Florentín Smarandache
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View article: Designing for Responsible Physics and Sciences with Application to Quantum Shannon Entropy: An Alternative Algorithm for UltraEfficient Video Compression
Designing for Responsible Physics and Sciences with Application to Quantum Shannon Entropy: An Alternative Algorithm for UltraEfficient Video Compression Open
It is known, that many if not most less-developed and under-developed countries still find problems in relation to digital infrastructures, and probably it is quite safe to say that many countries including those in Asia are having mobile …
View article: Soft Directed n-SuperHyperGraphs with Some Real-World Applications
Soft Directed n-SuperHyperGraphs with Some Real-World Applications Open
Graph theory offers a powerful language for encoding relationships via vertices and edges [1]. Hypergraphs extend this by introducing hyperedges that may join any number of vertices at once [2], and superhypergraphs go further still by ite…
View article: Property HyperGraphs and Property SuperHyperGraphs for Data Analysis
Property HyperGraphs and Property SuperHyperGraphs for Data Analysis Open
Graph theory provides a rigorous mathematical foundation for modeling relationshipsvby representing entities as vertices and their interactions as edges [1, 2]. Hypergraphs generalize this paradigm by allowing hyperedges to connect arbitra…
View article: Direct Product of Complex Neutrosophic Subrings
Direct Product of Complex Neutrosophic Subrings Open
The complex neutrosophic set is a generalization of the neutrosophic set with the addition of three phase terms. The complex neutrosophic set deals with periodic data that contains uncertainty, indeterminacy, and falsity. The complex neutr…
View article: Random n-SuperHyperGraphs: A Probabilistic Model and Generation Algorithm for Hierarchical Networks
Random n-SuperHyperGraphs: A Probabilistic Model and Generation Algorithm for Hierarchical Networks Open
Hypergraphs generalize classical graphs by allowing hyperedges to join any nonempty subset of vertices [1]. Superhypergraphs extend this idea by iterating the powerset operation, producing nested layers that capture hierarchical and self-r…
View article: Hierarchical Uncertainty Modeling via (m, n)-Superhyperuncertainand (h, k)-ary (m, n)-Superhyperuncertain Sets: Unified Extensions of Fuzzy, Neutrosophic, Soft, Rough, and Plithogenic Set Theories
Hierarchical Uncertainty Modeling via (m, n)-Superhyperuncertainand (h, k)-ary (m, n)-Superhyperuncertain Sets: Unified Extensions of Fuzzy, Neutrosophic, Soft, Rough, and Plithogenic Set Theories Open
Various set-theoretic frameworks have been widely recognized for their effectiveness in handling uncertainty, including Fuzzy Sets, Neutrosophic Sets, Plithogenic Sets, Rough Sets, and Soft Sets. These foundational models have been further…
View article: From Dialectics to N-Alectics: A Neutrosophic Vision from Latin America
From Dialectics to N-Alectics: A Neutrosophic Vision from Latin America Open
This article proposes a comprehensive examination of the philosophical evolution from traditional dialectical thinking to the emerging framework of N-alectics, viewed through the lens of neutrosophic philosophy and grounded in Latin Americ…
View article: PPG-Based Sleep Stage Classification Using Pulse Wave Feature Fusion and Explainable AI
PPG-Based Sleep Stage Classification Using Pulse Wave Feature Fusion and Explainable AI Open
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)…
View article: Neutrosophic Stance Detection and fsQCA-Based Necessary Condition Analysis for Causal Hypothesis Assessment in AI-Enhanced Learning
Neutrosophic Stance Detection and fsQCA-Based Necessary Condition Analysis for Causal Hypothesis Assessment in AI-Enhanced Learning Open
The phenomenon of artificial intelligence (AI) use in educational settings has attracted in-creasing scholarly attention, although applicable empirical findings are sparse—and con-flicting. This study seeks to resolve the ambiguities surro…
View article: Artificial intelligence, society 5.0 and smart city adaptation initiatives for businesses: An integrated approach
Artificial intelligence, society 5.0 and smart city adaptation initiatives for businesses: An integrated approach Open
