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Articles 1 - 30 of 51
Full-Text Articles in Entire DC Network
On Some Properties Of Generalised Regular Anti-Topological Space, Bhimraj Basumatary, Gugu Narzary, Jeevan Krishna Khaklary
On Some Properties Of Generalised Regular Anti-Topological Space, Bhimraj Basumatary, Gugu Narzary, Jeevan Krishna Khaklary
Neutrosophic Systems with Applications
This article studies Regular Anti-open sets and Generalised Regular Anti-open sets within a topological framework, addressing the limited development of anti-open structures in generalised topology. We introduce Regular Anti-open sets and establish their fundamental properties. The study is extended by defining Generalised Regular Anti-open sets, providing a broader and more flexible class of sets. Furthermore, the notions of GR-interior and GR-closure are introduced and analyzed, and their essential properties are obtained. The results contribute to a clearer understanding of generalized anti-open structures and provide a basis for further research in topology.
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.
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 …
Comprehensive Risk Evaluation Framework For Reducing Errors In Critical Airport Systems, Arshad Hameed, Muhammad Umer Farooq
Comprehensive Risk Evaluation Framework For Reducing Errors In Critical Airport Systems, Arshad Hameed, Muhammad Umer Farooq
Neutrosophic Systems with Applications
Airports are intricate systems that are subject to a number of operational hazards that might impair safety and cause service interruptions. There is a dearth of thorough approaches designed specifically for airport operations, despite a wealth of research on risk management in several industries. In order to anticipate and prevent breakdowns in vital airport systems, we offer a thorough risk assessment approach that combines quantitative evaluation and human factor analysis. This study uses the decision-making methodology such as MARCOS method to rank the alternatives. The criteria weights are computed in this study. This study uses six criteria and 14 alternatives.
Evaluating Solar Energy Challenges And Strategies To Overcome Challenges Under Neutrosophic Decision Making Methodology, Ahmed A El-Douh, Mina Samir Shenouda
Evaluating Solar Energy Challenges And Strategies To Overcome Challenges Under Neutrosophic Decision Making Methodology, Ahmed A El-Douh, Mina Samir Shenouda
Neutrosophic Systems with Applications
Because of its reliance on fossil fuels and fast population expansion, the nation confronts severe socioeconomic problems that can result in political instability, environmental damage, health issues, and economic instability. A switch to clean energy is now necessary as a result of these problems widening the gap between supply and demand for energy. To close this gap, photovoltaic (PV) technology holds great potential. In order to reduce bias and handle ambiguity while assessing solar energy (SE) issues and regulations, this study offers a decision-making process in a single valued neutrosophic set (SVNS) environment. The neutrosophic set is used to overcome …
Integrated Neutrosophic Set For Assessing The Route Options In Overweight Complex Transportation Planning Scenarios, Muhammad Abid, Tayyaba Akhtar, Harshit Bhatt
Integrated Neutrosophic Set For Assessing The Route Options In Overweight Complex Transportation Planning Scenarios, Muhammad Abid, Tayyaba Akhtar, Harshit Bhatt
Neutrosophic Systems with Applications
Due to improvements in lifting and transportation technology that enable the long-distance movement of heavy loads, overweight and oversized transport (O&OT) has emerged as one of the most important aspects of project logistics. This kind of transportation operation, also known as abnormal transportation, is heavily influenced by external variables like weather, traffic density, and legal regulations, as well as technical factors like the load’s weight and geometry, road surface, axle load limitations, slope, and ground strength. Decision-Makers (DMs) and practitioners who plan and carry out operations without giving these variables and factors enough thought may cause operational delays, significant hazards, …
Neutrosophic Set Model For Effective Earthquake Disaster Risk Management: Results And Discussion, Emadaldeen Hassan Alomar, Abdullah Ali Salamai
Neutrosophic Set Model For Effective Earthquake Disaster Risk Management: Results And Discussion, Emadaldeen Hassan Alomar, Abdullah Ali Salamai
Neutrosophic Systems with Applications
