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Trigonometric Similarity Measures Of Pythagorean Neutrosophic Hypersoft Sets, Ramya G, Francina Shalini A Sep 2023

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 Sep 2023

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 Sep 2023

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 Sep 2023

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. Sep 2023

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 Sep 2023

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 Sep 2023

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 Sep 2023

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 Sep 2023

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 Sep 2023

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 Sep 2023

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.


Ranking And Analysis The Strategies Of Crowd Management To Reduce The Risks Of Crushes And Stampedes In Crowded Environments And Ensure The Safety Of Passengers, Waleed Tawfiq Al-Nami Aug 2023

Ranking And Analysis The Strategies Of Crowd Management To Reduce The Risks Of Crushes And Stampedes In Crowded Environments And Ensure The Safety Of Passengers, Waleed Tawfiq Al-Nami

Neutrosophic Systems with Applications

Public gatherings, transit hubs, stadiums, and crowded retail malls are just a few examples of places where crowd management has become an urgent issue in recent years. Effective crowd management strategies have been required due to the increasing population, urbanization, and frequency of large-scale meetings. These strategies are used in dynamic, sometimes chaotic, circumstances to protect people and facilitate their free movement. The purpose of this study is to analyze and rank various strategies for crowd management to reduce the risks of crushes and stampedes, improve security, and facilitate smoother traffic flow. This study used the single-valued neutrosophic set to …


New Statistical Methodology For Capacitor Data Analysis Via Lcr Meter, Usama Afzal, Muhammad Aslam Aug 2023

New Statistical Methodology For Capacitor Data Analysis Via Lcr Meter, Usama Afzal, Muhammad Aslam

Neutrosophic Systems with Applications

This research work introduces a novel methodology to establish the relationship between capacitance and resistance when dealing with imprecise data obtained from LCR meters. The proposed relationship is based on the principles of neutrosophic statistics, enabling the utilization of interval data of resistance or capacitance without losing the indeterminacy of the intervals. By employing this relationship, we can accurately determine capacitance values from interval data of resistance, thereby generating more flexible and informative graphs. Additionally, we have applied the neutrosophic analysis method to the interval data of resistance to further enhance our findings. The comparative analysis demonstrates the superiority of …


New Types Of Soft Sets” Hypersoft Set, Indetermsoft Set, Indetermhypersoft Set, And Treesoft Set”: An Improved Version, Florentin Smarandache Aug 2023

New Types Of Soft Sets” Hypersoft Set, Indetermsoft Set, Indetermhypersoft Set, And Treesoft Set”: An Improved Version, Florentin Smarandache

Neutrosophic Systems with Applications

This is an improved paper of [10], where we recall the definitions together with practical applications of the Soft Set and its extensions to HyperSoft Set, IndetermSoft Set, IndetermHyperSoft Set, and TreeSoft Set.


An Introduction To Bipolar Pythagorean Refined Sets, R. Janani, A. Francina Shalini Aug 2023

An Introduction To Bipolar Pythagorean Refined Sets, R. Janani, A. Francina Shalini

Neutrosophic Systems with Applications

The aim of this paper is to introduce the new concept of a Bipolar Pythagorean refined set by combining the two notions called a Bipolar Pythagorean set and a Pythagorean refined set. Also, the basic operations and algebraic properties of the Bipolar Pythagorean refined set are discussed with suitable examples.


Generalized Double Statistical Convergence Sequences On Ideals In Neutrosophic Normed Spaces, Jeyaraman M., Iswariya S., Pandiselvi R. Aug 2023

Generalized Double Statistical Convergence Sequences On Ideals In Neutrosophic Normed Spaces, Jeyaraman M., Iswariya S., Pandiselvi R.

Neutrosophic Systems with Applications

In this present research, having view in the Neutrosophic norm (u, v, w), which we presented I2-lacunary statistical convergence and I2-lacunary convergence strongly, looked into interactions between them, and made a few findings regarding the respective categories. At least went further to look at how both of such case approaches relate to I2-statistical convergence within the relevant Neutrosophic normed space.


