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Articles 211 - 240 of 375
Full-Text Articles in Computer Sciences
Ct Image Segmentation Using Optimization Techniques Under Neutrosophic Domain, Doaa El-Shahat, Nourhan Talal, Jun Ye, Wen-Hua Cui
Ct Image Segmentation Using Optimization Techniques Under Neutrosophic Domain, Doaa El-Shahat, Nourhan Talal, Jun Ye, Wen-Hua Cui
Neutrosophic Systems with Applications
In this paper, we introduce a hybrid technique between optimization algorithms and neutrosophic theory. This new hybridization can deal with uncertainties in brain computed tomography (CT) images in three different memberships very effectively. To prove the real-time application of this theory, a new segmentation method for brain CT medical images is presented. The grayscale medical image suffers from uncertainties and inconsistencies in the gray levels due to their bad luminance. The proposed technique addressed this problem by performing neutrosophic operations on gray levels based on the S membership function.
Q-Rung Neutrosophic Sets And Topological Spaces, Michael Gr. Voskoglou, Florentin Smarandache, Mona Mohamed
Q-Rung Neutrosophic Sets And Topological Spaces, Michael Gr. Voskoglou, Florentin Smarandache, Mona Mohamed
Neutrosophic Systems with Applications
The concept of the q-rung orthopair neutrosophic set is introduced in this paper, and fundamental properties of it are studied. Also, the ordinary notion of topological space is extended to the q-rung orthopair neutrosophic environment, as well as the fundamental concepts of convergence, continuity, compactness, and Hausdorff topological space. All these generalizations are illustrated by suitable examples.
Q-Rung Neutrosophic Sets And Topological Spaces, Michael Gr. Voskoglou, Florentin Smarandache, Mona Mohamed
Q-Rung Neutrosophic Sets And Topological Spaces, Michael Gr. Voskoglou, Florentin Smarandache, Mona Mohamed
Neutrosophic Systems with Applications
The concept of the q-rung orthopair neutrosophic set is introduced in this paper, and fundamental properties of it are studied. Also, the ordinary notion of topological space is extended to the q-rung orthopair neutrosophic environment, as well as the fundamental concepts of convergence, continuity, compactness, and Hausdorff topological space. All these generalizations are illustrated by suitable examples.
Neutrosophic Insights Into Military Interventions: Assessing Legitimacy And Consequences In International Law, Salame Ortiz Mónica Alexandra, Jiménez Martínez Roberto Carlos, Piñas Piñas Luis Fernando
Neutrosophic Insights Into Military Interventions: Assessing Legitimacy And Consequences In International Law, Salame Ortiz Mónica Alexandra, Jiménez Martínez Roberto Carlos, Piñas Piñas Luis Fernando
Neutrosophic Systems with Applications
This scientific paper analyzes the legitimacy of military interventions within the framework of international law and their potential consequences. It highlights the need to support these interventions with robust legal and moral reasoning due to their complexity and controversy in the international community. The interpretation of legal and ethical principles can be subjective and lead to disagreements among states and international actors. The consequences of military interventions are explored, ranging from loss of life and infrastructure destruction to population displacement, political instability, and humanitarian crises. Legality and proportionality in interventions are essential to ensuring their legitimacy, and the potential consequences …
Neutrosophic Insights Into Military Interventions: Assessing Legitimacy And Consequences In International Law, Salame Ortiz Mónica Alexandra, Jiménez Martínez Roberto Carlos, Piñas Piñas Luis Fernando
Neutrosophic Insights Into Military Interventions: Assessing Legitimacy And Consequences In International Law, Salame Ortiz Mónica Alexandra, Jiménez Martínez Roberto Carlos, Piñas Piñas Luis Fernando
Neutrosophic Systems with Applications