Secondary effects including landslides, tsunamis, and fires can cause significant damage and fatalities following an earthquake. Effective disaster risk management has been predicted to be built on regional fire-following earthquake (FFE) risk. Specifically, a target region’s building and geographical factors might impact the fire danger and spread. The percentage of fire-resistant building types as building characteristics and the distribution of building densities as regional characteristics were the primary factors used in this study to determine FFE risk. This study develops a decision-making methodology for risk management in the FFE. We use the single valued neutrosophic set (SVNS) to overcome uncertainty. …
Neutrosophic Decision Making Methodology For Sustainable Diabetic Diet: Balancing Health And Environment, Rayan Hussein
Neutrosophic Decision Making Methodology For Sustainable Diabetic Diet: Balancing Health And Environment, Rayan Hussein
Neutrosophic Systems with Applications
Sustainable diabetic diet for balancing health and environment is a decision-making problem and contain uncertainty affect negatively in different decisions. So, this paper proposes a decision-making methodology with the neutrosophic set to solve uncertainty in this decision-making problem. We use the MOOSRA method to rank the alternatives. The criteria weights are computed using the average method. Case study with nine criteria and 16 alternatives are proposed for sustainable diabetic diet. The sensitivity analysis is conducted in this case study to show the stability of the ranks. Nine cases are proposed in this study. The results show the ranks of alternatives …
Neutrosophic Set Model For Controlling Electronic Waste Requirements Management Policies To Minimize Ecological Impact And Improving Resilience And Sustainability, Mohamed Abouhawwash, Nitin Mittal, Sudeep Tanwar
Neutrosophic Set Model For Controlling Electronic Waste Requirements Management Policies To Minimize Ecological Impact And Improving Resilience And Sustainability, Mohamed Abouhawwash, Nitin Mittal, Sudeep Tanwar
Neutrosophic Systems with Applications
The growing issue of electronic waste (e-waste) necessitates management approaches that promote sustainability and resilience while reducing environmental effects, particularly considering global disruptions and pressure on manufacturers to implement extended producer responsibility laws. There is a research gap in our knowledge of the link between sustainability and resilience since most of the literature currently available on e-waste management focuses on either operational efficiency or sustainability. This study proposes multi-criteria decision making (MCDM) methodology for controlling electronic waste requirements management policies to minimize ecological impact and improving resilience and sustainability. We use the EDAS methodology to rank the alternatives. The criteria …
Framework For Assessing Sustainability In Industry 4.0: Supply Chain Optimization, Manufacturing Processes, And Energy Consumption Reduction, Mohamed Abouhawwash, Nebojsa Bacanin
Framework For Assessing Sustainability In Industry 4.0: Supply Chain Optimization, Manufacturing Processes, And Energy Consumption Reduction, Mohamed Abouhawwash, Nebojsa Bacanin
Sustainable Machine Intelligence Journal
Decision making has uncertainty problems in evaluation process, so to overcome uncertainty existing fuzzy decision-making approaches, the neutrosophic set is used to solve incomplete data. Interval valued neutrosophic numbers (IVNNs) are used in this study to solve uncertainty problems. The IVNNs are used with the multi-criteria decision making (MCDM) methods. MCDM method is used to deal with different criteria and alternatives. This study proposes an MCDM methodology for assessment sustainability in industry 4.0. Twenty cases and ten alternatives are used in this study. The criteria weights are computed using the average method. The alternatives are ranked using the ARAS method. …
A Proposed Mathematical Framework For Fuzzy It Service Management (F-Itsm) And Neutrosophic It Service Management (N-Itsm), Takaaki Fujita
A Proposed Mathematical Framework For Fuzzy It Service Management (F-Itsm) And Neutrosophic It Service Management (N-Itsm), Takaaki Fujita
Neutrosophic Systems with Applications
Fuzzy sets, rough sets, hyperrough sets, intuitionistic fuzzy sets, neutrosophic sets, plithogenic sets , and other frameworks for handling uncertainty are under active research every day. These concepts can model a wide range of real-world phenomena and are frequently investigated to facilitate more efficient decision-making. IT Service Management is a systematic approach to designing, delivering, managing, and improving IT services in alignment with organizational objectives. In this paper, we explore the Mathematical Frameworks for Fuzzy IT Service Management (F-ITSM) and Neutrosophic IT Service Management (N-ITSM), which combine these uncertainty-based ideas with IT Service Management practices.
