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University Mathematics Classroom Teaching Quality Assessment Based On Core Competencies Using The Dematel Approach And Single-Valued Neutrosophic Hypersoft Sets, Jingjing Qiao
Neutrosophic Sets and Systems
This study proposes a multi-criteria decision-making (MCDM) approach to evaluate the quality of University Mathematics Classroom Teaching based on core competencies. The MCDM approach is applied within the framework of the neutrosophic set to address vague and uncertain data. Unlike the hypersoft set, which handles multiple disjoint attribute-valued sets corresponding to various characteristics, the soft set operates with a single set of attributes. This study introduces the concept of Single-Valued Neutrosophic Hypersoft Expert Sets (SVNS), which integrate single-valued neutrosophic sets and hypersoft expert sets. Eight criteria were employed to construct the pairwise comparison matrix. The Decision-Making Trial and Evaluation Laboratory …
Intuitionistic Quadri-Partitioned Neutrosophic Sets With Extended Operators, Sai Anu P, Arulselvam A, Bobin A
Intuitionistic Quadri-Partitioned Neutrosophic Sets With Extended Operators, Sai Anu P, Arulselvam A, Bobin A
Neutrosophic Sets and Systems
We present the concept of intuitionistic quadri-partitioned neutrosophic sets (IQ-PNSs) and extend it to intuitionistic quadri-partitioned neutrosophic soft sets (IQ-PNSSs). These sets introduce a constraint where the combined membership values for truth and falsity must not exceed one, while the indeterminacy and contradiction membership values are restricted to the interval [01], ensuring the total sum of all membership values remains below three. In addition, we de ne necessity and possibility operators, along with two novel operators, ( and ), on IQ-PNSSs and explore their properties. Furthermore, we introduce and analyze the operators , , and , as well as the …
Neutrosophic Analysis Of The Cultural Impact Of The Pinkullo In Llata: Integrating Chatgpt And Fsqca, Fredy Romulo Marcellini Morales, Betty Leon Trujillo, Esio Ocana Igarza, Roberto Carlos Cardenas Viviano
Neutrosophic Analysis Of The Cultural Impact Of The Pinkullo In Llata: Integrating Chatgpt And Fsqca, Fredy Romulo Marcellini Morales, Betty Leon Trujillo, Esio Ocana Igarza, Roberto Carlos Cardenas Viviano
Neutrosophic Sets and Systems
This study explores the cultural impact of the Pinkullo, a traditional Andean aerophone, on the community of Llata, Peru, through an innovative approach that integrates neutrosophic set theory with computational methods. By employing fuzzy-set Qualitative Comparative Analysis (fsQCA) and a novel application of ChatGPT for neutrosophic sentiment analysis, the research investigates the complex interplay between the Pinkullo and various aspects of community life, including cultural participation, social impact, and cultural preservation. Textual data collected from surveys was analyzed using the "ChatGPT Constructor" add-on in Orange Data Mining to generate neutrosophic scores, representing the truth, indeterminacy, and falsity of expressed sentiments …
Implication-Based Neutrosophic Finite State Machine Over A Finite Group, S. Jafari, N. Rajesh, G. Nordo, M. Gorgone
Implication-Based Neutrosophic Finite State Machine Over A Finite Group, S. Jafari, N. Rajesh, G. Nordo, M. Gorgone
Neutrosophic Sets and Systems
In this paper, we define and investigate the concept of the implication-based neutrosophic finite state machine (IB-IFSA) over a finite group. Building upon the framework of neutrosophic logic, we introduce the implication-based neutrosophic kernel and the implication-based neutrosophic subsemiautomaton, establishing their formal definitions and properties. Additionally, we explore the structural interplay between these concepts and their implications within algebraic systems
The Improper Neutrosophic Integrals, Yaser Ahmad Alhasan, Issam Mohammed Abdallah Abdalaziz, Raja Abdullah Abdulfatah, Florentin Smarandache
The Improper Neutrosophic Integrals, Yaser Ahmad Alhasan, Issam Mohammed Abdallah Abdalaziz, Raja Abdullah Abdulfatah, Florentin Smarandache
Neutrosophic Sets and Systems
In light of the expansion of research that dealt with the logic of the neutrosophic and its clear spread at the level of science, it was necessary for us to continue in the series of research that covers the calculus of neutrosophic integration, and this is what led us to study the improper neutrosophic integrals. This study dealt with the types of the improper neutrosophic integrals of the first and second kind. In addition, we discussed the concept of convergent and divergent neutrosophic integrals. As well as providing a set of examples related to these ideas.