This scientific paper analyzes the legitimacy of military interventions within the framework of international law and their potential consequences. It highlights the need to support these interventions with robust legal and moral reasoning due to their complexity and controversy in the international community. The interpretation of legal and ethical principles can be subjective and lead to disagreements among states and international actors. The consequences of military interventions are explored, ranging from loss of life and infrastructure destruction to population displacement, political instability, and humanitarian crises. Legality and proportionality in interventions are essential to ensuring their legitimacy, and the potential consequences …
A Multi-Criteria Decision Making Model For Sustainable And Resilient Supplier Selection And Management, Samah Ibrahim Abdel Aal
A Multi-Criteria Decision Making Model For Sustainable And Resilient Supplier Selection And Management, Samah Ibrahim Abdel Aal
Neutrosophic Systems with Applications
Sustainable and resilient supplier selection and management are essential to building environmentally responsible and resilient supply chains. Selecting sustainable and resilient suppliers enables organizations to ensure the long-term viability of the supply chain. To do that, there is a need to identify suitable suppliers that align with sustainability and resilience goals. This study aims to provide an overview of the requirements and criteria for selecting and managing sustainable and resilient suppliers and emphasizes the significance of integrating sustainability and resilience principles throughout the supply chain. Multi-criteria decision-making (MCDM) is used to deal with various criteria. The double normalization-based multi-aggregation (DNMA) …
Foundation Of Appurtenance And Inclusion Equations For Constructing The Operations Of Neutrosophic Numbers Needed In Neutrosophic Statistics, Florentin Smarandache
Foundation Of Appurtenance And Inclusion Equations For Constructing The Operations Of Neutrosophic Numbers Needed In Neutrosophic Statistics, Florentin Smarandache
Neutrosophic Systems with Applications
We introduce for the first time the appurtenance equation and inclusion equation, which help in understanding the operations with neutrosophic numbers within the frame of neutrosophic statistics. The way of solving them resembles the equations whose coefficients are sets (not single numbers).
A Multi-Criteria Decision Making Model For Sustainable And Resilient Supplier Selection And Management, Samah Ibrahim Abdel Aal
A Multi-Criteria Decision Making Model For Sustainable And Resilient Supplier Selection And Management, Samah Ibrahim Abdel Aal
Neutrosophic Systems with Applications
Sustainable and resilient supplier selection and management are essential to building environmentally responsible and resilient supply chains. Selecting sustainable and resilient suppliers enables organizations to ensure the long-term viability of the supply chain. To do that, there is a need to identify suitable suppliers that align with sustainability and resilience goals. This study aims to provide an overview of the requirements and criteria for selecting and managing sustainable and resilient suppliers and emphasizes the significance of integrating sustainability and resilience principles throughout the supply chain. Multi-criteria decision-making (MCDM) is used to deal with various criteria. The double normalization-based multi-aggregation (DNMA) …
Foundation Of Appurtenance And Inclusion Equations For Constructing The Operations Of Neutrosophic Numbers Needed In Neutrosophic Statistics, Florentin Smarandache
Foundation Of Appurtenance And Inclusion Equations For Constructing The Operations Of Neutrosophic Numbers Needed In Neutrosophic Statistics, Florentin Smarandache
Neutrosophic Systems with Applications
We introduce for the first time the appurtenance equation and inclusion equation, which help in understanding the operations with neutrosophic numbers within the frame of neutrosophic statistics. The way of solving them resembles the equations whose coefficients are sets (not single numbers).
