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Articles 91 - 120 of 210
Full-Text Articles in Entire DC Network
Advancing Common Fixed Point Theorems In Bipolar Fuzzy-2 Metric Space And Applications In Nonlinear Analysis, Rajesh Kumar Saini, Mukesh Kushwaha
Advancing Common Fixed Point Theorems In Bipolar Fuzzy-2 Metric Space And Applications In Nonlinear Analysis, Rajesh Kumar Saini, Mukesh Kushwaha
Neutrosophic Sets and Systems
This study advances common fixed point theorems (CFPT) in bipolar fuzzy-2 metric space (BF2MS) and explores their applications in nonlinear analysis. BF2MS generalizes traditional metric and fuzzy metric spaces (FMS) by incorporating dualistic relationships, allowing the representation of both attraction and repulsion effects. We extend classical fixed point theorems (FPTs) to BF2MS, establishing conditions for the existence of common fixed points (CFPs). The study's applications span nonlinear analysis, stability analysis, control theory, and multi-criteria decision-making under uncertainty. Our findings refine existing results and provide practical real-world applications, supported by numerical examples, enhancing fuzzy mathematics and nonlinear systems modeling.
Complex Neutrosophic Aczel-Alsina Aggregation-Based Hybrid Decision Framework For Machine Learning Encryption In Banking, Muhammad Kamran, Muhammad Shazib Hameed, Muhammad Tahir, Said Broumi, Nurullayev Mirolim Nosirovich
Complex Neutrosophic Aczel-Alsina Aggregation-Based Hybrid Decision Framework For Machine Learning Encryption In Banking, Muhammad Kamran, Muhammad Shazib Hameed, Muhammad Tahir, Said Broumi, Nurullayev Mirolim Nosirovich
Neutrosophic Sets and Systems
Advanced uncertainty modeling tools have emerged due to the growing complexity of real-world decision environments. Complex Single-Valued Neutrosophic Sets (CSV-NSs) use special functions to represent truth, uncertainty, and falsehood, making it easier to show unclear, conflicting, and vague information. CSV NSs, which consider both size and direction of uncertainty, let one more precisely combine and make decisions by using complex numbers. This work presents robust approaches for combining information, which rely on the Aczel-Alsina (A-A) operator and power-weighted strategies specifically designed for CSV-NS. These are included in a used to design hybrid decision-making framework and in the context of a …
Neutrosophic Sets And Systems, Vol. 98, 2026, Florentin Smarandache, Muhammad Abdel-Baset, Maikel Leyva-Vázquez
Neutrosophic Sets And Systems, Vol. 98, 2026, Florentin Smarandache, Muhammad Abdel-Baset, Maikel Leyva-Vázquez
Neutrosophic Sets and Systems
This edition of “Neutrosophic Sets and Systems” presents a diverse collection of studies that contribute to the theoretical development and practical application of neutrosophic, fuzzy, hypersoft, and generalized algebraic systems in complex decision-making and information analysis environments. The published works explore innovative mathematical structures, including generalized neutrosophic topological spaces, neutrosophic algebraic systems, hypersoft and dual hesitant frameworks, multi-valued and n-fold algebraic models, and advanced decision-making methodologies designed to address indeterminacy, inconsistency, vagueness, and multidimensional uncertainty. Several contributions introduce new classes of neutrosophic closed sets, contra continuous mappings, and generalized algebraic operators, extending existing theories in topology, algebra, and set theory. …
Neutrosophic Hyper Ku-Ideals, Ramesh D. Kumar, M. Vasu
Neutrosophic Hyper Ku-Ideals, Ramesh D. Kumar, M. Vasu
Neutrosophic Sets and Systems