Triple-Valued Neutrosophic Set, Quadruple-Valued Neutrosophic Set, Quintuple-Valued Neutrosophic Set, And Double-Valued Indetermsoft Set, Takaaki Fujita
Triple-Valued Neutrosophic Set, Quadruple-Valued Neutrosophic Set, Quintuple-Valued Neutrosophic Set, And Double-Valued Indetermsoft Set, Takaaki Fujita
Neutrosophic Systems with Applications
Concepts such as Fuzzy Sets, Neutrosophic Sets, Rough Sets, and Plithogenic Sets have been extensively studied to address uncertainty, finding diverse applications across various fields. A Double-Valued Neutrosophic Set (DVNS) extends traditional neutrosophic sets by introducing two distinct indeterminacy components: one leaning towards truth and the other towards falsity. In this paper, we explore Triple-Valued Neutrosophic Sets, Quadruple-Valued Neutrosophic Sets, and Quintuple-Valued Neutrosophic Sets, as well as an extension of the Indetermsoft Set, termed the Double-Valued Indetermsoft Set. Note that related concepts such as the Multi-Valued Neutrosophic Set and the n-Valued Refined Neutrosophic Set have already been established.
Nash Equilibrium Solutions For Continuous Static Games Under Neutrosophic Environment, M. G. Brikaa
Nash Equilibrium Solutions For Continuous Static Games Under Neutrosophic Environment, M. G. Brikaa
Neutrosophic Systems with Applications
Neutrosophic set theory plays an important role in dealing with the impreciseness and inconsistency in data encountered in solving real life problems. This paper presents a novel approach to solving a new class of continuous static games within a neutrosophic framework. In the proposed methodology, the neutrosophic continuous static games are redefined into two separate crisp problems: the lower problem and the upper problem. The study further establishes the necessary conditions for determining equilibrium strategies in neutrosophic continuous static games. To demonstrate its effectiveness and practical applicability, the proposed method is validated through a numerical example.
A Reconsideration Of Advanced Concepts In Neutrosophic Graphs: Smart, Zero Divisor, Layered, Weak, Semi, And Chemical Graphs, Takaaki Fujita, Florentin Smarandache
A Reconsideration Of Advanced Concepts In Neutrosophic Graphs: Smart, Zero Divisor, Layered, Weak, Semi, And Chemical Graphs, Takaaki Fujita, Florentin Smarandache
Neutrosophic Systems with Applications
One of the most powerful tools in graph theory is the classification of graphs into distinct classes based on shared properties or structural features. Over time, many graph classes have been introduced, each aimed at capturing specific behaviors or characteristics of a graph. Neutrosophic Set Theory, a method for handling uncertainty, extends fuzzy logic by incorporating degrees of truth, indeterminacy, and falsity. Building on this framework, Neutrosophic Graphs [9, 84, 135] have emerged as significant generalizations of fuzzy graphs. In this paper, we extend several classes of fuzzy graphs to Neutrosophic graphs and analyze their properties.