Unveiling Efficiency: Investigating Distance Measures In Wastewater Treatment Using Interval-Valued Neutrosophic Fuzzy Soft Set, Muhammad Saeed, Kinza Kareem, Fatima Razzaq, Muhammad Saqlain
Unveiling Efficiency: Investigating Distance Measures In Wastewater Treatment Using Interval-Valued Neutrosophic Fuzzy Soft Set, Muhammad Saeed, Kinza Kareem, Fatima Razzaq, Muhammad Saqlain
Neutrosophic Systems with Applications
To reduce the threats that wastewater poses to human health and the environment, water treatment techniques must be improved. The use of a procedure that includes preparation, testing, primary and secondary treatments, filtration, disinfection, and continuous monitoring is therefore required. The objective of this research is to create a hybrid notion that extends the idea of an interval-valued neutrosophic fuzzy soft set (IVNFSS) to an interval-valued neutrosophic fuzzy set. Operations like complement, union, and integration are included in the idea. To improve decision-making accuracy, a quality-assessment distance measure is incorporated, offering a numerical representation of the disparity between various factors. …
Unveiling Efficiency: Investigating Distance Measures In Wastewater Treatment Using Interval-Valued Neutrosophic Fuzzy Soft Set, Muhammad Saeed, Kinza Kareem, Fatima Razzaq, Muhammad Saqlain
Unveiling Efficiency: Investigating Distance Measures In Wastewater Treatment Using Interval-Valued Neutrosophic Fuzzy Soft Set, Muhammad Saeed, Kinza Kareem, Fatima Razzaq, Muhammad Saqlain
Neutrosophic Systems with Applications
To reduce the threats that wastewater poses to human health and the environment, water treatment techniques must be improved. The use of a procedure that includes preparation, testing, primary and secondary treatments, filtration, disinfection, and continuous monitoring is therefore required. The objective of this research is to create a hybrid notion that extends the idea of an interval-valued neutrosophic fuzzy soft set (IVNFSS) to an interval-valued neutrosophic fuzzy set. Operations like complement, union, and integration are included in the idea. To improve decision-making accuracy, a quality-assessment distance measure is incorporated, offering a numerical representation of the disparity between various factors. …
Neutrosophic Statistical Analysis Of Temperatures Of Cities In The Southeastern Anatolia Region Of Turkey, Hacer Şengül Kandemir, Nazlım Deniz Aral, Murat Karakaş, Mikail Et
Neutrosophic Statistical Analysis Of Temperatures Of Cities In The Southeastern Anatolia Region Of Turkey, Hacer Şengül Kandemir, Nazlım Deniz Aral, Murat Karakaş, Mikail Et
Neutrosophic Systems with Applications
In the paper, neutrosophic statistical analysis of temperature data of different cities in the southeastern Anatolia region of Turkey is given. The neutrosophic mean and neutrosophic coefficient of variation are computed using the temperature data. From the analysis, it is concluded that the temperatures of Mardin and Şanlıurfa cities are more consistent than the other cities in Turkey. In addition, the neutrosophic results are compared with results under classical statistics. Based on the comparative study, it can be concluded that neutrosophic statistical results are more adequate, flexible, and more informative than classical statistics.
Neutrosophic Statistical Analysis Of Temperatures Of Cities In The Southeastern Anatolia Region Of Turkey, Hacer Şengül Kandemir, Nazlım Deniz Aral, Murat Karakaş, Mikail Et
Neutrosophic Statistical Analysis Of Temperatures Of Cities In The Southeastern Anatolia Region Of Turkey, Hacer Şengül Kandemir, Nazlım Deniz Aral, Murat Karakaş, Mikail Et
Neutrosophic Systems with Applications
In the paper, neutrosophic statistical analysis of temperature data of different cities in the southeastern Anatolia region of Turkey is given. The neutrosophic mean and neutrosophic coefficient of variation are computed using the temperature data. From the analysis, it is concluded that the temperatures of Mardin and Şanlıurfa cities are more consistent than the other cities in Turkey. In addition, the neutrosophic results are compared with results under classical statistics. Based on the comparative study, it can be concluded that neutrosophic statistical results are more adequate, flexible, and more informative than classical statistics.