Ber Analysis Of Bpsk Modulation Scheme For Multiple Combining Schemes Over Flat Fading Channel, Zuhaib Nishtar, Jamil Afzal Aug 2023

Ber Analysis Of Bpsk Modulation Scheme For Multiple Combining Schemes Over Flat Fading Channel, Zuhaib Nishtar, Jamil Afzal

Neutrosophic Systems with Applications

Focus of the study was to provide error-free communication in mobile communication with higher data rates, spectral efficiency, and energy efficient. Basically, work was done to investigate the performance of the Binary Phase Shift Keying (BPSK) modulation technique for multiple combining schemes and the behavior of signal in wireless communication where multipath propagation and uncertainty in the system. We use the Multiple-input Multiple-output (MIMO) and antenna diversity to get many copies of the same signal; some of them were faded, but some had sufficient information. Then the next step was to combine or select the best signal to achieve the …


Neutrosophic Gsα* - Open And Closed Maps In Neutrosophic Topological Spaces, P. Anbarasi Rodrigo, S. Maheswari Jul 2023

Neutrosophic Gsα* - Open And Closed Maps In Neutrosophic Topological Spaces, P. Anbarasi Rodrigo, S. Maheswari

Neutrosophic Systems with Applications

The main aim of this paper is to introduce a new concept of Neu-mapping namely Neugsa*-open maps and Neugsa* -closed maps in Neu-topological spaces. Additionally, we relate the properties and characterizations of these mappings with the other mappings in Neu-topological spaces.


An Investigative Study On Quick Switching System Using Fuzzy And Neutrosophic Poisson Distribution, Uma G, Nandhitha S Jul 2023

An Investigative Study On Quick Switching System Using Fuzzy And Neutrosophic Poisson Distribution, Uma G, Nandhitha S

Neutrosophic Systems with Applications

Stephens and Larson (1967) stated the sampling system as an allotted grouping of two or three sampling plans and the rules for switching between the plans for sentencing the lots of manufactured products. Quick Switching System (QSS) by Romboski (1969) is a sampling system with reference to the Single Sampling Plan (SSP) involves normal and tightened plans by adopting a switching rule. QSS provides quality protection and a reduction in the cost of inspection. The idea of fuzzy logic is adopted in the system to handle situations of fraction non-confirmation, uncertainty, or vagueness present in the parameters. The sampling plans …


An Investigative Study On Quick Switching System Using Fuzzy And Neutrosophic Poisson Distribution, Uma G, Nandhitha S Jul 2023

An Investigative Study On Quick Switching System Using Fuzzy And Neutrosophic Poisson Distribution, Uma G, Nandhitha S

Neutrosophic Systems with Applications

Stephens and Larson (1967) stated the sampling system as an allotted grouping of two or three sampling plans and the rules for switching between the plans for sentencing the lots of manufactured products. Quick Switching System (QSS) by Romboski (1969) is a sampling system with reference to the Single Sampling Plan (SSP) involves normal and tightened plans by adopting a switching rule. QSS provides quality protection and a reduction in the cost of inspection. The idea of fuzzy logic is adopted in the system to handle situations of fraction non-confirmation, uncertainty, or vagueness present in the parameters. The sampling plans …


A Perspective Note On Μ_N Σ Baire’S Space, N. Raksha Ben, G. Hari Siva Annam, G. Helen Rajapushpam Jul 2023

A Perspective Note On Μ_N Σ Baire’S Space, N. Raksha Ben, G. Hari Siva Annam, G. Helen Rajapushpam

Neutrosophic Systems with Applications

This paper presents an introduction to many novel types of sets, including μN strongly dense sets, μN strongly nowhere dense sets, μN strongly first category sets, and μN strongly nowhere residual sets. The features of these sets are briefly elucidated. In addition, by the use of these techniques, we have successfully obtained the highly Baire space μN, and it is imperative to elucidate its inherent features.