View article: Beyond the Light Speed Barrier: A Path from Smarandache’s “No Speed Limit” Hypothesis to Macro Quantum Soliton in the Solar System
Beyond the Light Speed Barrier: A Path from Smarandache’s “No Speed Limit” Hypothesis to Macro Quantum Soliton in the Solar System Open
Smarandache’s “no speed barrier” hypothesis proposes that, in principle, no physical entity is fundamentally constrained to travel slower than any prescribed velocity [1,2]. While the idea is quite simple and based on known hypothesis of q…
View article: Plural Logics and Artificial Intelligence: A Neutrosophic Approach to Causal Analysis
Plural Logics and Artificial Intelligence: A Neutrosophic Approach to Causal Analysis Open
This article proposes a framework of logical pluralism applied to causal analysis in artificial intelligence (AI) and social sciences. Grounded in the pluralist thesis that there is no single monolithic concept of causation, but rather a f…
View article: Neutrosophic Stance Detection and fsQCA-Based Necessary Condition Analysis for Causal Hypothesis Assessment in AI-Enhanced Learning
Neutrosophic Stance Detection and fsQCA-Based Necessary Condition Analysis for Causal Hypothesis Assessment in AI-Enhanced Learning Open
The phenomenon of artificial intelligence (AI) use in educational settings has attracted increasing scholarly attention, although applicable empirical findings are sparse—and conflicting. This study seeks to resolve the ambiguities surroun…
View article: Causal Modeling of Violence in the Metropolitan Area of Guayaquil: Neutrosophic Evidence and Analysis of Necessary Conditions
Causal Modeling of Violence in the Metropolitan Area of Guayaquil: Neutrosophic Evidence and Analysis of Necessary Conditions Open
Urban violence in the Metropolitan Area of Guayaquil poses persistent challenges for social well-being and governance. This study integrates three sources of evidence to clarify which factors are necessary and what minimum levels enable hi…
View article: Neutrosophic Social Evolution: Degrees of Evolution, Indeterminacy, and Involution
Neutrosophic Social Evolution: Degrees of Evolution, Indeterminacy, and Involution Open
The idea of social evolution has been a core component of sociological thought for centuries, influencing our understanding of societal development, transformation, and the factors that drive social change. Traditional approaches, such as …
View article: A Unified Framework for U-Structures and Functorial Structure: Managing Super, Hyper, SuperHyper, Tree, and Forest Uncertain Over/Under/OffModels
A Unified Framework for U-Structures and Functorial Structure: Managing Super, Hyper, SuperHyper, Tree, and Forest Uncertain Over/Under/OffModels Open
A Classical Structureis a mathematical framework on a nonempty set퐻equipped with one or more operations satisfying specified axioms. Here, “Structure” refers broadly to any formal system—from set theory and logic to probability, statistics…
View article: Neutrosophic Materialism: An Extension of Dialectical Materialism
Neutrosophic Materialism: An Extension of Dialectical Materialism Open
Materialism, as a philosophical outlook, has undergone several evolutionary transformations from classical metaphysical materialism to the more dynamic and socially-conscious dialectical materialism proposed by Marx. In this short essay, I…
View article: Quantifying Geothermal Potential: Embracing Uncertainty for Robust National Renewable Estimates
Quantifying Geothermal Potential: Embracing Uncertainty for Robust National Renewable Estimates Open
Geothermal energy, a stable and baseload renewable resource, holds significant promise for decarbonizing global energy systems. However, accurately quantifying its potential remains a challenge due to inherent geological uncertainties. Tra…
View article: Harnessing Quantum Superposition in Soft Set Theory: Introducing Quantum Hypersoft and SuperHyperSoft Sets
Harnessing Quantum Superposition in Soft Set Theory: Introducing Quantum Hypersoft and SuperHyperSoft Sets Open
This paper presents two novel extensions of the Quantum Soft Set framework by integrating the hierarchical structures of hypersoft and superhypersoft sets with quantum superposition principles. Soft sets offer a versatile approach to decis…
View article: Neutrosophic Soft n-Super-HyperGraphs with Real-World Applications
Neutrosophic Soft n-Super-HyperGraphs with Real-World Applications Open