Exploring Concepts Of Hyperfuzzy, Hyperneutrosophic, And Hyperplithogenic Sets (I), Florentin Smarandache, Takaaki Fujita
Exploring Concepts Of Hyperfuzzy, Hyperneutrosophic, And Hyperplithogenic Sets (I), Florentin Smarandache, Takaaki Fujita
Branch Mathematics and Statistics Faculty and Staff Publications
This work investigates the evolution of traditional set theory to address complex and ambiguous real-world phenomena. It introduces hierarchical hyperstructures and superhyperstructures, where superhyperstructures are formed by iteratively applying power sets to create nested abstractions. The focus is placed on three foundational set-based frameworks—Fuzzy Sets, Neutrosophic Sets, and Plithogenic Sets and their extensions into Hyperfuzzy Sets, HyperNeutrosophic Sets, and Hyperplithogenic Sets. These extensions are applied to various domains, including Statistics, TOPSIS, K-means Clustering, Evolutionary Theory, Topological Spaces, Decision Making, Probability, and Language Theory. By exploring these generalized forms, this paper seeks to guide and inspire further research and development in …
Exploring Concepts Of Hyperfuzzy, Hyperneutrosophic, And Hyperplithogenic Sets (Ii), Takaaki Fujita, Florentin Smarandache
Exploring Concepts Of Hyperfuzzy, Hyperneutrosophic, And Hyperplithogenic Sets (Ii), Takaaki Fujita, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This paper delves into the advancements of classical set theory to address the complexities and uncertainties inherent in real-world phenomena. It highlights three major extensions of traditional set theory - Fuzzy Sets [288], Neutrosophic Sets [237], and Plithogenic Sets [243] - and examines their further generalizations into Hyperfuzzy [106], HyperNeutrosophic [90], and Hyperplithogenic Sets [90]. Building on previous research [83], this study explores the potential applications of HyperNeutrosophic Sets and SuperHyperNeutrosophic Sets across various domains. Specifically, it extends f undamental c oncepts such as Neutrosophic Logic, Cognitive Maps, Graph Neural Networks, Classifiers, and Triplet Groups through these advanced set structures …
Quantified Neutrosophic Set (Qtns)-Based Mcdm Algorithms For Sustainable Material Selection For Anti-Microbial Bio-Fabricated Textile Manufacturing, Muhammad Saeed, Neha Andaleeb Khalid, Florentin Smarandache
Quantified Neutrosophic Set (Qtns)-Based Mcdm Algorithms For Sustainable Material Selection For Anti-Microbial Bio-Fabricated Textile Manufacturing, Muhammad Saeed, Neha Andaleeb Khalid, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This paper proposes a modified structure for the neutrosophic set called the Quantified Neutrosophic Set (QtNS) with a parameterized setting. Unlike conventional approaches, the QtNS provides a quantified environment for the indeterminacy by its dependence on truthness and falsity components. This innovative approach quantifies the uncertainty and improves the assessment process via expert-guided opinions, customising it according to the specific situations in real-world decision-making scenarios. Some QtNS operations along with useful characteristics are addressed. Furthermore, two algorithms, QtNSUI and QtNSAO, are developed for the proposed operations of union, intersection, AND, and OR based on QtNS. In the world of sustainable …
Uncertain Automata And Uncertain Graph Grammar, Takaaki Fujita, Florentin Smarandache
Uncertain Automata And Uncertain Graph Grammar, Takaaki Fujita, Florentin Smarandache
Neutrosophic Sets and Systems
Graph theory has been widely studied, resulting in numerous applications across various felds. Among its many topics, Automata and Graph Grammar have emerged as signifcant areas ofresearch. This paper delves into these concepts, emphasizing their adaptation o uncertainframeworks likeFuzzy, Neutro- sophic, Vague, Turiyam Neutrosophic, and Plithogenic systems. By integrating uncertaintyinto traditional graph theoretical models, the paper aims to address ongoing researchchallengesand expand thescope of thesemodels.
Neutrosophical Plant Hybridization In Decision-Making Problems, M. Arockia Dasan, E. Bementa, Florentin Smarandache, X. Tubax
Neutrosophical Plant Hybridization In Decision-Making Problems, M. Arockia Dasan, E. Bementa, Florentin Smarandache, X. Tubax
Branch Mathematics and Statistics Faculty and Staff Publications
Florentin Smarandache developed the neutrosophic set theory to study inconsistency, incomplete, and uncertainty information by using truth-membership, indeterminacy-membership, and falsity-membership functions. One of the main objectives of this chapter is to develop a new methodological approach of neutrosophic sets in multi-criteria decision-making problems. This method considers neutrosophic sets with their unions in the direct direction and the complements of given neutrosophic sets with their intersections are also considered in the reverse direction. Using these collections, single-valued neutrosophic score functions are computed in both directions. After this process, all the alternatives are ranked in the ascending order arrangement to find the …
Properties Of Redefined Neutrosophic Composite Relation, Sudeep Dey, Gautam Chandra Ray
Properties Of Redefined Neutrosophic Composite Relation, Sudeep Dey, Gautam Chandra Ray
Neutrosophic Systems with Applications
The notion of single-valued neutrosophic composite relation was redefined by S.Dey and G.C.Ray in the year 2022. In this article, we investigate some basic properties of the redefined neutrosophic composite relation.
