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A Robust Framework For Medical Diagnostics Based On Interval-Valued Q-Neutrosophic Soft Sets With Aggregation Operators, Enad Ghazi, Sinan O. Al-Salihi Jun 2024

A Robust Framework For Medical Diagnostics Based On Interval-Valued Q-Neutrosophic Soft Sets With Aggregation Operators, Enad Ghazi, Sinan O. Al-Salihi

Neutrosophic Sets and Systems

The best way to deal with complicated life scenarios that accompany the decision-making process is to update previous concepts constantly. Therefore, researchers must constantly discover powerful mathematical tools that suit the accompanying circumstances. In this regard, we combine both soft set, neutrosophic set, and interval setting under Q-two-dimensional universal information to introduce a new hybrid innovative model called interval valued-Q-neutrosophic soft sets. The core goal of this model is to keep the features of previous models like soft sets, neutrosophic sets, and Q-Fuzzy sets in dealing with the lack of uncertainty and neutrality associated with real-life issues. This new approach …


Evaluation Of The Shortest Path Based On The Traveling Salesman Problem With A Genetic Algorithm In A Neutrosophic Environment, Prasanta Kumar Raut, Siva Prasad Behera, Said Broumi, Arindam Dey, Mohamed Talea, Amarendra Baral Jun 2024

Evaluation Of The Shortest Path Based On The Traveling Salesman Problem With A Genetic Algorithm In A Neutrosophic Environment, Prasanta Kumar Raut, Siva Prasad Behera, Said Broumi, Arindam Dey, Mohamed Talea, Amarendra Baral

Neutrosophic Sets and Systems

In The traveling salesman problem (TSP) is an essential and the most popular conventional combinatorial optimization network problem in operations research, in which the TSP evaluates the shortest route or path in a network. In TSP, every node has been visited only once, excluding the starting node. In TSP, edge lengths are usually expressed to indicate journey time and expenses instead of distance from a location. The exact arc length can't be predicted because journey times and expenses vary depending on the amount of payload, climate, highway conditions, and so on. As a result, the Neutrosophic numbers introduce a new …


Treesoft Approach For Refining Air Pollution Analysis: A Case Study, M. Myvizhi, Ahmed A. Metwaly, Ahmed M. Ali Jun 2024

Treesoft Approach For Refining Air Pollution Analysis: A Case Study, M. Myvizhi, Ahmed A. Metwaly, Ahmed M. Ali

Neutrosophic Sets and Systems

The ongoing research employs both the neutrosophic set and the Decision Making and Evaluation Method (DEMATEL) to analyze and determine the factors influencing supplier selection within the realm of Supply Chain Management (SCM). Recognized as a proactive strategy for enhancing performance and securing competitive advantages, DEMATEL guides this investigation. The study utilizes neutrosophic set Theory to refine overall assessments, introducing a novel scale to distinctly represent each value. Through a practical case study focusing on selecting the optimal supplier for a distribution company, the proposed methodology's application is illustrated. The research framework integrates a neutrosophic DEMATEL approach for data collection, …


On Generalized Difference Rough Ideal Statistical Convergence In Neutrosophic Normed Spaces, Manpreet Kaur, Meenakshi Chawla Jun 2024

On Generalized Difference Rough Ideal Statistical Convergence In Neutrosophic Normed Spaces, Manpreet Kaur, Meenakshi Chawla

Neutrosophic Sets and Systems

This article’s main goal is to provide and investigate a novel statistical convergence generalisation for generalized difference sequences in Neutrosophic Normed Spaces (NNS) called rough ideal statistical con vergence. The collection of approximate optimal statistical limit points and cluster points is defined, and their algebraic and topological features are examined. Additionally, we included the relationship for generalized dif ference sequences in NNS between rough I-statistical cluster points and rough I-statistical limit points.


A Survey On Neutrosophic Principles For Inventory Management Problem, Ankit Dubey, Arindam Dey, Said Broumi, Ranjan Kumar Jun 2024

A Survey On Neutrosophic Principles For Inventory Management Problem, Ankit Dubey, Arindam Dey, Said Broumi, Ranjan Kumar

Neutrosophic Sets and Systems

This paper presents a thorough assessment and classi cation of di erent uncertain environments used by researchers to analyze inventory management(IM) systems across various sectors, such as ABC anal ysis, Last In, First Out (LIFO), and batch tracking. Moreover, it introduces the concepts of the neutrosophic principle and fuzzy principle in inventory management. it also investigates the di culties associated with the traditional inventory model. The primary focus of the study lies in inventory management under the Neu trosophic principle, speci cally addressing uncertain demand and imprecise data. By shedding light on the potential of neutrosophic principle, this manuscript contributes …