Graph theory provides a fundamental framework for modeling relationships using vertices and edges [1, 2]. Hypergraphs extend this framework by allowing hyperedges that can simultaneously connect multiple vertices [3], while n-Super-HyperGr…
View article: Directed n-Superhypergraphs Incorporating Bipolar Fuzzy Information: A Multi-Tier Framework for Modeling Bipolar Uncertainty in Complex Networks
Directed n-Superhypergraphs Incorporating Bipolar Fuzzy Information: A Multi-Tier Framework for Modeling Bipolar Uncertainty in Complex Networks Open
Graph theory studies the mathematical structures of vertices and edges to model relationships and connectivity. Hypergraphs extend this framework by allowing hyperedges to connect arbitrarily many vertices at once [1], and Super-HyperGraph…
View article: HyperNeutrosophic Set and Forest HyperNeutrosophic Set with Practical Applications in Agriculture
HyperNeutrosophic Set and Forest HyperNeutrosophic Set with Practical Applications in Agriculture Open
The Neutrosophic Set provides a flexible mathematical framework for handling uncertainty by incorporating three distinct membership functions: truth, indeterminacy, and falsity [50]. In response to the growing complexity of real-world prob…
View article: Examples of Fuzzy Sets, Hyperfuzzy Sets, and SuperHyperfuzzy Sets in Climate Change and the Proposal of Several New Concepts
Examples of Fuzzy Sets, Hyperfuzzy Sets, and SuperHyperfuzzy Sets in Climate Change and the Proposal of Several New Concepts Open
A fuzzy set generalizes classical set theory by assigning each element a membership value within [0, 1], allowing for the representation of partial or uncertain membership. It is well established that fuzzy sets can be further extended to …
View article: Considerations of HyperNeutrosophic Set and ForestNeutrosophic Set in Livestock Applications and Proposal of New Neutrosophic Sets
Considerations of HyperNeutrosophic Set and ForestNeutrosophic Set in Livestock Applications and Proposal of New Neutrosophic Sets Open
The Neutrosophic Set offers a robust mathematical framework for handling uncertainty by incorporating three key membership functions: truth, indeterminacy, and falsity [36]. To address the growing complexity of real-world problems, advance…
View article: The Evolution and Limits of Philosophy: A Neutrosophic Perspective
The Evolution and Limits of Philosophy: A Neutrosophic Perspective Open
Philosophy has long been a field that thrives on paradoxes, contradictions, and the perpetual reinvention of ideas. Let us shortly explore the limits of philosophical thought through the lens of neutrosophy, by challenging traditional dich…
View article: Neutrosophy and Infinity: How infinitely big can infinity be?
Neutrosophy and Infinity: How infinitely big can infinity be? Open
The concept of infinity has long been a subject of fascination and contemplation in the history of philosophy. From the ancient Greeks to modern mathematicians and philosophers, infinity has been approached from multiple angles—each offeri…
View article: CViTLNN: A Hybrid Approach based on Vision Transformer and Liquid Neural Network for COVID-19 Detection
CViTLNN: A Hybrid Approach based on Vision Transformer and Liquid Neural Network for COVID-19 Detection Open
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 general…
View article: AI-Driven Automated Helmet Detection in Underground Coal Mines using Attention-Enhanced Vision Transformer
AI-Driven Automated Helmet Detection in Underground Coal Mines using Attention-Enhanced Vision Transformer Open
Ensuring safety compliance in underground coal mines is essential for preventing accidents and safeguarding miners. Traditional methods for monitoring helmet usage are often ineffective due to poor visibility, dust, and equipment occlusion…
View article: A Critical Evaluation of the Criticisms against Neutrosophic Statistical Methods
A Critical Evaluation of the Criticisms against Neutrosophic Statistical Methods Open
View article: A Neutrosophic Approach to Social Phenomena
A Neutrosophic Approach to Social Phenomena Open
Sociology has long sought to understand human societies and the social behaviors within them. It explores the organization, structure, dynamics, and transformations of society over time. However, traditional sociological methods face signi…