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Ambiguous Set Is A Subclass Of The Double Refined Indeterminacy Neutrosophic Set, And Of The Refined Neutrosophic Set In General, Florentin Smarandache

Neutrosophic Sets and Systems

No abstract provided.

Uncertainty-Infused Representation Learning Using Neutrosophic-Based Transformer Network, Mohamed Abdel-Basset

Neutrosophic Sets and Systems

No abstract provided.

Extraction Of Blood Vessels Geometric Shape Features With Catheter Localization And Geodesic Distance Transform For Right Coronary Artery Detection., Ahmed Hawas

Journal of Engineering Research

X-ray angiography is considered the standard imaging sensory system for diagnosing coronary artery diseases. For automated, accurate diagnosis of such diseases, coronary vessels’ detection from the captured low quality and noisy angiography images is challenging. It is essential to detect the main branch of the coronary artery, to resolve such limitations along with the problems due to the sudden changes in the lumen diameter, and the abrupt changes in local artery direction. Accordingly, this paper solved these limitations by proposing a computer-aided detection system for the right coronary artery (RCA) extraction, where geometric shape features with catheter localization and geodesic …

Transition Supply Chain 4.0 To Supply Chain 5.0: Innovations Of Industry 5.0 Technologies Toward Smart Supply Chain Partners, Mona Mohamed, Karam M. Sallam, Ali Wagdy Mohamed

Neutrosophic Systems with Applications

Industry 4.0 provides businesses with the tools they need to meet difficulties such as fluctuating demand and unstable markets. Additionally, Industry 4.0 refers to the connectivity of computers, various materials, and artificial intelligence (AI) with minimum involvement from humans in the decision-making process. Although Industry 4.0 has a significant potential for the expansion of the industrial sector, it faces several hurdles, including integration of technology, problems with human resources, problems with supply chains, and data security concerns. The human-centered approach that Industry 5.0 took meant that many of the problems that plagued Industry 4.0 could finally be solved. In the …

The Encyclopedia Of Neutrosophic Researchers, 5th Volume, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy.

In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.

There are about 7,000 neutrosophic researchers, within 89 countries around the …

Transition Supply Chain 4.0 To Supply Chain 5.0: Innovations Of Industry 5.0 Technologies Toward Smart Supply Chain Partners, Mona Mohamed, Karam M. Sallam, Ali Wagdy Mohamed

Neutrosophic Systems with Applications

Industry 4.0 provides businesses with the tools they need to meet difficulties such as fluctuating demand and unstable markets. Additionally, Industry 4.0 refers to the connectivity of computers, various materials, and artificial intelligence (AI) with minimum involvement from humans in the decision-making process. Although Industry 4.0 has a significant potential for the expansion of the industrial sector, it faces several hurdles, including integration of technology, problems with human resources, problems with supply chains, and data security concerns. The human-centered approach that Industry 5.0 took meant that many of the problems that plagued Industry 4.0 could finally be solved. In the …

A Novel Method Of Decision Making Based On Plithogenic Contradictions, Nivetha Martin, Florentin Smarandache, Sudha S

Neutrosophic Systems with Applications

Plithogenic decision-making models are evolved integrating the Plithogenic modelling approach with various methods of multi-criteria decision-making (MCDM). The earlier Plithogenic based decision methods are primarily based on the degrees of appurtenance. This paper introduces a novel Plithogenic ranking genre of decision-making paradigm based on degrees of contradiction. The method of Decision Making on Plithogenic Contradictions (DMPC) developed in this research work is indigenous and unique as the modeling procedure doesn’t resemble any of the decision methods. This simple and logical approach proposed in this paper is applied in making optimal decisions on supplier selection. The proposed contradiction based Plithogenic model …

Heart Disease Prediction Under Machine Learning And Association Rules Under Neutrosophic Environment, Ahmed A. El-Douh, Songfeng Lu, Ahmed Abdelhafeez, Ahmed M. Ali, Alber S. Aziz