On Rough Statistical Convergence In Neutrosophic Normed Spaces, Reena Antal, Meenakshi Chawla, Vijay Kumar Jun 2024

On Rough Statistical Convergence In Neutrosophic Normed Spaces, Reena Antal, Meenakshi Chawla, Vijay Kumar

Neutrosophic Sets and Systems

In this paper, we have presented rough statistical convergence of sequence on neutrosophic normed spaces as an important convergence criterion. As neutrosophication can handle partially dependent compo nents, partially independent components and even independent components involved in real-world problems. By examining some properties related to rough convergence in these spaces we provide some useful functional tools in the situations of inconsistency and indeterminacy in the real world. Further, we have established some equivalent conditions on the set of statistical limit points as well as on the set of cluster points in these spaces for rough statistically convergent sequences.


Triplemask Spatial Linear Filter And Neutrosophic Entropy For Video Denoising, Face Detection And Recognition In Forensic Crime Analysis Using Deep Learning, Anita Sigamani, Prema Selvaraj May 2024

Triplemask Spatial Linear Filter And Neutrosophic Entropy For Video Denoising, Face Detection And Recognition In Forensic Crime Analysis Using Deep Learning, Anita Sigamani, Prema Selvaraj

Neutrosophic Sets and Systems

Forensic Science is the application of Scientific methods to resolve crime and legal issues. It involves various disciplines, such as Computer Science, Biology, Chemistry and Anthropology. Forensic scientists examine and analyze evidence from crime scenes, such as fingerprints, DNA, blood, or weapons. Digital proof is one of the forms of forensic evidence. It provide real time eye witness of the incident. Video recordings enable investigators to find out what exactly has transpired. Investigators use video evidence as a source for witness statements, and it aids in the search for the missing person or suspect. Video evidence is also used to …


Single-Valued Pentapartitioned Neutrosophic Soft Set, Bimal Shil, Suman Das, Rakhal Das, Surapati Pramanik May 2024

Single-Valued Pentapartitioned Neutrosophic Soft Set, Bimal Shil, Suman Das, Rakhal Das, Surapati Pramanik

Neutrosophic Sets and Systems

Soft set (SS) and neutrosophic set (NS) are important mathematical concepts to deal with uncertainty. NS was further extended to pentapartitioned neutrosophic set (PNS) to deal with uncertainty comprehensively. In order to expand the concept of single-valued pentapartitioned neutrosophic set (SVPNS) and SS, the paper aims to introduce the concept of single-valued pentapartitioned neutrosophic soft set (SVPNS-Set) by adding the ideas of SS and SVPNS together. Furthermore, based on SVPNS-Set, several definitions, examples, properties, propositions and theorems have been established.


Approach To Multi-Criteria Decision-Making In A Neutrosophic Picture Hyper-Soft Set Environment Using Generalized Neutrosophic Topsis, Manpreet Kaur, Akanksha Singh May 2024

Approach To Multi-Criteria Decision-Making In A Neutrosophic Picture Hyper-Soft Set Environment Using Generalized Neutrosophic Topsis, Manpreet Kaur, Akanksha Singh

Neutrosophic Sets and Systems

Given the complexity of today’s world, we might need to work with numbers requiring multi-attribute functions, such as those having positive, neutral, and negative membership and those having truth, indeterminacy, and falsity membership. Adding these numbers together to get a single real number is the most important factor. In situations like this, decision-makers have more difficult choices and are unable to apply the single attribute function of the soft set theory. To address this constraint, the hyper-soft set theory with multi-attribute functions is introduced. We combine the notion of neutrosophic hypersoft set with picture fuzzy hypersoft set to form a …


New Similarity Measures For Neutrosophic Binary Topology Using Euclidean Distance, J. Elekiah, G. Sindhu May 2024

New Similarity Measures For Neutrosophic Binary Topology Using Euclidean Distance, J. Elekiah, G. Sindhu

Neutrosophic Sets and Systems

This paper focuses on introducing a new similarity measure for the neutrosophic binary set.Similarity measure are used in multi attribute desicion making problems to find the difference be tween the alternatives.In this paper a new measure based on Euclidean distance is introduced to find the measure between two binary single valued neutrosophic set.Further its is applied in a multi attribute desicion problem to see the attainability of the proposed measure