Extended Event Calculus Using Neutrosophic Logic: Method, Implementation, Analysis, Recent Progress And Future Directions, Antonios Paraskevas
Extended Event Calculus Using Neutrosophic Logic: Method, Implementation, Analysis, Recent Progress And Future Directions, Antonios Paraskevas
Neutrosophic Systems with Applications
Brains do not reason as digital computers do. Computers reason in clear steps with statements that are either true or false, while humans reason with vague terms of common sense. Neutrosophy is a new branch of philosophy and machine intelligence that deals with neutralities, specifically the idea of indeterminacy that is evident and experienced in our everyday lives. Indeterminacy is interpreted as everything that falls between a concept, idea, statement, declaration, etc. and its opposite. The fundamental thesis of neutrosophy is to employ neutrosophic logic, an extension of fuzzy logic, to incorporate fuzzy truth into complex schemes of formal reasoning. …
Extended Event Calculus Using Neutrosophic Logic: Method, Implementation, Analysis, Recent Progress And Future Directions, Antonios Paraskevas
Extended Event Calculus Using Neutrosophic Logic: Method, Implementation, Analysis, Recent Progress And Future Directions, Antonios Paraskevas
Neutrosophic Systems with Applications
Brains do not reason as digital computers do. Computers reason in clear steps with statements that are either true or false, while humans reason with vague terms of common sense. Neutrosophy is a new branch of philosophy and machine intelligence that deals with neutralities, specifically the idea of indeterminacy that is evident and experienced in our everyday lives. Indeterminacy is interpreted as everything that falls between a concept, idea, statement, declaration, etc. and its opposite. The fundamental thesis of neutrosophy is to employ neutrosophic logic, an extension of fuzzy logic, to incorporate fuzzy truth into complex schemes of formal reasoning. …
Finding A Basic Feasible Solution For Neutrosophic Linear Programming Models: Case Studies, Analysis, And Improvements, Maissam Jdid, Florentin Smarandache
Finding A Basic Feasible Solution For Neutrosophic Linear Programming Models: Case Studies, Analysis, And Improvements, Maissam Jdid, Florentin Smarandache
Neutrosophic Systems with Applications
Since the inception of operations research, linear programming has received the attention of researchers in this field due to the many areas of its use. The focus was on the methods used to find the optimal solution for linear models. The direct simplex method, with its three basic stages, begins by writing the linear model in standard form and then finding a basic solution that is improved according to the simplex steps until We get the optimal solution, but we encounter many linear models that do not give us a basic solution after we put it in a standard form, …
Fuzzy Inference Full Implication Method Based On Single Valued Neutrosophic T-Representable T-Norm: Purposes, Strategies, And A Proof-Of-Principle Study, Minxia Luo, Ziyang Sun, Donghui Xu, Lixian Wu
Fuzzy Inference Full Implication Method Based On Single Valued Neutrosophic T-Representable T-Norm: Purposes, Strategies, And A Proof-Of-Principle Study, Minxia Luo, Ziyang Sun, Donghui Xu, Lixian Wu
Neutrosophic Systems with Applications
As a generalization of intuitionistic fuzzy sets, single-valued neutrosophic sets have certain advantages in solving indeterminate and inconsistent information. In this paper, we study the fuzzy inference full implication method based on single-valued neutrosophic t-representable t-norm. Firstly, single-valued neutrosophic fuzzy inference triple I principles for fuzzy modus ponens and fuzzy modus tollens are given. Then, single-valued neutrosophic R-type triple I solutions for FMP and FMT are given. Finally, the robustness of the full implication triple I method based on the left-continuous single-valued neutrosophic t-representable t-norm is investigated. As a special case of the main results, the sensitivity of full implication …
Pairing New Approach Of Tree Soft With Mcdm Techniques: Toward Advisory An Outstanding Web Service Provider Based On Qos Levels, Sara Fawaz Al-Baker, Ibrahim El-Henawy, Mona Mohamed
Pairing New Approach Of Tree Soft With Mcdm Techniques: Toward Advisory An Outstanding Web Service Provider Based On Qos Levels, Sara Fawaz Al-Baker, Ibrahim El-Henawy, Mona Mohamed
Neutrosophic Systems with Applications