Neutrosophic Systems with Applications

Early identification and precise prediction of heart disease have important implications for preventative measures and better patient outcomes since cardiovascular disease is a leading cause of death globally. By analyzing massive amounts of data and seeing patterns that might aid in risk stratification and individualized treatment planning, machine learning algorithms have emerged as valuable tools for heart disease prediction. Predictive modeling is considered for many forms of heart illness, such as coronary artery disease, myocardial infarction, heart failure, arrhythmias, and valvar heart disease. Resource allocation, preventative care planning, workflow optimization, patient involvement, quality improvement, risk-based contracting, and research progress are …

Optimal Agricultural Land Use: An Efficient Neutrosophic Linear Programming Method, Maissam Jdid, Florentin Smarandache

Neutrosophic Systems with Applications

The increase in the size of the problems facing humans, their overlap, the division of labor, the multiplicity of departments, as well as the diversity of products and commodities, led to the complexity of business and the emergence of many administrative and production problems. It was necessary to search for appropriate methods to confront these problems. The science of operations research, with its diverse methods, provided the optimal solutions. It addresses many problems and helps in making scientific and thoughtful decisions to carry out the work in the best way within the available capabilities. Operations research is one of the …

Neutrosophic Bicubic B-Spline Surface Interpolation Model For Uncertainty Data, Siti Nur Idara Rosli, Mohammad Izat Emir Zulkifly

Neutrosophic Systems with Applications

Dealing with the uncertainty data problem using neutrosophic data is difficult since certain data are wasted due to noise. To address this issue, this work proposes a neutrosophic set (NS) strategy for interpolating the B-spline surface. The purpose of this study is to visualize the neutrosophic bicubic B-spline surface (NBB-sS) interpolation model. Thus, the principal results of this study introduce the NBB-sS interpolation method for neutrosophic data based on the NS notion. The neutrosophic control net relation (NCNR) is specified first using the NS notion. The B-spline basis function is then coupled to the NCNR to produce the NBB-sS. This …

Neutrosophic Multi-Criteria Decision-Making Framework For Sustainable Evaluation Of Power Production Systems In Renewable Energy Sources, Ahmed M.Ali, Myvizhi Muthuswamy

Sustainable Machine Intelligence Journal

To make the change to a cleaner, more sustainable energy future, it is essential that power production systems be evaluated sustainably. To estimate the overall sustainability performance of various power production systems, this evaluation takes into account a wide range of parameters. Impact on the environment, availability of renewable resources, resource efficiency, social and economic implications, economic feasibility, grid integration and dependability, technical maturity, and scalability are all taken into account. Stakeholders may make better judgments and give higher priority to power production systems that take into account environmental impacts, resource efficiency, social impacts, and economic viability by evaluating these …

Trigonometric Similarity Measures Of Pythagorean Neutrosophic Hypersoft Sets, Ramya G, Francina Shalini A

Neutrosophic Systems with Applications

In our daily life, most problems stem from the wrong decisions. Similarity measures (SMs) are very helpful in making good decisions. In this paper, distinct similarities of Pythagorean Neutrosophic Hypersoft Sets (PNHSSs) and its properties are presented. Finally, the proposed SMs applied for converting plastic waste into energy source problems. Comparing various suggested similarities makes decision-making simple, easy, and accurate.

Pura Vida Neutrosophic Algebra, Ranulfo Paiva Barbosa (Sobrinho), Florentin Smarandache

Neutrosophic Systems with Applications

We introduce Pura Vida Neutrosophic Algebra, an algebraic structure consisting of neutrosophic numbers equipped with two binary operations namely addition and multiplication. The addition can be calculated sometimes with the function min and other times with the max function. The multiplication operation is the usual sum between numbers. Pura Vida Neutrosophic Algebra is an extension of both Tropical Algebra (also known as Min-Plus, or Min-Algebra) and Max-Plus Algebra (also known as Max-algebra). Tropical and Max-Plus algebras are algebraic structures included in semirings and their operations can be used in matrices and vectors. Pura Vida Neutrosophic Algebra is included in Neutrosophic …