This paper introduces the concepts of neutrosophic hyper KU-ideals, including strong, weak, and strong-weak neutrosophic hyper KU-ideals, as well as reflexive neutrosophic hyper KU-ideals within the framework of hyper KU-algebras. Fundamental properties of these structures and the relationships among them are investigated in detail. Special attention is given to the study of neutrosophic weak hyper KU-ideals and the conditions under which a neutrosophic set qualifies as a neutrosophic strong hyper KU-ideal (NSHKUI) or a reflexive neutrosophic hyper KU-ideal. The paper further establishes necessary conditions for a neutrosophic weak hyper KU-ideal (NWHKUI) to become a neutrosophic strong-weak hyper KU-ideal (NsWHKUI), as …
Linguistic Dual Hesitant Hypersoft Set And Their Application With Decision Making In Medical Diagnosis And Treatment, B. Sathiyapriya, V. Pankajam
Linguistic Dual Hesitant Hypersoft Set And Their Application With Decision Making In Medical Diagnosis And Treatment, B. Sathiyapriya, V. Pankajam
Neutrosophic Sets and Systems
This study presents Linguistic Dual Hesitant Hypersoft Set (LDHHS) for Analysing Medical Diagnose. In LDHHS, linguistic terms are combined with Dual Hesitant logic to handle uncertainty and vagueness in Decision-Making. The Hypersoft Set extend traditional soft sets by handling multi-attributes and interdependent parameters in Decision-Making. In the context of LDHHS can be used to categorize and assess different aspects of Aggregation and using Decision-Making in Medical Diagnose. In this study the development of this framework, its application and its potential impact using a Gastroesophageal reflux disease (GERD) case study to illustrate its effectiveness.
Neutrosophic Πgγ* Closed Sets In Neutrosophic Topological Spaces, K. Sakthivel, A. Gomathi
Neutrosophic Πgγ* Closed Sets In Neutrosophic Topological Spaces, K. Sakthivel, A. Gomathi
Neutrosophic Sets and Systems
This paper introduces and investigate the notion of Neutrosophic πgγ* closed sets within the framework of Neutrosophic topological spaces. The study begins defining Neutrosophic πgγ* closed sets and proceeds to investigate their fundamental properties and characterizations. Special attention is given to examining how these sets interrelate with and extend existing classes of Neutrosophic closed sets. By establishing inclusion relations and comparative hierarchies, the paper highlights the significance of Neutrosophic πgγ* closed sets in broadening the structural understanding of Neutrosophic topologies. Furthermore, several illustrative examples are provided to demonstrate the distinctive features of these sets and to clarify their role in …
Neutrosophic Quadruple Metric Spaces And Neutrosophic Quadruple Normed Spaces, Memet Şahin, Arif Sarıoğlan, Amanzholova Alina Bolatkyzy
Neutrosophic Quadruple Metric Spaces And Neutrosophic Quadruple Normed Spaces, Memet Şahin, Arif Sarıoğlan, Amanzholova Alina Bolatkyzy
Neutrosophic Sets and Systems
This study establishes fundamental results in the emerging domains of neutrosophic quadruple metric spaces and neutrosophic quadruple normed spaces. Building upon the recent definition of neutrosophic quadruple metric spaces, the first primary contribution is the development of fixed-point theory within this generalized framework. Specifically, we formulate and rigorously prove an analogue of the Banach contraction principle tailored for neutrosophic quadruple metric spaces. Furthermore, we establish additional fixed-point theorems applicable in this context, extending foundational results from classical metric spaces and simpler neutrosophic structures to handle the increased complexity and uncertainty modeled by quadruple-valued neutrosophic sets. The second major contribution involves …
Comparisons Of Infinitesimally Punctured Wave With Copenhagen And De Broglie-Bohm Interpretations, Neutrosophic Quantum Mechanics, And Non-Linear Electromagnetics, Florentin Smarandache
Comparisons Of Infinitesimally Punctured Wave With Copenhagen And De Broglie-Bohm Interpretations, Neutrosophic Quantum Mechanics, And Non-Linear Electromagnetics, Florentin Smarandache
Neutrosophic Sets and Systems
The article’s goal is to compare the "infinitesimally punctured wave" with the major interpretations of the fundamental philosophical differences in how physicists view reality at the quantum level.