Evaluation Strategies Of Leadership Management In Healthcare Systems: An Integrated Type-Ii Neutrosophic Optimization Approach, Areej Hamoud Alharbi, Hayam M. Jabali, Preethi Rajan May 2024

Evaluation Strategies Of Leadership Management In Healthcare Systems: An Integrated Type-Ii Neutrosophic Optimization Approach, Areej Hamoud Alharbi, Hayam M. Jabali, Preethi Rajan

Neutrosophic Sets and Systems

This study presented a decision-making methodology to evaluate leadership management strategies in healthcare systems. This study used the multi-criteria decision-making (MCDM) methodology to deal with conflicting criteria in the decision-making process. The MCDM methodology is integrated with neutrosophic sets to deal with uncertainty and vague information in decision-making. The neutrosophic set has three memberships: truth, indeterminacy, and falsity. The type-2 neutrosophic set is a subset of the neutrosophic set with nine membership degrees. The neutrosophic set integrated with the COPRAS method to rank the alternatives. fourteen criteria and eleven alternatives are used to evaluate leadership management in healthcare systems. The …


The Indefinite Symbolic Plithogenic Trigonometric Integrals, Yaser Ahmad Alhasan, Suliman Sheen, Raja Abdullah Abdulfatah, Mohammed Mustafa Ahmed May 2024

The Indefinite Symbolic Plithogenic Trigonometric Integrals, Yaser Ahmad Alhasan, Suliman Sheen, Raja Abdullah Abdulfatah, Mohammed Mustafa Ahmed

Neutrosophic Sets and Systems

This paper discussed the indefinite plithogenic trigonometric integrals, where we presented the integrating products of plithogenic trigonometric function, also studying the plithogenic trigonometric identities, which facilitated finding the integral of the associated formulas. In addition to a set of exercises that clarify each idea.


Solving The Minimum Spanning Tree Problem Under Interval-Valued Fermatean Neutrosophic Domain, Souhail Dhouib, Vidhya K, Said Broumi, Mohamed Talea May 2024

Solving The Minimum Spanning Tree Problem Under Interval-Valued Fermatean Neutrosophic Domain, Souhail Dhouib, Vidhya K, Said Broumi, Mohamed Talea

Neutrosophic Sets and Systems

In classical graph theory, the minimal spanning tree (MST) is a subgraph that lacks cycles and efficiently connects every vertex by utilizing edges with the minimum weights. The computation of a minimum spanning tree for a graph has been a pervasive problem over time. However, in practical scenarios, uncertainty often arises in the form of fuzzy edge weights, leading to the emergence of the Fuzzy Minimum Spanning Tree (FMST). This specialized approach is adept at managing the inherent uncertainty present in edge weights within a fuzzy graph, a situation commonly encountered in real-world applications. This study introduces the initial optimization …


Single-Valued Quadripartitioned Neutrosophic D-Ideal Of D-Algebra, Bimal Shil, Rakhal Das, Carlos Granados, Suman Das, Binod Chandra Tripathy May 2024

Single-Valued Quadripartitioned Neutrosophic D-Ideal Of D-Algebra, Bimal Shil, Rakhal Das, Carlos Granados, Suman Das, Binod Chandra Tripathy

Neutrosophic Sets and Systems

The conception of single-valued quadripartitioned neutrosophic d-ideal (SVQN-d-I) of single-valued quadripartitioned neutrosophic d-algebra (SVQN-d-A) as an expansion of neutrosophic d-Ideal and neutrosophic d-Algebra has been attempted to be introduced in this article. Additionally, we identify various characteristics of them. Additionally, SVQN-d-I and SVQN-d-A examples have been provided.


Fuzzy Metric Spaces Of The Two-Fold Fuzzy Algebra, Hazim M. Wali Al-Tameemi May 2024

Fuzzy Metric Spaces Of The Two-Fold Fuzzy Algebra, Hazim M. Wali Al-Tameemi

Neutrosophic Sets and Systems

This paper is dedicated to defining and studying for the first time the concept of fuzzy metric spaces based on two-fold fuzzy algebras, where the elementary properties of this new concept will be studied and presented by many theorems and related examples that explain the validity of our work. Also, many different types of open and closed balls will be discussed, as well as the relationships between these metric substructures.