A Newfangled Interpretation On Fermatean Neutrosophic Dombi Fuzzy Graphs, D. Sasikala, B. Divya Jul 2023

A Newfangled Interpretation On Fermatean Neutrosophic Dombi Fuzzy Graphs, D. Sasikala, B. Divya

Neutrosophic Systems with Applications

Neutrosophic Dombi fuzzy graph is an advancement of the Dombi fuzzy graph and intuitionistic Dombi fuzzy graph. In this paper, we have initiated a new concept of the Fermatean neutrosophic Dombi fuzzy graph. Further, we identified a few products of the direct, cartesian, composition of Fermatean neutrosophic Dombi fuzzy graphs. Also, we examined the related proposition with suitable illustrations with graphs.


Mitigating Landslide Hazards In Qena Governorate Of Egypt: A Gis-Based Neutrosophic Paprika Approach, Nabil M. Abdelaziz, Safa Al-Saeed Jul 2023

Mitigating Landslide Hazards In Qena Governorate Of Egypt: A Gis-Based Neutrosophic Paprika Approach, Nabil M. Abdelaziz, Safa Al-Saeed

Neutrosophic Systems with Applications

This paper presents a novel approach to landslide susceptibility assessment in the Qena Governorate, Egypt, integrating the neutrosophic Multi-Criteria Decision-Making (MCDM) method, the Potentially All Pairwise RanKings of all possible Alternatives (PAPRIKA), and the ArcGIS weighted overlay technique. The research focuses on the quantification and prioritization of eight criteria: slope, aspect, proximity to road, soil type, proximity to river, land cover, elevation, and Lithology. These factors are evaluated under the uncertainty and indeterminacy of the neutrosophic environment by employing the PAPRIKA method. The results of the analysis are visualized and interpreted using ArcGIS weighted overlay, offering spatially explicit insights into …


Mitigating Landslide Hazards In Qena Governorate Of Egypt: A Gis-Based Neutrosophic Paprika Approach, Nabil M. Abdelaziz, Safa Al-Saeed Jul 2023

Mitigating Landslide Hazards In Qena Governorate Of Egypt: A Gis-Based Neutrosophic Paprika Approach, Nabil M. Abdelaziz, Safa Al-Saeed

Neutrosophic Systems with Applications

This paper presents a novel approach to landslide susceptibility assessment in the Qena Governorate, Egypt, integrating the neutrosophic Multi-Criteria Decision-Making (MCDM) method, the Potentially All Pairwise RanKings of all possible Alternatives (PAPRIKA), and the ArcGIS weighted overlay technique. The research focuses on the quantification and prioritization of eight criteria: slope, aspect, proximity to road, soil type, proximity to river, land cover, elevation, and Lithology. These factors are evaluated under the uncertainty and indeterminacy of the neutrosophic environment by employing the PAPRIKA method. The results of the analysis are visualized and interpreted using ArcGIS weighted overlay, offering spatially explicit insights into …


Neutrosophic Decision Making Model For Investment Portfolios Selection And Optimizing Based On Wide Variety Of Investment Opportunities And Many Criteria In Market, Ayman H. Abdel-Aziem, Hoda K. Mohamed, Ahmed Abdelhafeez Jun 2023

Neutrosophic Decision Making Model For Investment Portfolios Selection And Optimizing Based On Wide Variety Of Investment Opportunities And Many Criteria In Market, Ayman H. Abdel-Aziem, Hoda K. Mohamed, Ahmed Abdelhafeez

Neutrosophic Systems with Applications

Investment portfolio selection is a difficult subject due to the presence of competing factors. Choosing a portfolio for one's investments is a major choice that may have far-reaching effects on one's financial well-being. Risk tolerance, time horizon, investing objectives, asset allocation, and investment selection are only a few of the factors that will be studied in this article. The Stable Preference Ordering Towards Ideal Solution (SPOTIS) technique is the basis for our proposed integrated multi-criteria decision-making (MCDM) model. This paper used the single-valued neutrosophic set as a framework to deal with uncertain data. The purpose of the suggested SPOTIS–Neutrosophic model …