A Neutrosophic Approach For B-Spline Curve By Using Interpolation Method, Siti Nur Idara Binti Rosli, Mohammad Izat Emir Bin Zulkifly

Neutrosophic Systems with Applications

This study introduces a B-spline curve interpolation model based on the neutrosophic set technique. To begin, the neutrosophic notion is used to define the neutrosophic control point relation. After that, the neutrosophic control point is combined with the B-spline basis function. Besides, the neutrosophic B-spline curve interpolation model is illustrated using the interpolation method. Furthermore, an example and the methods are shown for creating the right curve.

Fixed Point Results In Neutrosophic Rectangular Extended B-Metric Spaces, Naeem Saleem, Umar Ishtiaq, Khaleel Ahmad, Salvatore Sessa, Ferdinando Di Martino

Neutrosophic Systems with Applications

In this manuscript, we establish the notion of neutrosophic rectangular extended b-metric spaces and derive some fixed point results for contraction mappings. Also, we provide several non-trivial examples. Our results are more generalized with respect to the existing ones in the literature. At the end of the paper, we provide an application to non-linear fractional differential equations to test the validity of the results.

A New Approach For The Statistical Convergence Over Non-Archimedean Fields In Neutrosophic Normed Spaces, Jeyaraman M., Iswariya S.

Neutrosophic Systems with Applications

The goal of the research involves elaborating on the topics of statistical convergence, including statistical Cauchy sequences within non-Archimedean Neutrosophic normed spaces, as well as achieving specific useful conclusions. The present research shows how, within a non-Archimedean field, certain sections of statistically convergent sequences that could not be true often become true. Likewise, we created statistically complete and statistically continuous spaces for such regions that demonstrated certain essential facts. κ indicates a complete field of non-Archimedean and non-trivially valued research.

An Analysis Of Obesity In School Children During The Pandemic Covid-19 Using Plithogenic Single Valued Fuzzy Sets, S. P. Priyadharshini, F. Nirmala Irudayam

Neutrosophic Systems with Applications

The objective of this research is to examine the perception that school children with obesity, when excluded from organized academic performance and constrained to their residences during the coronavirus epidemic 2019, will reveal negative consequences in health behaviors. To meet the objective, the concept of Plithogenic Single valued fuzzy sets (PSFS) and their aggregation operators were introduced. Based on the proposed theory, an analysis is presented with the case study to highlight its practicality and preciseness.

Graphical Method For Solving Neutrosophical Nonlinear Programming Models, Maissam Jdid, Florentin Smarandache

Neutrosophic Systems with Applications

An important method for finding the optimal solution for linear and nonlinear models is the graphical method, which is used if the linear or nonlinear mathematical model contains one, two, or three variables. The models that contain only two variables are among the most models for which the optimal solution has been obtained graphically, whether these models are linear or non-linear in references and research that are concerned with the science of operations research, when the data of the issue under study is classical data. In this research, we will present a study through, which we present the graphical method …

Covering Properties Via Neutrosophic B-Open Sets, Sudeep Dey, Gautam Chandra Ray

Neutrosophic Systems with Applications

The purpose of this article is to study some covering properties in neutrosophic topological spaces using neutrosophic b-open sets. We define neutrosophic b-open cover, neutrosophic b-compactness, neutrosophic countably b-compactness neutrosophic b-Lindelofness, neutrosophic local b-compactness and study various properties entangled with them. We study some covering properties involving neutrosophic continuous, neutrosophic b-continuous and neutrosophic b*-continuous functions. Lastly, we define neutrosophic base, neutrosophic subbase, neutrosophic second countability via neutrosophic b-open sets and investigate some properties.