The Refined Indefinite Neutrosophic Integral, Yaser Ahmad Alhasan, Mohammed Mustafa Ahmed, Raja Abdullah Abdulfatah, Suliman Sheen May 2024

The Refined Indefinite Neutrosophic Integral, Yaser Ahmad Alhasan, Mohammed Mustafa Ahmed, Raja Abdullah Abdulfatah, Suliman Sheen

Neutrosophic Sets and Systems

This work presented the refined neutrosophic indefinite integral, where the substitution method for calculating integrals in the refined neutrosophic field that contain two part of indeterminacy (��1,��2) was presented. We also proved a theorem through which we were able to find most of the integrals for the refined neutrosophic functions.


Critical Path Method & Project Evaluation And Review Technique: A Neutrosophic Review, Navya Pratyusha M, Arindam Dey, Said Broumi, Ranjan Kumar May 2024

Critical Path Method & Project Evaluation And Review Technique: A Neutrosophic Review, Navya Pratyusha M, Arindam Dey, Said Broumi, Ranjan Kumar

Neutrosophic Sets and Systems

Fuzzy, intuitionistic, and neutrosophic sets are the primary focus of the review investigation under the extension concepts. The significance and use of triangular shape for data representation are investigated. For modelling and expressing ambiguous or complex data, the triangle shape is a useful tool due to its simplicity and computational efficiency. Further study involves the tool of the operations research technique i.e., Network Analysis that helps in implementing and developing using the fuzzy extension principle. Critical Path Method (CPM) & Project Evaluation and Review Technique (PERT) plays a major part in the field of network in various decision-making scenarios using …


Harnessing Pliancy Tree Soft Sets In Heart Diseases For Extracting Beneficial Rules Of Association Rules, Gawaher S. Hussein, Khalid A. Eldrandaly, Abdelnasser H. Zaied, Samar L. Elhawy, Mona Mohamed May 2024

Harnessing Pliancy Tree Soft Sets In Heart Diseases For Extracting Beneficial Rules Of Association Rules, Gawaher S. Hussein, Khalid A. Eldrandaly, Abdelnasser H. Zaied, Samar L. Elhawy, Mona Mohamed

Neutrosophic Sets and Systems

Cardiovascular diseases (CVDs)continue to be the primary cause of mortality, accounting for approximately one-third of all fatalities globally. This spawned the proposal of models in several studies. Accordingly, this study contributed to diagnosing heart disease through suggesting soft diagnosis paradigm. Various techniques have been volunteered for serving the suggested paradigm toward achieving its objective. Additionally, this study provided set of contributions. For instance, Tree Soft Technique (TrST) is applied for the first time for forming attributes and sub attributes of patients into nodes and sub-nodes of Tree to obtain relations between it. Even, the study support stakeholders to making accurate …


N Example Of Two-Fold Fuzzy Algebras Based On Neutrosophic Real Numbers, Abdallah Shihadeh, Khaled Ahmad Matarneh, Raed Hatamleh, Randa Bashir Hijazeen, Abdallah Al-Husban, Mowafaq Omar Al-Qadri May 2024

N Example Of Two-Fold Fuzzy Algebras Based On Neutrosophic Real Numbers, Abdallah Shihadeh, Khaled Ahmad Matarneh, Raed Hatamleh, Randa Bashir Hijazeen, Abdallah Al-Husban, Mowafaq Omar Al-Qadri

Neutrosophic Sets and Systems

This paper is dedicated to defining and studying for the first time a two-fold algebra over the neutrosophic real number ring by merging the fuzzy set mapping with the algebraic operations of the neutrosophic real number ring. Also, we study the elementary algebraic properties of the defined two-fold algebra through its algebraic operations and substructures such as homomorphisms and ideals.


Theory Of Distances In Neutrogeometry, Erick González Caballero, Florentin Smarandache May 2024

Theory Of Distances In Neutrogeometry, Erick González Caballero, Florentin Smarandache

Neutrosophic Sets and Systems

NeutroGeometry is one of the most recent approaches to geometry. In NeutroGeometry mod els, the main condition is to satisfy an axiom, definition, property, operator and so on, that is neither entirely true nor entirely false. When one of these concepts is not satisfied at all it is called AntiGeometry. One of the problems that this new theory has had is the scarcity of models. Another open problem is the definition of angle and distance measurements within the framework of NeutroGeometry. This paper aims to introduce a general theory of distance measures in any NeutroGeometry. We also present an algorithm …


A Comprehensive Decision Algorithm For The Analysis Of Renewable Energy Source Selection Problem Using Pythagorean Neutrosophic Fuzzy Sets, D. Sasirekha, P. Senthilkumar May 2024