Web services (WSs) have become dynamic because of technological advancements and internet usage. Hence, selecting a WS provider among a variety of WS providers that perform the same function is a critical process. However, the crucial point is that various consumers may have varied needs when it comes to the quality attributes of services, such as cost, response time, throughput, security, availability, etc. These aspects of Web services are known as quality of service (QoS), or non-functional characteristics. Hence, this issue is the robust motivator for conducting this study. The objective of this study is to evaluate a set of …
Finding A Basic Feasible Solution For Neutrosophic Linear Programming Models: Case Studies, Analysis, And Improvements, Maissam Jdid, Florentin Smarandache
Finding A Basic Feasible Solution For Neutrosophic Linear Programming Models: Case Studies, Analysis, And Improvements, Maissam Jdid, Florentin Smarandache
Neutrosophic Systems with Applications
Since the inception of operations research, linear programming has received the attention of researchers in this field due to the many areas of its use. The focus was on the methods used to find the optimal solution for linear models. The direct simplex method, with its three basic stages, begins by writing the linear model in standard form and then finding a basic solution that is improved according to the simplex steps until We get the optimal solution, but we encounter many linear models that do not give us a basic solution after we put it in a standard form, …
Fuzzy Inference Full Implication Method Based On Single Valued Neutrosophic T-Representable T-Norm: Purposes, Strategies, And A Proof-Of-Principle Study, Minxia Luo, Ziyang Sun, Donghui Xu, Lixian Wu
Fuzzy Inference Full Implication Method Based On Single Valued Neutrosophic T-Representable T-Norm: Purposes, Strategies, And A Proof-Of-Principle Study, Minxia Luo, Ziyang Sun, Donghui Xu, Lixian Wu
Neutrosophic Systems with Applications
As a generalization of intuitionistic fuzzy sets, single-valued neutrosophic sets have certain advantages in solving indeterminate and inconsistent information. In this paper, we study the fuzzy inference full implication method based on single-valued neutrosophic t-representable t-norm. Firstly, single-valued neutrosophic fuzzy inference triple I principles for fuzzy modus ponens and fuzzy modus tollens are given. Then, single-valued neutrosophic R-type triple I solutions for FMP and FMT are given. Finally, the robustness of the full implication triple I method based on the left-continuous single-valued neutrosophic t-representable t-norm is investigated. As a special case of the main results, the sensitivity of full implication …
Pairing New Approach Of Tree Soft With Mcdm Techniques: Toward Advisory An Outstanding Web Service Provider Based On Qos Levels, Sara Fawaz Al-Baker, Ibrahim El-Henawy, Mona Mohamed
Pairing New Approach Of Tree Soft With Mcdm Techniques: Toward Advisory An Outstanding Web Service Provider Based On Qos Levels, Sara Fawaz Al-Baker, Ibrahim El-Henawy, Mona Mohamed
Neutrosophic Systems with Applications
Web services (WSs) have become dynamic because of technological advancements and internet usage. Hence, selecting a WS provider among a variety of WS providers that perform the same function is a critical process. However, the crucial point is that various consumers may have varied needs when it comes to the quality attributes of services, such as cost, response time, throughput, security, availability, etc. These aspects of Web services are known as quality of service (QoS), or non-functional characteristics. Hence, this issue is the robust motivator for conducting this study. The objective of this study is to evaluate a set of …
The Energy Of Interval-Valued Complex Neutrosophic Graph Structures: Framework, Application And Future Research Directions, S.N. Suber Bathusha, Sowndharya Jayakumar, S. Angelin Kavitha Raj
The Energy Of Interval-Valued Complex Neutrosophic Graph Structures: Framework, Application And Future Research Directions, S.N. Suber Bathusha, Sowndharya Jayakumar, S. Angelin Kavitha Raj
Neutrosophic Systems with Applications