Role Of Clans In The Proximities Of Neutrosophic Sets, R. Subasree, K. Basari Kodi, Giorgio Nordo, K. Subramanian, N. Nagamani
Role Of Clans In The Proximities Of Neutrosophic Sets, R. Subasree, K. Basari Kodi, Giorgio Nordo, K. Subramanian, N. Nagamani
Neutrosophic Sets and Systems
In this study, the terms filters, grills, clans, and proximities of neutrophic sets are defined. Further some of its properties are investigated and the results are provided.
Contra Continuous And Irresolute Maps Via M-Open Sets In N-Cylindrical Neutrosophic Topological Spaces, S. Anandhi, R. Vijayalakshmi, Shantha K. Lakshmi
Contra Continuous And Irresolute Maps Via M-Open Sets In N-Cylindrical Neutrosophic Topological Spaces, S. Anandhi, R. Vijayalakshmi, Shantha K. Lakshmi
Neutrosophic Sets and Systems
This paper introduces and investigates the concept of n-cylindrical neutrosophic contra M-continuous mappings within the framework of n-cylindrical neutrosophic topological spaces. Motivated by recent advances in neutrosophic contra continuous functions, irresolute mappings, and n-cylindrical fuzzy neutrosophic topological structures, the study establishes several fundamental properties of n-cylindrical neutrosophic contra M-irresolute mappings. The proposed mappings are analyzed in relation to existing classes of neutrosophic contra continuous and contra irresolute functions, highlighting their structural properties and interrelationships. The obtained results extend and generalize earlier studies in neutrosophic topology, thereby contributing to the theoretical development of neutrosophic topological spaces. Furthermore, this work provides a …
Nonagonal Neutrosophic Number: Analytical Aspects And Its Role In Optimization Technique For Transportation Problem, B. Sincy, V. M. Riya
Nonagonal Neutrosophic Number: Analytical Aspects And Its Role In Optimization Technique For Transportation Problem, B. Sincy, V. M. Riya
Neutrosophic Sets and Systems
Neutrosophic numbers have received increasing attention from researchers and industrialists to address the indeterminacy and uncertainty inherent in real-life decision-making. This study aims to solve the transportation problem where supply, demand and transportation costs are Nonagonal Neutrosophic Numbers (NNNs). In the existing literature, various methods have been introduced to solve transportation problems (TPs) involving neutrosophic parameters. The application of Nonagonal Neutrosophic Numbers to transportation problems is a relatively recent development. NNNs offer a more detailed and adaptable representation of uncertainty by utilizing a nine-parameter structure that captures the degrees of truth, indeterminacy, and falsity. Therefore, in this paper, we solve …
Horizontal And Vertical Generalized N-Fold Algebra: Formal Construction And Applications In Multi-Dimensional Modeling, Florentin Smarandache
Horizontal And Vertical Generalized N-Fold Algebra: Formal Construction And Applications In Multi-Dimensional Modeling, Florentin Smarandache
Neutrosophic Sets and Systems
This paper extends the recently developed framework of Neutrosophic Logic-based Two-Fold Algebra (TFA), which was designed to integrate classical algebraic operations with fuzzy and neutrosophic components for modeling uncertainty alongside deterministic structures. Although TFA successfully combines algebraic operations with uncertainty descriptors, its binary structure becomes restrictive in applications requiring the simultaneous integration of multiple independent qualification dimensions, such as risk, sustainability, reliability, and performance assessment. To address this limitation, the paper introduces two generalized frameworks: Horizontal n-Fold Algebra and Vertical n-Fold Algebra, together forming the generalized n-Fold Algebra (n-FA), together with the extension from two-valued to multi-valued operations where m≥2. …