A Comprehensive Decision Algorithm For The Analysis Of Renewable Energy Source Selection Problem Using Pythagorean Neutrosophic Fuzzy Sets, D. Sasirekha, P. Senthilkumar

Neutrosophic Sets and Systems

Nowadays, to achieve sustainable development and avoid devastating impacts on the environment, India is making rapid and broad changes to green energy technology. In order to provide long-term energy security with lower emissions, renewable energy sources are essential. It is well known that renewable energy technologies, or RETs, have the capacity to significantly meet the demand for electricity while lowering pollution levels. The nation has set up an ecologically friendly energy route in recent years. In this paper, we apply multi-criteria decision making (MCDM) models to determine the best renewable energy technology for India. We use the MULTIMOORA model to …


Neutrosophic Statistics For Enhanced Time Series Analysis Of Unemployment Trends In Ecuador, Stephanie M. Delgado Estrada, Katia Del Rocio Ruiz Molina, Fernando Enrique Ponce Orella-Na, Jorge Luis Chabusa Vargas May 2024

Neutrosophic Statistics For Enhanced Time Series Analysis Of Unemployment Trends In Ecuador, Stephanie M. Delgado Estrada, Katia Del Rocio Ruiz Molina, Fernando Enrique Ponce Orella-Na, Jorge Luis Chabusa Vargas

Neutrosophic Sets and Systems

This study harnesses advanced time series models ARIMA, ETS, and SARIMA, coupled with neutrosophic statistics, to forecast unemployment trends through interval-based predictions. Transforming these predictions into neutrosophic forms enables the quantification of indeterminacy, providing a nuanced interpretation of potential economic scenarios. The integration of neutrosophic statistics enhances the interpretative power and accuracy of these models, offering a deeper insight into the inherent uncertainties of economic forecasting. The approach reveals not only the variabilities and potential outcomes within the unemployment rates but also strengthens the decision-making processes by presenting data that encompass both precision and indeterminacy. This paper underscores the importance …


Cubic Spherical Neutrosophic Sets And Selection Of Electric Truck Using Cosine Similarity Measure, S. Krishnaprakash, R. Mariappan, Said Broumi May 2024

Cubic Spherical Neutrosophic Sets And Selection Of Electric Truck Using Cosine Similarity Measure, S. Krishnaprakash, R. Mariappan, Said Broumi

Neutrosophic Sets and Systems

The concepts of cubic spherical neutrosophic sets (CSNSs), introduced and investigated by Gomathi et al. [5], o er a geometric representation of collection of neutrosophic sets (NSs), enhancing their ability to capture uncertainty. The formulation characterizes information using points on a sphere with a de ned center and radius, providing a more precise depiction of fuzziness inherent in uncertain data. The cubic spherical neutrosophic Archimedean triangular norms(ATN) and conorms (ATCN), expanding the models capabilities to handle uncertainty. These algebraic operators enable the aggregation and combination of uncertain informa tion, o ering a more comprehensive approach to decision-making. The research further …


Pythagorean Neutrosophic Triplet Groups, Madad Khan, Muhammad Zeeshan, Saima Anis, Florentin Smrandache May 2024

Pythagorean Neutrosophic Triplet Groups, Madad Khan, Muhammad Zeeshan, Saima Anis, Florentin Smrandache

Neutrosophic Sets and Systems

It is a well-known fact that groups are the only algebraic structures having a single binary operation that is mathematically so perfect that it is impossible to introduce a richer structure within it. The main purpose of this study is to introduce the notion of the Pythagorean neutrosophic triplet (PNT) which is the generalization of neutrosophic triplet (NT). The PNT is an algebraic structure of three ordered pairs that satisfy several properties under the binary operation (B-Operation) " " . Furthermore, we used the PNTs to introduce the novel concept of a Pythagorean neutrosophic triplet group (PNTG). The algebraic structure …


Utility Of Neurodynamic Techniques In Diabetes Mellitus From The Plitogenic Statistical Approach, Lisbeth Josefina Reales Chacón, Josselyn G. Bonilla Ayala, Andrea Carolina Peñafiel Luna, Paul Adrian Arias Cordova, Angela Campos Moposita May 2024

Utility Of Neurodynamic Techniques In Diabetes Mellitus From The Plitogenic Statistical Approach, Lisbeth Josefina Reales Chacón, Josselyn G. Bonilla Ayala, Andrea Carolina Peñafiel Luna, Paul Adrian Arias Cordova, Angela Campos Moposita