Graph structure is a developing field with many real-world applications and advancements, particularly effective frameworks for integrative problem-solving in computer networks and artificial intelligence systems. To define the idea of an Interval-Valued Complex Neutrosophic Graph Structure (IVCNGS), the concept of an Interval-Valued Complex Neutrosophic Set (IVCNS) is applied to the graph structure. Using the adjacency matrix to calculate the degree of vertex, we have defined some findings about the IVCNGS. Further, we compute the energy and Laplacian energy of IVCNGS. Moreover, we derive the lower and upper bounds for the energy and Laplacian energy of IVCNGS, and we have discussed …
The Energy Of Interval-Valued Complex Neutrosophic Graph Structures: Framework, Application And Future Research Directions, S.N. Suber Bathusha, Sowndharya Jayakumar, S. Angelin Kavitha Raj
The Energy Of Interval-Valued Complex Neutrosophic Graph Structures: Framework, Application And Future Research Directions, S.N. Suber Bathusha, Sowndharya Jayakumar, S. Angelin Kavitha Raj
Neutrosophic Systems with Applications
Graph structure is a developing field with many real-world applications and advancements, particularly effective frameworks for integrative problem-solving in computer networks and artificial intelligence systems. To define the idea of an Interval-Valued Complex Neutrosophic Graph Structure (IVCNGS), the concept of an Interval-Valued Complex Neutrosophic Set (IVCNS) is applied to the graph structure. Using the adjacency matrix to calculate the degree of vertex, we have defined some findings about the IVCNGS. Further, we compute the energy and Laplacian energy of IVCNGS. Moreover, we derive the lower and upper bounds for the energy and Laplacian energy of IVCNGS, and we have discussed …
Foundation Of Revolutionary Topologies: An Overview, Examples, Trend Analysis, Research Issues, Challenges, And Future Directions, Florentin Smarandache
Foundation Of Revolutionary Topologies: An Overview, Examples, Trend Analysis, Research Issues, Challenges, And Future Directions, Florentin Smarandache
Neutrosophic Systems with Applications
We now found nine new topologies, such as: NonStandard Topology, Largest Extended NonStandard Real Topology, Neutrosophic Triplet Weak/Strong Topologies, Neutrosophic Extended Triplet Weak/Strong Topologies, Neutrosophic Duplet Topology, Neutrosophic Extended Duplet Topology, Neutrosophic MultiSet Topology, and recall and improve the seven previously founded topologies in the years (2019-2023), namely: NonStandard Neutrosophic Topology, NeutroTopology, AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, SuperHyperTopology, and Neutrosophic SuperHyperTopology. They are called avantgarde topologies because of their innovative forms.
Foundation Of Revolutionary Topologies: An Overview, Examples, Trend Analysis, Research Issues, Challenges, And Future Directions, Florentin Smarandache
Foundation Of Revolutionary Topologies: An Overview, Examples, Trend Analysis, Research Issues, Challenges, And Future Directions, Florentin Smarandache
Neutrosophic Systems with Applications
We now found nine new topologies, such as: NonStandard Topology, Largest Extended NonStandard Real Topology, Neutrosophic Triplet Weak/Strong Topologies, Neutrosophic Extended Triplet Weak/Strong Topologies, Neutrosophic Duplet Topology, Neutrosophic Extended Duplet Topology, Neutrosophic MultiSet Topology, and recall and improve the seven previously founded topologies in the years (2019-2023), namely: NonStandard Neutrosophic Topology, NeutroTopology, AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, SuperHyperTopology, and Neutrosophic SuperHyperTopology. They are called avantgarde topologies because of their innovative forms.
Superhyperfunction, Superhyperstructure, Neutrosophic Superhyperfunction And Neutrosophic Superhyperstructure: Current Understanding And Future Directions, Florentin Smarandache
Superhyperfunction, Superhyperstructure, Neutrosophic Superhyperfunction And Neutrosophic Superhyperstructure: Current Understanding And Future Directions, Florentin Smarandache
Neutrosophic Systems with Applications
The n-th PowerSet of a Set {or Pn(S)} better describes our real world, because a system S (which may be a company, institution, association, country, society, set of objects/plants/animals/beings, set of concepts/ideas/propositions, etc.) is formed by sub-systems, which in their turn by sub-sub-systems, and so on. We prove that the SuperHyperFunction is a generalization of classical Function, SuperFunction, and HyperFunction. And the SuperHyperAlgebra, SuperHyperGraph are part of the SuperHyperStructure. Almost all structures in our real world are Neutrosophic SuperHyperStructures since they have indeterminate/incomplete/uncertain/conflicting data.