Toward Energy Transformation: Intelligent Decision-Making Model Based On Uncertainty Neutrosophic Theory, Mona Mohamed, Nissreen El-Saber

Neutrosophic Systems with Applications

There has been an increasing tendency for the generation of energy from diverse renewable resources because of the application of contemporary pollution mitigation and justification regulations. Precisely a consequence, choosing the best renewable energy source might be considered a challenging issue given the complexity of the future conditions in any society. Environmental, economic, social, and technical aspects are merely some of the factors that are taken into consideration while evaluating renewable energy sources (RnESs). The suitable RES selection problem, which relies on ambiguous and imprecise data, is also influenced by a variety of circumstances. Hence, this study constructs multi-stages intelligent …

Neutrosophic Adaptive Lsb And Deep Learning Hybrid Framework For Ecg Signal Classification, Abdallah Rezk, Ahmed S. Sakr, H. M. Abdulkader

Applied Mathematics & Information Sciences

This paper proposes a novel hybrid framework for ECG signal classification and privacy preservation. The framework includes two phases: the first phase uses LSTM+CNN with attention gate for ECG classification, while the second phase utilizes adaptive least signal bit with neutrosophic for hiding important data during transmission. The proposed framework converts data into three sets of degrees (true, false, and intermediate) using neutrosophic and passes them to an embedding layer. In the sender part, the framework hides important data in ECG signal as true and false degrees, using the intermediate set as a shared dynamic key between sender and receiver. …

Generalization Of Renyi’S Entropy And Its Application In Source Coding, Ashiq Hussain Bhat, Niyamat Ali Siddiqui, Ismail A Mageed, Shawkat Alkhazaleh, Vidyanand Rabi Das, M. A. K Baig

Applied Mathematics & Information Sciences

In this paper, we introduce a new generalization of Renyis entropy β(P) and the most important feature of this generalized entropy Rαβ (P) is that it derives most important entropies that are well known and influence information theory and applied mathematics. Some significant properties of Rαβ (P) has been undertaken in this article. In addition, we introduce a new generalized exponentiated mean codeword length Lβα (P) in this article then determine how Rβα (P) and Lβα (P) are related in terms of source coding theorem.

Single-Valued Pentapartitioned Neutrosophic Weighted Hyperbolic Tangent Similarity Measure To Determine The Most Significant Environmental Risks During The Covid-19 Pandemic, Priyanka Majumder, Arnab Paul, Surapati Pramanik

Neutrosophic Sets and Systems

No abstract provided.

On Derived Superhyper Be-Algebras, Sirus Jahanpanah, Roohallah Daneshpayeh

Neutrosophic Sets and Systems

No abstract provided.

Neutrosophic Hesitant Fuzzy Techniques And Its Application To Structural Design, Sanjoy Biswas, Samir Dey

Neutrosophic Sets and Systems

No abstract provided.

Multi-Attribute Group Decision-Making Based On The Neutrosophic Bonferroni Mean Operator, A. Kanchana, D. Nagarajan, S. Broumi

Neutrosophic Sets and Systems

No abstract provided.

Solution And Analysis Of System Of Differential Equation With Initial Condition As ����������������������, M. Shanmugapriya, R. Sundareswaran, S Said Broumi

Neutrosophic Sets and Systems

No abstract provided.

Evaluation The Impact Potentials Of Materials And Systems With Specific Criteria Under Neutrosophic Set, Ayman H. Abdel-Aziem, Tamer H.M. Soliman, Ahmed M.Ali, Ahmed Abdelhafeez

Neutrosophic Sets and Systems

No abstract provided.

Calculation Of Fuzzy Shortest Path Problem Using Multi-Valued Neutrosophic Number Under Fuzzy Environment, Prasanta Kumar Raut, Siva Prasad Behera, Said Broumi, Debdas Mishra

Neutrosophic Sets and Systems

No abstract provided.

On Hypersoft Semi-Open Sets, V. Inthumathi, M. Amsaveni, M. Nathibrami

Neutrosophic Sets and Systems

No abstract provided.