. For validation, we …
A Few Lessons From Venezuela: Introducing A New Path Of Appropriate Farming And Appropriate Renewable Energy,
2024
University of New Mexico
A Few Lessons From Venezuela: Introducing A New Path Of Appropriate Farming And Appropriate Renewable Energy, Victor Christianto, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
In development economics literatures, there is a known term for developing countries which tend to mismanage natural resources, that term is called natural resources curse. And two examples which have been discussed quite often is Venezuela and Norway. Here we also discuss other countries as well, including Argentina and a few lessons for Indonesia in choosing the next course of development path, especially with appropriate farming and appropriate renewable energy.
A Comprehensive Study On Decision-Making Algorithms In Retail And Project Management Using Double Framed Hypersoft Sets,
2024
University of New Mexico
A Comprehensive Study On Decision-Making Algorithms In Retail And Project Management Using Double Framed Hypersoft Sets, Ajoy Kanti Das, Florentin Smarandache, Rakhal Das, Suman Das
Branch Mathematics and Statistics Faculty and Staff Publications
In today's dynamic business environment, effective decision-making plays a crucial role in the success of retail businesses and project management endeavors. This paper presents a comprehensive study of decision-making algorithms, focusing on the utilization of Double Framed Hypersoft Sets (DFHS) in retail and project management contexts. The study explores the theoretical foundations of DFHS and its practical applications in customer segmentation, personalized marketing, project selection, and resource allocation. Various algorithms and methodologies incorporating DFHS are discussed and analyzed, highlighting their advantages, limitations, and real-world implications. Through a series of numerical examples, case studies, and comparative analyses, this study provides valuable …
Upside-Down Logics: Falsification Of The Truth And Truthification Of The False,
2024
University of New Mexico
Upside-Down Logics: Falsification Of The Truth And Truthification Of The False, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This paper is about funny science, recreational mathematics, upside-down thinking, or contradictory reasoning (to think backward). Since a statement in some conditions may be true, in other conditions false, and a third type of conditions partially true and partially false. The paper presents for the first time two types of Upside-Down Logic, the first one is falsification of the Truth (when a true statement is transformed into a false one), and the second one is the opposite: Truthification of the False (when a false statement is transformed into a true one) - within the frame of Recreational Neutrosophy. All transformations …
Single-Valued Neutrosophic Ideal Approximation Spaces,
2024
University of New Mexico
Single-Valued Neutrosophic Ideal Approximation Spaces, Yaser Saber, Mohamed Abusalih, Esam Bader, Tawfik Elmasry, Abdelaziz Babiker, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
In this paper, we defined the basic idea of the single-valued neutrosophic upper, single-valued neutrosophic lower and single-valued neutrosophic boundary sets of a rough single-valued neutrosophic set in a single-valued neutrosophic approximation space. We joined the single-valued neutrosophic ideal notion with the single-valued neutrosophic approximation spaces and then introduced the single-valued neutrosophic ideal approximation closure and interior operators associated with a rough single-valued neutrosophic set, single-valued neutrosophic ideal approximation connectedness and the single-valued neutrosophic ideal approximation continuity between single-valued neutrosophic ideal approximation spaces are introduced. The concepts of single-valued neutrosophic groups and their approximations have also been applied in the …
Note On Partial Falsifiability Of Fuzzy And Fuzzy-Extension Hypotheses,
2024
University of New Mexico
Note On Partial Falsifiability Of Fuzzy And Fuzzy-Extension Hypotheses, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
In this short note we adjust the (classical) Falsifiability of a hypothesis that may be 100% true as in classical logic, to the field of multi-valued logics, where there are partialities of truth-value, of indeterminacy, and of false-value of a hypothesis, and we call it Partial Falsifiability.
Neutrosophic Twofold Algebra,
2024
University of New Mexico
Neutrosophic Twofold Algebra, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
We introduce for the first time the concepts of Neutrosophic TwoFold Algebra with its corresponding Neutrosophic TwoFold Law, and their derivatives of Fuzzy (and all fuzzy-extensions) Two Fold Algebras and Laws. A practical application and a numerical example are also presented.