An Electric Vehicle Analysis Model For Sustainable Environment In Devoicing Nationals, Nada A. Nabeeh, Karam M. Sallam, Ali Wagdy Mohamed
An Electric Vehicle Analysis Model For Sustainable Environment In Devoicing Nationals, Nada A. Nabeeh, Karam M. Sallam, Ali Wagdy Mohamed
Neutrosophic Systems with Applications
The usage of fossil fuels is regarded as the generation of energy alternative towards electric vehicles (EVs) in third-world nations for a cleaner transportation sector. The rapid development of EVs is the most effective solution, even if the short-term ecological benefits for third-world nations cannot cover the short-term expenses. Since ecological issues have opened the door for certain developing nations to catch up to the worldwide competition, it is important to weigh other options to bring EVs to the marketplace. Hence, the study proposes a model of neutrosophic set combined with entropy to deal with uncertain cases. The proposed model …
An Electric Vehicle Analysis Model For Sustainable Environment In Devoicing Nationals, Nada A. Nabeeh, Karam M. Sallam, Ali Wagdy Mohamed
An Electric Vehicle Analysis Model For Sustainable Environment In Devoicing Nationals, Nada A. Nabeeh, Karam M. Sallam, Ali Wagdy Mohamed
Neutrosophic Systems with Applications
The usage of fossil fuels is regarded as the generation of energy alternative towards electric vehicles (EVs) in third-world nations for a cleaner transportation sector. The rapid development of EVs is the most effective solution, even if the short-term ecological benefits for third-world nations cannot cover the short-term expenses. Since ecological issues have opened the door for certain developing nations to catch up to the worldwide competition, it is important to weigh other options to bring EVs to the marketplace. Hence, the study proposes a model of neutrosophic set combined with entropy to deal with uncertain cases. The proposed model …
Collected Papers (On Neutrosophic Theory And Its Applications In Algebra), Volume Ix, Florentin Smarandache
Collected Papers (On Neutrosophic Theory And Its Applications In Algebra), Volume Ix, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with 81 co-authors from 19 countries.
Introduction To The Special Issue On Advances In Neutrosophic And Plithogenic Sets For Engineering And Sciences: Theory, Models, And Applications, S. A. Edalatpanah, Florentin Smarandache
Introduction To The Special Issue On Advances In Neutrosophic And Plithogenic Sets For Engineering And Sciences: Theory, Models, And Applications, S. A. Edalatpanah, Florentin Smarandache
Branch Mathematics and Statistics Faculty and Staff Publications
Recently, research on uncertainty modeling has been progressing rapidly, and many essential and breakthrough studies have already been done. There are various ways to handle these uncertainties, such as fuzzy and intuitionistic fuzzy sets. Although these concepts can take incomplete information in various real-world issues, they cannot address all types of uncertainty, such as indeterminate and inconsistent information. The neutrosophic theory founded by Florentin Smarandache in 1998 constitutes a further generalization of fuzzy set, intuitionistic fuzzy set, picture fuzzy set, Pythagorean fuzzy set, spherical fuzzy set, etc. Since then, this logic has been applied in various science and engineering domains. …
A Fuzzy Approach For Solving A Three-Level Linear Programming Problem With Neutrosophic Parameters In The Objective Functions And Constraints, O. E. Emam, Manal A. Abdel-Fattah, Safaa.M. Azzam
A Fuzzy Approach For Solving A Three-Level Linear Programming Problem With Neutrosophic Parameters In The Objective Functions And Constraints, O. E. Emam, Manal A. Abdel-Fattah, Safaa.M. Azzam
Journal of Statistics Applications & Probability
The most widely used actions taken and decisions made in real-world tasks frequently appear as hierarchical systems. The multi-level programming problem is the technique that most often used to address these systems; however, in practical situations, some decisions and performance are imprecise. Neutrosophic sets provide a vital role by considering three independent degrees, specifically, the truth membership degree, the indeterminacy-membership degree, and the falsity membership degree, of every aspect of uncertain decisions. This study focuses on solving neutrosophic multi-level linear programming problems with neutrosophic parameters in the objective functions and constraints. The neutrosophic form of the problem transformed into an …