Enhancing Competency-Based Learning With Neutrosophic Regression And The Deming Cycle, Dr Hortencio Flores Flores, Dr. Irma Reyes Blácido, Dr. Magda Patricia Ramos Cevallos, Dr. Nemesia Hidalgo Penadillo Hidalgo Penadillo, Mg. Luz Magali Villarroel Nuñez
Enhancing Competency-Based Learning With Neutrosophic Regression And The Deming Cycle, Dr Hortencio Flores Flores, Dr. Irma Reyes Blácido, Dr. Magda Patricia Ramos Cevallos, Dr. Nemesia Hidalgo Penadillo Hidalgo Penadillo, Mg. Luz Magali Villarroel Nuñez
Neutrosophic Sets and Systems
This article introduces a novel approach to enhance competency-based learning by combining the Deming Cycle with neutrosophic statistics. Competency-based education focuses on practical skills, but uncertainty in student performance and assessment can hinder its effectiveness. Neutrosophic statistics, unlike traditional methods, explicitly models indeterminacy, providing a more complete picture of uncertainty in educational data. This approach integrates neutrosophic numbers into re gression analysis to predict learning outcomes and quantify the confidence level of those predictions. These predictions, with their associated indeterminacy, then inform the Deming Cycle (Plan-Do Check-Act), enabling educators to dynamically adjust teaching strategies based on data-driven in sights. This …
A Concise Introduction To Hyperfuzzy, Hyperneutrosophic, Hyperplithogenic, Hypersoft, And Hyperrough Sets With Practical Examples, Takaaki Fujita, Florentin Smarandache
A Concise Introduction To Hyperfuzzy, Hyperneutrosophic, Hyperplithogenic, Hypersoft, And Hyperrough Sets With Practical Examples, Takaaki Fujita, Florentin Smarandache
Neutrosophic Sets and Systems
Various set concepts are widely recognized for effectively addressing u ncertainty, including fuzzy sets, neutrosophic sets, plithogenic sets, rough sets, and soft sets. These concepts have been further extended through hyperstructures (based on powersets) and superhyperstructures (based on n-th powersets, which are sets with repeated power set structures) [5,12–14,32]. These extensions are commonly referred to as HyperUncertain, SuperUncertain, and SuperHyperUncertain Sets/Logics/Probabilities/Statistics, and they were introduced by Smarandache in 2016-2017 [32] as parts of HyperStructures, SuperStructures, and SuperHyperStructures respectively. This paper recalls these concepts along with concrete examples.
Stock Price Predictions With Lstm-Arima Hybrid Model Under Neutrosophic Treesoft Sets With Mcdm Interaction, G. Dhanalakshmi, Dr. S. Sandhiya, Florentin Smarandache
Stock Price Predictions With Lstm-Arima Hybrid Model Under Neutrosophic Treesoft Sets With Mcdm Interaction, G. Dhanalakshmi, Dr. S. Sandhiya, Florentin Smarandache
Neutrosophic Sets and Systems
The stock market is regarded as volatile, complex, tumultuous, and dynamic. Forecasting stock performance has proven to be a challenging endeavour due to its increasing need for investment and growth prospects. At the forefront of machine learning, deep learning models facilitate the straightforward and efficient exploration and identification of optimal stocks, the hybrid forecasting models (LSTM and ARIMA) are used in the prediction of stock increase. This paper incorporated the MCDM technique to determine the optimal stocks for investment. The Analytic Hierarchy Process (AHP) is used to assign weights to various financial factors. These weights are then used by the …
Risk Assessment Of Steel Structure Engineering Cost Using Multi-Criteria Decision-Making Approach Under Uncertainty, Bijun Ni
Neutrosophic Sets and Systems
Choosing options with complex, ambiguous, and contradicting criteria is a common challenge for decision-makers. To choose the optimal option, they typically use multicriteria decision-making techniques, in which specialists manage the relative importance of conflicting tangible and intangible criteria to identify and evaluate possible courses of action. Making decisions involves one or more people selecting the best option from a range of potential options. This study proposes multi-criteria decision making (MCDM) method to compute the criteria weights are rank the alternatives. The MCDM approach is applied for risk assessment to cost in steel structure engineering. This problem includes many criteria and …
Single-Valued Neutrosophic Graph With Heptapartitioend Structure, Hanaa Fathi, M. Myvizhi, Ahmed Abdelhafeez, Mohamed Refaat Abdellah, Mohamed Eassa, Mohamed S. Sawah, Hussam Elbehiery
Single-Valued Neutrosophic Graph With Heptapartitioend Structure, Hanaa Fathi, M. Myvizhi, Ahmed Abdelhafeez, Mohamed Refaat Abdellah, Mohamed Eassa, Mohamed S. Sawah, Hussam Elbehiery
Neutrosophic Sets and Systems
This study applies single-valued neutrosophic sets, which extend the frameworks of fuzzy and intuitionistic fuzzy sets, to graph theory. We introduce a new category of graphs called Single-Valued Heptapartitioned Neutrosophic Graphs (SVHNG) and investigate their characteristics through comprehensive proofs and illustrative examples.