Generating Neutrosophic Random Variables Based Gamma Distribution,
2024
University of New Mexico
Generating Neutrosophic Random Variables Based Gamma Distribution, Maissam Ahmad Jdid, Florentin Smarandache, Khalifa Al Shaqsi
Branch Mathematics and Statistics Faculty and Staff Publications
In practical life, we encounter many systems that cannot be studied directly, either due to their high cost or because some of these systems cannot be studied directly. Therefore, we resort to the simulation method, which depends on applying the study to systems similar to real ones and then projecting these results if they are suitable for the real system. The simulation process requires a good understanding of probability distributions and the methods used to transform random numbers that follow a regular distribution in the field [0,1] into random variables that follow them, so that we can achieve the greatest …
Converting Some Zero-One Neutrosophic Nonlinear Programming Problems Into Zero-One Neutrosophic Linear Programming Problems,
2024
University of New Mexico
Converting Some Zero-One Neutrosophic Nonlinear Programming Problems Into Zero-One Neutrosophic Linear Programming Problems, Maissam Jdid, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
The science of operations research is the applied aspect of mathematics and one of the most important modern sciences that is concerned with practical issues and meets the desire and request of decision makers to obtain ideal decisions through the methods it presents that are appropriate for all issues, such as linear programming, nonlinear programming, dynamic programming, integer programming, etc. The basic essence of this science is to build mathematical models consisting of an objective function and constraints. In these models, the objective function is a maximization function or a minimization function for a specific quantity. This quantity depends on …
An Introduction To Single-Valued Neutrosophic Primal Theory,
2024
University of New Mexico
An Introduction To Single-Valued Neutrosophic Primal Theory, Fahad Alsharari, Hanan Alohali, Yaser Saber, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This article explores the interconnections among the single-valued neutrosophic grill, single-valued neutrosophic primal and their stratification, uncovering their fundamental characteristics and correlated findings. By introducing the notion of a single-valued neutrosophic primal, a broader framework including the fuzzy primal and intuitionistic fuzzy primal is established. Additionally, the concept of a single-valued neutrosophic open local function for a single-valued neutrosophic topological space is presented. We introduce an operator based on a single-valued neutrosophic primal, illustrating that the single-valued neutrosophic primal topology is finer than the single-valued neutrosophic topology. Lastly, the concept of single-valued neutrosophic open compatibility between the single-valued neutrosophic primal …
An Entropy Measure For N-Cylindrical Fuzzy Neutrosophic Sets,
2024
University of New Mexico
An Entropy Measure For N-Cylindrical Fuzzy Neutrosophic Sets, Sarannya Kumari R., Sunny Joseph Kalayathankal, Mathews M. George, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
n-Cylindrical fuzzy neutrosophic set (n-CyFNS) is a new variant of fuzzy neutrosophic sets. In this paper our aim is to introduce an entropy measure for n-CyFNS. Here we explained its properties along with examples. Two real life applications, one on better way of shopping and the second on teacher evaluation, based on this proposed entropy measure are also illustrated.
Q-Rung Neutrosophic Sets And Topological Spaces,
2024
University of New Mexico
Q-Rung Neutrosophic Sets And Topological Spaces, Michael Gr. Voskoglou, Florentin Smarandache, Mona Mohamed
Branch Mathematics and Statistics Faculty and Staff Publications
The concept of q-rung orthopair neutrosophic set is introduced in this paper and fundamental properties of it are studied. Also the ordinary notion of topological space is extended to q-rung orthopair neutrosophic environment, as well as the fundamental concepts of convergence, continuity, compactness and Hausdorff topological space. All these generalizations are illustrated by suitable examples.
Fundamentos De Topologias De Vanguardia (Fundamentals Of Vanguard Topologies),
2024
University of New Mexico
Fundamentos De Topologias De Vanguardia (Fundamentals Of Vanguard Topologies), Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Recientemente hemos encontrado nueve nuevas topologías: Topología No Estándar, Mayor Extensión de la Topología Real No Estándar, Topologías Débiles/Fuertes de Triplete Neutrosófico, Topologías Débiles/Fuertes de Triplete Neutrosófico Extendido, Topología de Dupla Neutrosófica, Topología de Dupla Neutrosófica Extendida, Topología de Multi Conjunto Neutrosófico, y recordamos y mejoramos las siete topologías previamente fundadas en los años (2019-2023), a saber: Topología Neutrosófica No Estándar, Neutro Topología, Anti Topología, Topología Neutrosófica Refinada, Topología Nítida Neutrosófica Refinada, Super Hiper Topología y Super Hiper Topología Neutrosófica. Se llaman topologías de vanguardia debido a sus formas innovadoras.
A Refined Neutrosophic Components Into Subcomponents With Plausible Applications To Long Term Energy Planning Predominated By Renewable Energy,
2024
University of New Mexico
A Refined Neutrosophic Components Into Subcomponents With Plausible Applications To Long Term Energy Planning Predominated By Renewable Energy, Victor Christianto, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
It is known that in the long-term planning of future energy supplies, in most countries, it is most likely that the energy mix will be predominated by renewable energy generation. While this feature of a predominating renewable energy mix appears too far fetched, such long term planning has been suggested, for instance, by Mark Jacobson from Stanford and also by John Blackburn. Here we consider two things, the first would be how to consider the long-term energy planning based on neutrosophic logic split into subcomponents.
Unveiling Quantum Communication: From Bell's Inequality To Neutrosophic Logic,
2024
University of New Mexico
Unveiling Quantum Communication: From Bell's Inequality To Neutrosophic Logic, Victor Christianto, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
In this mini-review, we delve into the intriguing realm of quantum communication, spurred by China's recent development of the Tiantong communication satellite. This satellite, shrouded in secrecy, hints at a revolutionary approach to communication that transcends the limitations of conventional signal transmission. We explore the foundational concepts of Bell's inequality and neutrosophic logic, elucidating their roles in understanding the non-local phenomena of quantum entanglement and its potential for secure and rapid communication. Additionally, we examine the connection between Bell's inequality and Shannon information entropy, unveiling the intricate relationship between quantum mechanics and information theory. Through this exploration, we glimpse a …