A Fuzzy Approach For Solving A Three-Level Linear Programming Problem With Neutrosophic Parameters In The Objective Functions And Constraints, O. E. Emam, Manal A. Abdel-Fattah, Safaa.M. Azzam
A Fuzzy Approach For Solving A Three-Level Linear Programming Problem With Neutrosophic Parameters In The Objective Functions And Constraints, O. E. Emam, Manal A. Abdel-Fattah, Safaa.M. Azzam
Journal of Statistics Applications & Probability
The most widely used actions taken and decisions made in real-world tasks frequently appear as hierarchical systems. The multi-level programming problem is the technique that most often used to address these systems; however, in practical situations, some decisions and performance are imprecise. Neutrosophic sets provide a vital role by considering three independent degrees, specifically, the truth membership degree, the indeterminacy-membership degree, and the falsity membership degree, of every aspect of uncertain decisions. This study focuses on solving neutrosophic multi-level linear programming problems with neutrosophic parameters in the objective functions and constraints. The neutrosophic form of the problem transformed into an …
New Method To Optimize The Fully Neutrosophic Linear Programming Problems, A. M. Elhadidi, O. E. Emam, A. M. Abdelfadel
New Method To Optimize The Fully Neutrosophic Linear Programming Problems, A. M. Elhadidi, O. E. Emam, A. M. Abdelfadel
Applied Mathematics & Information Sciences
The present paper investigates the neutrosophic linear programming (LP) models in line with their advantages, where their parameters are represented with a trapezoidal neutrosophic number, and a method to solve them has been introduced. With some mathematical examples, the introduced method has been represented and demonstrated its predominance with the state of the art by comparison. Finally, we conclude that the proposed approach is easier, more effective, and suitable for solving the neutrosophic LP models compared to other approaches.
A Decomposition Algorithm For Solving Multi-Level Large-Scale Linear Programming Problems With Neutrosophic Parameters In The Constrains, O. E. Emam, Manal A. Abdel-Fattah, Safaa.M. Azzam
A Decomposition Algorithm For Solving Multi-Level Large-Scale Linear Programming Problems With Neutrosophic Parameters In The Constrains, O. E. Emam, Manal A. Abdel-Fattah, Safaa.M. Azzam
Applied Mathematics & Information Sciences
Multi-level programming (MLP) is an important branch of operation research. The majority of optimization problems- humans currently face- have very large numbers of variables and constraints and are called large-scale programming problems. However, practical situations entail some imprecision regarding some decisions and performances. Neutrosophic sets play a vital role by considering three independent degrees, namely, the truth membership degree, indeterminacy membership degree, and falsity membership degree, of any aspect of an uncertain decision. The present study focuses on solving multi-level large-scale linear programming problems with neutrosophic parameters in the constrains by considering the problem coefficients to be trapezoidal neutrosophic numbers. …
Plithogenic Cubic Sets, Florentin Smarandache, S.P. Priyadharshini, F. Nirmala Irudayam
Plithogenic Cubic Sets, Florentin Smarandache, S.P. Priyadharshini, F. Nirmala Irudayam
Branch Mathematics and Statistics Faculty and Staff Publications
In this article, using the concepts of cubic set and plithogenic set, the ideas of plithogenic fuzzy cubic set, plithogenic intuitionistic fuzzy cubic set, plithogenic neutrosophic cubic set are introduced and its corresponding internal and external cubic sets are discussed with examples.
Isomorphism Theorem For Neutrosophic Submodules, R. Binu, P. Isaac
Isomorphism Theorem For Neutrosophic Submodules, R. Binu, P. Isaac
Applied Mathematics & Information Sciences
In this paper, we investigate some new features of neutrosophic submodules and their properties. The neutrosophic quotient module and restriction of a neutrosophic submodule to a submodule of R-module are defined. The three fundamental theorems of module isomorphism are extended to isomorphism of neutrosophic submodules.