Evaluating Construction Projects Of Urban Road And Bridge Based On Environmental Sustainability With Mcdm Methodology, Zhenhua Sun
Evaluating Construction Projects Of Urban Road And Bridge Based On Environmental Sustainability With Mcdm Methodology, Zhenhua Sun
Neutrosophic Sets and Systems
Evaluation construction projects of road and bridge has various criteria so, we used the concept of multi-criteria decision making (MCDM) methodology to deal with these criteria. The MOORA methodology is a MCDM methodology used to rank various projects. MOORA methodology is integrated under the Plithogenic set to deal with uncertainty data. The Plithogenic set is an extension of neutrosophic sets. Three experts are invited to evaluate the criteria and alternatives. This study gathered seven criteria and 13 alternatives. We compute the criteria weights and rank the alternatives. The results show the Environmental Impact Mitigation criterion has the highest weights and …
Improved Maut Framework For Quality Evaluation Of University Party Building Work In The New Era Based On The Interval Neutrosophic Multi-Attribute Group Decision-Making, Yao Mo
Neutrosophic Sets and Systems
In the new era, the evaluation of the quality of party-building work in universities focuses on strengthening political, ideological, and organizational construction. By using a scientific evaluation system, it ensures the implementation of Party theories and policies. It emphasizes innovative methods to enhance Party members' ideological awareness and organizational skills, promoting the integration of Party building with education. This ensures the Party's leadership plays a central role in all university activities, driving comprehensive development. The quality evaluation of university party building work in the new era is a multi-attribute group decision-making (MAGDM) problem. Recently, both the MAUT method and the …
Determinant Theory Of Quadri-Partitioned Neutrosophic Fuzzy Matrices And Its Application To Multi-Criteria Decision-Making Problems, M. Anandhkumar, S. Prathap, R. Ambrose Prabhu, P. Tharaniya, K. Thirumalai, B. Kanimozhi
Determinant Theory Of Quadri-Partitioned Neutrosophic Fuzzy Matrices And Its Application To Multi-Criteria Decision-Making Problems, M. Anandhkumar, S. Prathap, R. Ambrose Prabhu, P. Tharaniya, K. Thirumalai, B. Kanimozhi
Neutrosophic Sets and Systems
We explore the determinant theory for Quadri-Partitioned Neutrosophic Fuzzy Matrices (QPNFMs), investigating det ( Padj P ( ) ) det ( ) P their = = det ( properties. adj P P ( ) ) . In this study, we establish that Additionally, we propose a refined method to compute the determinant of matrices with a higher number of rows and columns. Furthermore, an algorithm is developed to address decision-making problems based on QPNFMs. An illustrative example is provided to demonstrate the effectiveness of the proposed method.