Integral Type Contractive Condition In E-Chainable Neutrosophic Metric Space And Common Fixed Point Theorem, Rajesh Kumar Saini, Mukesh Kushwaha, Moh. Kasim
Integral Type Contractive Condition In E-Chainable Neutrosophic Metric Space And Common Fixed Point Theorem, Rajesh Kumar Saini, Mukesh Kushwaha, Moh. Kasim
Neutrosophic Sets and Systems
Nonlinear Optimization, Game theory, economics and study of differential equations are just a few of the many domains in which fixed point theory (FPT) is essential. It is possible to construct new forms of infinite products by using continuous triangular norms (TN) and continuous triangular co-norms (TC). Banach contraction principal has been established in the context of neutrosophic metric space (NMS) within the framework through the use of these newly define infinite products. We introduced integral type contractive condition in -chainable NMS and establishes a common fixed point theorems (CFPTs) in the current work. The result acquired in this study …
Operations On Pythagorean Neutrosophic Fuzzy Matrix, V. Surya, Sophia R. Porchelvi
Operations On Pythagorean Neutrosophic Fuzzy Matrix, V. Surya, Sophia R. Porchelvi
Neutrosophic Sets and Systems
This article discusses various unique varieties of Pythagorean neutrosophic fuzzy matrices (PNFM). Some fundamental operations such as addition, multiplication, union, intersection, complement, and exponen tial are discussed. This work introduces algebraic operations on PNFM and demonstrates some of its associated theorems, including distributive, commutative, and associative. The purpose of these investigations is to con tribute to a better understanding of PNFM and its use in real-world uncertainty.
The Α-Discounting (Α-Dmcdm) As An Extension Of Ahp, Topsis, Vikor, Promethee, And Weighted Sum, Florentin Smarandache
The Α-Discounting (Α-Dmcdm) As An Extension Of Ahp, Topsis, Vikor, Promethee, And Weighted Sum, Florentin Smarandache
Neutrosophic Sets and Systems
This paper presents a comprehensive study of the α-Discounting Multi-Criteria Decision Making (α-D MCDM) method, an extension of the classical Multi-Criteria Decision Making framework designed to address inconsistencies and complex preference structures in decision analysis. Traditional methods such as the Analytic Hierarchy Process (AHP) and related MCDM techniques perform effectively when decision makers provide consistent pairwise comparisons; however, real-world decision problems frequently involve inconsistent, n-wise, interval-valued, or non-linear preference relations that exceed the capabilities of classical approaches. The proposed α-D MCDM method introduces a global discounting parameter α, which transforms inconsistent systems of preference equations into solvable algebraic models while …
Closing The Loop In Sustainable Fashion: Recycling Textile Waste And Its Environmental, Social, And Consumer Impacts, Anthony Amotoe-Bondzie
Closing The Loop In Sustainable Fashion: Recycling Textile Waste And Its Environmental, Social, And Consumer Impacts, Anthony Amotoe-Bondzie
Collected Student Papers
Fast fashion has intensified textile waste, emissions, and social inequities across global supply chains. This study examines sustainable fashion frameworks and the role of textile recycling in advancing circularity. It employes a qualitative integrative literature review synthesizing interdisciplinary research on waste streams, recycling technologies, policy instruments, and consumer behavior. However, advanced recycling technologies offer environmental benefits but remain limited in scale. Nonetheless, rising consumption offsets efficiency gains, while economic and behavioral barriers hinder systemic change. Technological innovation alone is insufficient; circular design, regulatory enforcement, and reduced overproduction are essential for sustainable transformation.