Neutrosophic Decision Making Model For Investment Portfolios Selection And Optimizing Based On Wide Variety Of Investment Opportunities And Many Criteria In Market, Ayman H. Abdel-Aziem, Hoda K. Mohamed, Ahmed Abdelhafeez Jun 2023

Neutrosophic Decision Making Model For Investment Portfolios Selection And Optimizing Based On Wide Variety Of Investment Opportunities And Many Criteria In Market, Ayman H. Abdel-Aziem, Hoda K. Mohamed, Ahmed Abdelhafeez

Neutrosophic Systems with Applications

Investment portfolio selection is a difficult subject due to the presence of competing factors. Choosing a portfolio for one's investments is a major choice that may have far-reaching effects on one's financial well-being. Risk tolerance, time horizon, investing objectives, asset allocation, and investment selection are only a few of the factors that will be studied in this article. The Stable Preference Ordering Towards Ideal Solution (SPOTIS) technique is the basis for our proposed integrated multi-criteria decision-making (MCDM) model. This paper used the single-valued neutrosophic set as a framework to deal with uncertain data. The purpose of the suggested SPOTIS–Neutrosophic model …


Lagrange Multipliers And Neutrosophic Nonlinear Programming Problems Constrained By Equality Constraints, Maissam Jdid, Florentin Smarandache Jun 2023

Lagrange Multipliers And Neutrosophic Nonlinear Programming Problems Constrained By Equality Constraints, Maissam Jdid, Florentin Smarandache

Neutrosophic Systems with Applications

Operations research science is defined as the science that is concerned with applying scientific methods to complex problems in managing and directing large systems of people, including resources and tools in various fields, private and governmental work, peace and war, politics, administration, economics, planning and implementation in various domains. It uses scientific methods that take the language of mathematics as a basis for it and uses computer, without which it would not have been possible to achieve numerical solutions to the raised problems, those that need correct solutions, when the solutions abound and the options are multiple, so we need …


Properties Of Redefined Neutrosophic Composite Relation, Sudeep Dey, Gautam Chandra Ray Jun 2023

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.


Identify The Most Productive Crop To Encourage Sustainable Farming Methods In Smart Farming Using Neutrosophic Environment, Ahmed Abdelhafeez, Hadeer Mahmoud, Alber S. Aziz Jun 2023

Identify The Most Productive Crop To Encourage Sustainable Farming Methods In Smart Farming Using Neutrosophic Environment, Ahmed Abdelhafeez, Hadeer Mahmoud, Alber S. Aziz

Neutrosophic Systems with Applications

Only with careful management can the data provided by crops be used to make smart, profitable choices. Data has become the central ingredient in contemporary agriculture, and the recent advancements in handling it are contributing greatly to the meteoric rise of smart farming. Gains in efficiency and longevity may be realized to a significant degree by using the objective data collected by sensors. These data-driven farms can maximize output while minimizing waste and environmental impact thanks to the information they collect and analyze. Various criteria and factors in smart farming can aid in productivity. Sensors, drones, Global Positioning System (GPS) …


Identify The Most Productive Crop To Encourage Sustainable Farming Methods In Smart Farming Using Neutrosophic Environment, Ahmed Abdelhafeez, Hadeer Mahmoud, Alber S. Aziz Jun 2023

Identify The Most Productive Crop To Encourage Sustainable Farming Methods In Smart Farming Using Neutrosophic Environment, Ahmed Abdelhafeez, Hadeer Mahmoud, Alber S. Aziz

Neutrosophic Systems with Applications

Only with careful management can the data provided by crops be used to make smart, profitable choices. Data has become the central ingredient in contemporary agriculture, and the recent advancements in handling it are contributing greatly to the meteoric rise of smart farming. Gains in efficiency and longevity may be realized to a significant degree by using the objective data collected by sensors. These data-driven farms can maximize output while minimizing waste and environmental impact thanks to the information they collect and analyze. Various criteria and factors in smart farming can aid in productivity. Sensors, drones, Global Positioning System (GPS) …