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Linguistic Dual Hesitant Hypersoft Set And Their Application With Decision Making In Medical Diagnosis And Treatment, B. Sathiyapriya, V. Pankajam Apr 2026

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 Apr 2026

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 Apr 2026

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 Apr 2026

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 Apr 2026

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 Apr 2026

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 Apr 2026

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 Apr 2026

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 Apr 2026

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 Apr 2026

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 Apr 2026

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 …


Graph Decomposition Techniques In Neutrosophic Zero Divisor Models Of Commutative Ring, K. Gunasekar, P. Muralikrishna Mar 2026

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 Mar 2026

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 Mar 2026

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 Mar 2026

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 Mar 2026

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 Mar 2026

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 Mar 2026

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 Mar 2026

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 Mar 2026

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.


Agricultural And Sustainable Resource Management With Euclidean Distance Measure On Generalized Set Valued Neutrosophic Quintuple Number, Memet Şahin, And Kübra Doğan Mar 2026

Agricultural And Sustainable Resource Management With Euclidean Distance Measure On Generalized Set Valued Neutrosophic Quintuple Number, Memet Şahin, And Kübra Doğan

Neutrosophic Sets and Systems

No abstract provided.


Kernel And Weakly Ultra-Separated Relationship With Separation Axioms In Stable Neutrosophic Crisp Topological Spaces, Nour M. Easi, L. A. A.Jabar, Ali H. M.Al-Obaidi Mar 2026

Kernel And Weakly Ultra-Separated Relationship With Separation Axioms In Stable Neutrosophic Crisp Topological Spaces, Nour M. Easi, L. A. A.Jabar, Ali H. M.Al-Obaidi

Neutrosophic Sets and Systems

No abstract provided.


Determinant Theory For Neutrosophic Hypersoft Rough Fuzzy, G. Punithavalli, K. Ramany Mar 2026

Determinant Theory For Neutrosophic Hypersoft Rough Fuzzy, G. Punithavalli, K. Ramany

Neutrosophic Sets and Systems

No abstract provided.


Ideal Convergence In Neutrosophic 2-Normed Space Via The Parameter Μ And Zweier Operator, Mobeen Ahmad, Nazneen Khan, Mohammad Imran Idrisi, Hira Fatima Mar 2026

Ideal Convergence In Neutrosophic 2-Normed Space Via The Parameter Μ And Zweier Operator, Mobeen Ahmad, Nazneen Khan, Mohammad Imran Idrisi, Hira Fatima

Neutrosophic Sets and Systems

No abstract provided.


Computational Study Of Fuzzy Neutrosophic Soft Matrices In Python: Consistency And Weak Transitivity, M Kavitha, Sive M, P Murugadas, K Rameshware Mar 2026

Computational Study Of Fuzzy Neutrosophic Soft Matrices In Python: Consistency And Weak Transitivity, M Kavitha, Sive M, P Murugadas, K Rameshware

Neutrosophic Sets and Systems

No abstract provided.


N-Cylindrical Neutrosophic M-Open Sets, Anandhi S, Vijayalakshmi R, Shantha Lakshmi K Mar 2026

N-Cylindrical Neutrosophic M-Open Sets, Anandhi S, Vijayalakshmi R, Shantha Lakshmi K

Neutrosophic Sets and Systems

No abstract provided.


Exploring The Structural Aspects Of Interval-Valued Intuitionistic Neutrosophic Fuzzy Ẑ-Subalgebra, K. P. Shanmugapriya, P. Hemavathi, M. Al-Labadi, S. Khalil, A. E. Kadhm, Qays H. Imran Mar 2026

Exploring The Structural Aspects Of Interval-Valued Intuitionistic Neutrosophic Fuzzy Ẑ-Subalgebra, K. P. Shanmugapriya, P. Hemavathi, M. Al-Labadi, S. Khalil, A. E. Kadhm, Qays H. Imran

Neutrosophic Sets and Systems

No abstract provided.


Entropy Generation In Emhd Hybrid Nanofluids: A Neutrosophic Approach With Thermal Radiation And Melting Effects, Srinivasan J, Balakrishnan S, Kanchana M Mar 2026

Entropy Generation In Emhd Hybrid Nanofluids: A Neutrosophic Approach With Thermal Radiation And Melting Effects, Srinivasan J, Balakrishnan S, Kanchana M

Neutrosophic Sets and Systems

No abstract provided.


E-Open Maps And Homeomorphisms In Fermatean Neutrosophic Topological Spaces With Applications To Entropy Measures, Vadivel A, Thamilarasi P, Priya S, P. Periyasamy Mar 2026

E-Open Maps And Homeomorphisms In Fermatean Neutrosophic Topological Spaces With Applications To Entropy Measures, Vadivel A, Thamilarasi P, Priya S, P. Periyasamy

Neutrosophic Sets and Systems

No abstract provided.


A Note On Different Types Of Product Of Fermatean Quadripartitioned Neutrosophic Graphs, Ramya M, Murali S, Radha R, Princy R Mar 2026

A Note On Different Types Of Product Of Fermatean Quadripartitioned Neutrosophic Graphs, Ramya M, Murali S, Radha R, Princy R

Neutrosophic Sets and Systems

No abstract provided.