Neutrosophic Sets In Neural Networks: Theory, Applications, And Challenges, Vladimir Simic, Dragan Pamucar, Hafiz Muhammad Athar Farid
Neutrosophic Sets In Neural Networks: Theory, Applications, And Challenges, Vladimir Simic, Dragan Pamucar, Hafiz Muhammad Athar Farid
Neutrosophic Systems with Applications
The integration of neutrosophic sets into neural networks presents a novel approach to handling uncertainty, indeterminacy, and falsity in data. Traditional neural networks typically operate under the assumption of precise and complete data, but real-world applications often involve noisy, incomplete, or ambiguous information. Neutrosophic sets extend fuzzy logic by incorporating three components: truth, indeterminacy, and falsity, allowing for a more nuanced representation of uncertain data. This paper explores the theoretical foundations of neutrosophic sets and their integration with neural networks, highlighting the challenges in computational complexity, training, and optimization. The paper also discusses the potential applications of neutrosophic neural networks …
Neutrosophic Probability With Dynamic Temporal Uncertainty (Nptu), Bhimraj Basumatary, Ashoke Kumar Brahma
Neutrosophic Probability With Dynamic Temporal Uncertainty (Nptu), Bhimraj Basumatary, Ashoke Kumar Brahma
Neutrosophic Systems with Applications
This paper introduces Neutrosophic Probability with Dynamic Temporal Uncertainty (NPTU), an extension of classical neutrosophic probability that incorporates the dimension of time. In classical neutrosophic probability, the degrees of truth, indeterminacy, and falsity are considered static. However, real-world uncertainties evolve, and their degrees change as new information becomes available. NPTU models these uncertainties dynamically, allowing for more accurate decision-making in time-varying environments. The paper explores key mathematical properties of NPTU, including entropy, distance measures, similarity measures, and Kullback-Leibler (KL) divergence, to quantify and compare temporal uncertainty states. The proposed framework is demonstrated through a case study on stock price prediction, …
Emergent Operator Logic: A Foundational Framework For Dynamic Reasoning And Generative Intelligence, Mona Gharib, Abduallah Gamal, Muhammad Nawaz, Basma Nasir
Emergent Operator Logic: A Foundational Framework For Dynamic Reasoning And Generative Intelligence, Mona Gharib, Abduallah Gamal, Muhammad Nawaz, Basma Nasir
Neutrosophic Systems with Applications
This paper introduces Emergent Operator Logic (EOL), a framework that treats propositions as continuous operators $F_p:X \rightarrow X$ on a complete metric state space $( X,d )$ and evaluates truth after action via a continuous valuation $V:X \rightarrow [ 0,1 ]$. Logical composition is realized by three operator-level connectives: sequential $p \circ q$(causal order), parallel $p\parallel q$(1-Lipschitz cooperative blend), and the emergent synthesis $E( p,q ) = \frac12( F_p \circ F_q + F_q \circ F_p )$, which symmetrizes non-commuting actions. We provide a Hilbert-style proof system (sound), an algebraic semantics via E-algebras, and show that the category of E-algebras is …
Double-Valued Complex Neutrosophic Graphs, Suriyakumar G, V. J. Sudhakar, Takaaki Fujita
Double-Valued Complex Neutrosophic Graphs, Suriyakumar G, V. J. Sudhakar, Takaaki Fujita
Neutrosophic Systems with Applications
This paper introduces a novel graph-theoretic framework, called the double-valued complex neutrosophic graph, as an extension of double-valued neutrosophic set theory. Within this framework, we investigate several important classes of such graphs, including self-complementary, strong, and full double-valued complex neutrosophic graphs, and establish a number of their fundamental properties. To clarify the proposed concepts and demonstrate their structural behavior, several relevant illustrative examples are also provided.
A Hybrid Multi-Criteria Decision-Making Approach For Sustainable Forest Fire Monitoring Using Unmanned Aerial Vehicles, Mohamed Eassa, Ahmed Abdelhafeez, Ahmad M. Nagm
A Hybrid Multi-Criteria Decision-Making Approach For Sustainable Forest Fire Monitoring Using Unmanned Aerial Vehicles, Mohamed Eassa, Ahmed Abdelhafeez, Ahmad M. Nagm
Neutrosophic Systems with Applications
Unmanned aerial vehicles (UAVs) have become an effective tool for forest fire monitoring. This study evaluates UAVs for forest fire management, addressing the challenges posed by ambiguous and uncertain factors. Single-valued neutrosophic sets (SVNSs) are employed to model complex uncertainties, as they incorporate three distinct membership values: false, true, and indeterminate. The evaluation of UAVs is a multifaceted task due to the variety of factors involved. To address this complexity, multi-criteria decision-making (MCDM) methods are used. Specifically, the Analytic Hierarchy Process (AHP) and the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) are integrated with SVNS to …
Graph Decomposition Techniques In Neutrosophic Zero Divisor Models Of Commutative Ring, K. Gunasekar, P. Muralikrishna
Graph Decomposition Techniques In Neutrosophic Zero Divisor Models Of Commutative Ring, K. Gunasekar, P. Muralikrishna
Neutrosophic Sets and Systems
No abstract provided.