Pseudo Functions In N-Cylindrical Fuzzy Neutrosophic Topological Spaces, Basker P
Pseudo Functions In N-Cylindrical Fuzzy Neutrosophic Topological Spaces, Basker P
Neutrosophic Sets and Systems
An interpretations supplied the study investigators the current research investigation is presented coupled with an exploration subsequent to trends to whatever individuals have provided. Let’s start through a beginning to defined a new set in a space �������� called an ��������̿ ≀ incorporates the ideas of closed and open sets and examine the map of a function Δ from ��������1 to � �������2 has been stated to be ������~������(��̿)-OP, ������~������(��̿)-CL and decisively ��������̿-�������� and offer an understanding of the achieved outcomes by introducing the notion of the spaces in a � �������������’�� is referred to as ��������̿��0-space, ��������̿��1-space and ��������̿��2-space. …
Pentapartitioned Neutrosophic Soft Set With Interval Membership, Mithun Datta, Kalyani Debnath, Surapati Pramanik
Pentapartitioned Neutrosophic Soft Set With Interval Membership, Mithun Datta, Kalyani Debnath, Surapati Pramanik
Neutrosophic Sets and Systems
In this article, the concept of Interval valued pentapartitioned neutrosophic soft set (IVPNSS) has been introduced, which is a hybrid method by combining Pentapartitioned Neutrosophic set and Interval valued soft set. IVPNSS is an ordered pair of a function and an interval valued pentapartitioned neutrosophic set, which is the domain of the function and co-domain is the assembly of all the interval valued pentapartitioned neutrosophic sets (IVPNS). Additionally, some basic operations on IVPNSSs have been defined which plays an imperative role in decision making processes. Some useful properties of IVPNSS are also presented in the article. In the end, the …
On Quick Switching System With Different Sampling Plans Using Fuzzy Neutrosophic Weighted Poisson Distribution, Vennila J, Basker P, Kripa Josten, Prakash V.S
On Quick Switching System With Different Sampling Plans Using Fuzzy Neutrosophic Weighted Poisson Distribution, Vennila J, Basker P, Kripa Josten, Prakash V.S
Neutrosophic Sets and Systems
The present study provides a new sampling inspection approach to costly and destructive testing that involves the concept of neutrosophic and fuzzy logic in a quick switching system with a normal SSP and a tightened DSP as a reference plan using weighted poisson distribution as a baseline. It includes the neutrosophic and fuzzy weighted poisson distribution associations of this approach, along with normal and tightened acceptance numbers using OC functions, and OC curves using R programming. It strongly focuses on a new sampling approach that uses fuzzy logic for effectively dealing with inconsistent and uncertain terms. And Also, these sets …
Research On Mobile Advertising Users' Propagation Ability Evaluation Based On The Neutrosophic Cubic Number Multiple-Attribute Decision-Making, Minming Weng, Ying Long
Research On Mobile Advertising Users' Propagation Ability Evaluation Based On The Neutrosophic Cubic Number Multiple-Attribute Decision-Making, Minming Weng, Ying Long
Neutrosophic Sets and Systems
The evaluation of mobile advertising users' propagation ability assesses how effectively users can share or spread advertisements within their networks. It involves analyzing factors such as user engagement, social influence, sharing frequency, and network reach. By understanding these metrics, advertisers can identify highly influential users who can amplify campaign impact. This process helps optimize targeting strategies, improve ad performance, and maximize return on investment by leveraging users with strong propagation potential in mobile advertising ecosystems. The mobile advertising users' propagation ability evaluation is multiple-attribute decision-making (MADM). In recent years, the MOORA approach has been widely utilized to address multi-attribute decision-making …
A Neutrosophic Approach To Robust Web Security: Mitigating Xss Attacks, A. A. Salama, El-Said F. Aboelfotoh, Hazem M. El-Bakry, Huda E. Khalid, Ahmed K. Essa, Ramiz Sabbagh, Doaa S. El-Morshedy
A Neutrosophic Approach To Robust Web Security: Mitigating Xss Attacks, A. A. Salama, El-Said F. Aboelfotoh, Hazem M. El-Bakry, Huda E. Khalid, Ahmed K. Essa, Ramiz Sabbagh, Doaa S. El-Morshedy
Neutrosophic Sets and Systems