On B-Anti-Open Sets: A Formal Definition, Proofs, And Examples, Sudeep Dey, Priyanka Paul, Gautam Chandra Ray
On B-Anti-Open Sets: A Formal Definition, Proofs, And Examples, Sudeep Dey, Priyanka Paul, Gautam Chandra Ray
Neutrosophic Systems with Applications
The concepts of open sets, closed sets, the interior of a set, and the exterior of a set are the most basic concepts in the study of topological spaces in any setting. When we turn our attention to the concept of anti-topological spaces, we encounter analogous fundamental concepts, such as the definition of anti-open sets, anti-closed sets, anti-interior, anti-exterior, etc. These concepts have already been introduced and studied by mathematicians worldwide. In this article, we introduce and study the concepts of b-anti-open set, b-anti-closed set, anti-b-interior, and anti-b-closure in the context of anti-topological spaces and investigate some of their basic …
Ncmpy: A Modelling Software For Neutrosophic Cognitive Maps Based On Python Package, Ilanthenral Kandasamy, Divakar Arumugam, Aryan Rathore, Ateeth Arun, Manan Jain, Vasantha .W.B, Florentin Smarandache
Ncmpy: A Modelling Software For Neutrosophic Cognitive Maps Based On Python Package, Ilanthenral Kandasamy, Divakar Arumugam, Aryan Rathore, Ateeth Arun, Manan Jain, Vasantha .W.B, Florentin Smarandache
Neutrosophic Systems with Applications
Cognitive maps are a vital tool that can be used for knowledge representation and reasoning. Fuzzy Cognitive Maps (FCMs) are popular soft computing techniques used to model large and complex systems, and they can aid in explainable artificial intelligence (AI). FCMs, however, cannot model the indeterminacy that arises in a system due to various uncertainties. Neutrosophic Cognitive Maps (NCMs), upgraded FCMs that could model indeterminacy, were introduced to address this issue. NCMs are a generalization of FCMs, a field of cognitive science firmly based on neural networks. NCMs have been used to solve a wide range of problems. NCMs were …
Some Special Refined Neutrosophic Ideals In Refined Neutrosophic Rings: A Proof-Of-Concept Study, Murhaf Riad Alabdullah
Some Special Refined Neutrosophic Ideals In Refined Neutrosophic Rings: A Proof-Of-Concept Study, Murhaf Riad Alabdullah
Neutrosophic Systems with Applications
In this research, we created notions of a refined neutrosophic prime (completely prime, semiprime, and completely semiprime) ideal in a refined neutrosophic ring. If R(I1, I2) is a refined neutrosophic ring, then each ideal of R(I1, I2) has the form J+KI1+LI2 are ideals of the classical ring R. The objective of this work is to find the necessary and sufficient condition on classical ideals J, L and K that makes J+KI1+LI2 a prime (completely prime, semiprime, and completely semiprime) ideal in R(I1, I2). We studied some of the elementary properties of these concepts and the most important properties that link …
Superhyperfunction, Superhyperstructure, Neutrosophic Superhyperfunction And Neutrosophic Superhyperstructure: Current Understanding And Future Directions, Florentin Smarandache
Superhyperfunction, Superhyperstructure, Neutrosophic Superhyperfunction And Neutrosophic Superhyperstructure: Current Understanding And Future Directions, Florentin Smarandache
Neutrosophic Systems with Applications
The n-th PowerSet of a Set {or Pn(S)} better describes our real world, because a system S (which may be a company, institution, association, country, society, set of objects/plants/animals/beings, set of concepts/ideas/propositions, etc.) is formed by sub-systems, which in their turn by sub-sub-systems, and so on. We prove that the SuperHyperFunction is a generalization of classical Function, SuperFunction, and HyperFunction. And the SuperHyperAlgebra, SuperHyperGraph are part of the SuperHyperStructure. Almost all structures in our real world are Neutrosophic SuperHyperStructures since they have indeterminate/incomplete/uncertain/conflicting data.