Multi-Attribute Decision-Making For Road Slope Treatment Selection Based On Spherical Single-Valued Neutrosophic Value Triangular Aggregation Operators, Jun Ye, Jibo Qin
Multi-Attribute Decision-Making For Road Slope Treatment Selection Based On Spherical Single-Valued Neutrosophic Value Triangular Aggregation Operators, Jun Ye, Jibo Qin
Neutrosophic Sets and Systems
No abstract provided.
Eoq Model For Deteriorating Items With Exponential Demand Rate, Price Dependence And Shortages Under Trapezoidal And Neutrosophic Fuzzy Techniques, Partha Ray, Agniva Dey, Somen Seal
Eoq Model For Deteriorating Items With Exponential Demand Rate, Price Dependence And Shortages Under Trapezoidal And Neutrosophic Fuzzy Techniques, Partha Ray, Agniva Dey, Somen Seal
Neutrosophic Sets and Systems
No abstract provided.
The Neutrosophic New Xlindley Distribution: Statistical Properties, Estimation, Simulation, And Application, Fatima Zohra Zeghbib, Halim Zeghdoudi
The Neutrosophic New Xlindley Distribution: Statistical Properties, Estimation, Simulation, And Application, Fatima Zohra Zeghbib, Halim Zeghdoudi
Neutrosophic Sets and Systems
No abstract provided.
Application Of Neutrosophic Resolving Sets In Earthquake Disaster Management Using Neutrosophic Graph Models, Shanmugapriya R, Sangeetha P
Application Of Neutrosophic Resolving Sets In Earthquake Disaster Management Using Neutrosophic Graph Models, Shanmugapriya R, Sangeetha P
Neutrosophic Sets and Systems
No abstract provided.
On Fermatean Neutrosophic E-Continuous And E-Irresolute Maps, Vadivel A, Thamilarasi P, Priya S
On Fermatean Neutrosophic E-Continuous And E-Irresolute Maps, Vadivel A, Thamilarasi P, Priya S
Neutrosophic Sets and Systems
No abstract provided.
Class Of Analytic Function Defined By Neutrosophic Poisson Distribution, Olushola Adeyemo, Sayo Abidemi Gbangbala, Adeniyi Abimbola Ayeni, Folorunso Isola Akinwale, Abel Onaolapo Aremu
Class Of Analytic Function Defined By Neutrosophic Poisson Distribution, Olushola Adeyemo, Sayo Abidemi Gbangbala, Adeniyi Abimbola Ayeni, Folorunso Isola Akinwale, Abel Onaolapo Aremu
Neutrosophic Sets and Systems
No abstract provided.
Fermatean Quadripartitioned Neutrosophic Ideals In Subtraction Algebra, Ramya M, Murali S, Radha R, Princy R
Fermatean Quadripartitioned Neutrosophic Ideals In Subtraction Algebra, Ramya M, Murali S, Radha R, Princy R
Neutrosophic Sets and Systems
No abstract provided.
Neutrosophic Up (Bcc)-Subalgebras Of Several Types: A Threshold-Based Analysis In Up (Bcc)-Algebras, Aiyared Iampan, Neelamegarajan Rajesh
Neutrosophic Up (Bcc)-Subalgebras Of Several Types: A Threshold-Based Analysis In Up (Bcc)-Algebras, Aiyared Iampan, Neelamegarajan Rajesh
Neutrosophic Sets and Systems
No abstract provided.