Cross-Site Scripting (XSS) is one of the most grievous vulnerabilities-a pitfall through which web applications are affected. These types of attacks are complex, and the available threat landscape is always changing, making it hard for conventional security tools to effectively detect or prevent these types of attacks. We present here an approach that detects and prevents XSS attacks on Web pages. Since Neutrosophism works with different kinds of data, it aims at the validity degree of the attack. This way the system understands the different types of attacks and allows the system to act more effectively. Our system combines (1) …
A Neutrosophic Superiority And Inferiority Ranking-Based Model For Resource Allocation Efficiency In University Sports Management, Pute Lan, Jiaqi Guo, Changshun Bai
A Neutrosophic Superiority And Inferiority Ranking-Based Model For Resource Allocation Efficiency In University Sports Management, Pute Lan, Jiaqi Guo, Changshun Bai
Neutrosophic Sets and Systems
The evaluation of resource allocation efficiency in university recreational sports aims to analyze and assess the effectiveness of how universities allocate facilities, equipment, and personnel for recreational sports. By collecting relevant data and applying scientific methods, it evaluates the usage and impact of resources to optimize allocation and enhance student participation and satisfaction. This not only helps improve campus sports culture but also promotes students' physical and mental health and overall development. The resource allocation efficiency evaluation in university recreational sports is a MAGDM problem. Recently, the Superiority and Inferiority Ranking (SIR) method has been employed to cope with MAGDM …
A Neutrosophic Logic Ruled Based Machine Learning Approaches For Chronic Kidney Disease Risk Prediction, Bhabani S.Mohanty, Krishna Priya R, Liya Alias, R. Vijaya Kumar Reddy, Prasanta Kumar Raut, Samson Isaac, Manibharathi D, C. Saravanakumar, Nihar Ranjan Panda, Said Broumi
A Neutrosophic Logic Ruled Based Machine Learning Approaches For Chronic Kidney Disease Risk Prediction, Bhabani S.Mohanty, Krishna Priya R, Liya Alias, R. Vijaya Kumar Reddy, Prasanta Kumar Raut, Samson Isaac, Manibharathi D, C. Saravanakumar, Nihar Ranjan Panda, Said Broumi
Neutrosophic Sets and Systems
Chronic kidney disease (CKD) represents a significant global health challenge in society, and early detection of risk is essential for on-time treatment and intervention. This research suggests a novel machine-learning technique to create a reliable and accurate CKD risk prediction model by combining neutrosophic logic with various classification algorithms. We use neutrosophic logic to address the inherent imprecision and uncertainty in medical data, resulting in a more realistic portrayal of real-world scenarios. We measure the effectiveness of the proposed neutrosophic logic-based models using various metrics, including precision, specificity, and sensitivity. The results show that the neutrosophic logic method is better …
Neutrosophic Dus Exponential Distribution, Megha. C.M, Divya. P.R, Sajesh.T. A
Neutrosophic Dus Exponential Distribution, Megha. C.M, Divya. P.R, Sajesh.T. A
Neutrosophic Sets and Systems
The exponential distribution is a widely used lifetime model with applications spanning numerous disciplines. The DUS transformation extends the applicability of the exponential distribution by improving its flexibility for diverse real-world scenarios. This study proposes the Neutrosophic DUS Exponential Distribution (NDUS-ED), an extension of the DUS Exponential Distribution, designed to effectively address and quantify uncertainty, inconsistency, and indeterminacy in data. Key statistical properties of NDUS-ED, including quantiles, moments, moment-generating functions, and order statistics, are derived under neutrosophic conditions. The performance of estimated parameters is evaluated through simulation, revealing superior results with larger sample sizes, particularly in managing imprecise and indeterminate …
Neutrosophic Dynamic Network Dea: Efficient Allocation Of Carryover Variables In Organizational Processes, Maryam Heydar, Hadi Bagherzadeh Valami
Neutrosophic Dynamic Network Dea: Efficient Allocation Of Carryover Variables In Organizational Processes, Maryam Heydar, Hadi Bagherzadeh Valami
Neutrosophic Sets and Systems
Carryover activities in dynamic DEA refer to the persistence of resources, inputs, or outputs across periods in organizational processes, reflecting the impact of past decisions on current and future performance. In practical applications, some carryover variables can extend beyond the immediate next period, and their allocation is discretionary, controlled by the Decision-Maker (DM). This paper introduces a novel dynamic network DEA (DNDEA) model aimed at optimizing the allocation of these carryovers and identifying inefficiencies within a network system across multiple evaluation periods. Recognizing the uncertainties present in real-world data, we incorporate neutrosophic sets to effectively process uncertain information, which adds …