Neutrosophic Sets and Systems

Diabetes mellitus type 2 is an illness condition in which the glucose level is abnormal and causes harm to the peripheral nervous fibers originating the diabetic neuropathy. The major frequent damage occurs in the sensory-motor system, whose sym ptoms include alteration in tactile perception, temperature, and loss of sensitivity in hands and feet. The evidence for treatments that include neural mobilization is limited, so this study aims to determine if intervention strategies with neural mobilization improve both sensory and functional responses in the neuropathy diabetic peripheral. We selected plithogenic statistics to carry out the statistical study because this disease is …


Analysis Of Scientific Production On Neutrosophy: A Latin American Perspective, Oscar E. Velázquez-Soto, Eduardo Enrique Chibas Muñoz, Maykel Leyva Vazquez, Lee Yang Díaz Chieng, Jesús Estupiñan Ricardo May 2024

Analysis Of Scientific Production On Neutrosophy: A Latin American Perspective, Oscar E. Velázquez-Soto, Eduardo Enrique Chibas Muñoz, Maykel Leyva Vazquez, Lee Yang Díaz Chieng, Jesús Estupiñan Ricardo

Neutrosophic Sets and Systems

Neutrosophy is a branch of philosophy proposed in 1998 by Romanian philosopher and mathematician F. Smarandache, which studies the origin, nature, and scope of neutrality and its interaction with different spectra of ideas. Because it is a relatively new field, specific scientific production on this subject may be limited, but as it develops, new research and contributions are likely to emerge. This is why it is becoming more necessary to undertake studies to understand the evolution, impact, and scope of research, especially in a context where it had never been examined in depth before: in the Latin American region. This …


Neutrosophic Sets And Systems, Vol. 67,2024, Florentin Smarandache, Mohamed Abdel-Basset, Said Broumi May 2024

Neutrosophic Sets And Systems, Vol. 67,2024, Florentin Smarandache, Mohamed Abdel-Basset, Said Broumi

Neutrosophic Sets and Systems

the book of the whole volume


A Generalization Of Neutrosophic Metric Space And Related Fixed Point Results, Fahim Ud Din, Umar Ishtiaq, Lakhdar Ragoub, Khalil Javed, Muhammad Arshad Apr 2024

A Generalization Of Neutrosophic Metric Space And Related Fixed Point Results, Fahim Ud Din, Umar Ishtiaq, Lakhdar Ragoub, Khalil Javed, Muhammad Arshad

Neutrosophic Sets and Systems

Neutrosophic set is a generalization of classical sets, fuzzy set, intuitionistic sets etc. A mathematical notion neutrosophic set dealing issues containing inconsistent, indeterminate and imprecise data. In this manuscript, we toss the notion of Neutrosophic b-metric-like spaces and obtain some fixed point results in the sense of Neutrosophic b-metric-like spaces. Our results are improvements of recent results in the existing literature. For the validity of these results some non-trivial examples are imparted.


N-Closure And N-Interior In Neutrosophic Topological Spaces, K. Damodharan, M. Vigneshwaran Apr 2024

N-Closure And N-Interior In Neutrosophic Topological Spaces, K. Damodharan, M. Vigneshwaran

Neutrosophic Sets and Systems

Toplology greatly bene ts from the concept of-cloure. Its quiet nature to extended its proper ties in other topological spaces. So, with the concept of quasi-coincidence Ganguly and Saha pioneered and extensively examined the notion of-closure within the domain of fuzzy topological spaces.(FTS). The theory of-closure in intuitionistic fuzzy topological spaces (IFTS) was further extended by Seok Jong Lee and Yeon Seok Eom. In this work, the notion of N-closure in Neutrosophic Topological Spaces (NTS) is put forward and discussed.


Analysis Of Neutrosophic Set, Julia Set In Aircraft Crash, M.N. Bharathi, G. Jayalalitha Apr 2024

Analysis Of Neutrosophic Set, Julia Set In Aircraft Crash, M.N. Bharathi, G. Jayalalitha

Neutrosophic Sets and Systems

A neutrosophic fuzzy set that generalizes the classical set is represented by a closed interval [0,1]. Let us generalize the fuzzy set to the Neutrosophic set, which is defined as three membership functions between interval]-0,1+ [. This paper examines the bird collision problem within a more grounded Neutrosophic framework. The collision between the bird and the aircraft is represented in the Neutrosophic domain as a stationary point because it occurs at a distance too great for any other auditory signal to discern. Numerous methods exist for solving the airplane problem, including a Julia set in complex numbers. Bird collisions resulting …