Numerical And Semi Analytical Scheme For Developing A Solution To Falkner Skan Equation In Neutrosophic Environments, B. Amudha, M. Shanmugapriya, R. Sundareswaran, Said Broumi
Numerical And Semi Analytical Scheme For Developing A Solution To Falkner Skan Equation In Neutrosophic Environments, B. Amudha, M. Shanmugapriya, R. Sundareswaran, Said Broumi
Neutrosophic Sets and Systems
This study presents a detailed analysis of the Falkner-Skan equation under uncertainty by employing neutrosophic numbers to represent the uncertainty in no slip conditions and the parameter ��̃. By applying appropriate similarity transformation, partial differential equation (PDE) are converted into ordinary differential equation (ODE). Both the Shooting Method and the Homotopy Perturbation Method (HPM) are utilized to solve ODE’s. These ODE’s are then transmuted into neutrosophic differential equation (NDE) by employing (Α ̃,Β, ̃ Γ ̃)������ approach. The parameter ��̃ and no slip conditions are taken as triangular and trapezoidal neutrosophic numbers. The results are presented graphically to illustrate the …
The Pamssem Approach For Multi-Attribute Group Decision-Making Using Single-Valued Neutrosophic Sets: Applications To Evaluating The Effectiveness Of College Students' Psychological Education, Xiaolan Liang
Neutrosophic Sets and Systems
The evaluation of the effectiveness of college students' psychological education involves using scientific approaches and tools to assess the actual impact of psychological education on improving students' mental health, fostering personality development, and enhancing psychological adjustment abilities. The evaluation covers aspects such as students' mental health status, the achievement of educational goals, the effectiveness of interventions, and student satisfaction. Through such evaluations, psychological education programs can be optimized to improve quality, help students better cope with psychological challenges in academics, life, and relationships, and promote their holistic development and healthy growth. The results also provide a scientific basis for continuous …
Statistical Analysis Of Foreign Investment Using Neutrosophic Interval Based Approach, Jamil Afzal, Naim Mathlouthi, Mohamed Saer Rahal, Chen Yongmei, Aftab Haider, Muhammad Adeel Afzal
Statistical Analysis Of Foreign Investment Using Neutrosophic Interval Based Approach, Jamil Afzal, Naim Mathlouthi, Mohamed Saer Rahal, Chen Yongmei, Aftab Haider, Muhammad Adeel Afzal
Neutrosophic Sets and Systems
Pakistan, a nation at the crossroads of South Asia, has been actively striving to attract foreign investment to boost its economic growth and development. As a country rich in natural resources, with a young and vibrant workforce, and a strategic geographic location, Pakistan offers significant opportunities for foreign investors seeking to explore new markets and tap into its potential. The foreign investment policies in Pakistan have undergone substantial reforms over the years to create a more investor-friendly environment. These policies are designed to facilitate and incentivize foreign direct investment while ensuring the protection of investors' rights and contributing to the …
The First Resolution Of The Travelling Salesman Problem Under Neutrosophic Octagonal Fuzzy Environment, Mariem Miledia, Taicir Loukilb, Souhail Dhouiba
The First Resolution Of The Travelling Salesman Problem Under Neutrosophic Octagonal Fuzzy Environment, Mariem Miledia, Taicir Loukilb, Souhail Dhouiba
Neutrosophic Sets and Systems
The Travelling Salesman Problem (TSP) is a challenging combinatorial optimization problem classified as NP-hard. Its objective is to identify the shortest cycle that visits every city precisely once before returning to the initial city. To the best of our knowledge there is no one in the literature who solved the TSP under the neutrosophic octagonal fuzzy environment. That’s why, in this paper the novel heuristic namely Dhouib-Matrix-TSP1 (DM-TSP1) is exploited to optimize the TSP under the neutrosophic octagonal fuzzy domain. So, this research work represents the first application of DM-TSP1 on this mentioned environment. A defuzzification function is used to …
Neutrosophic Soft Sets In One And Two-Dimensions Using Iteration Method, M.N. Bharathi, G. Jayalalitha
Neutrosophic Soft Sets In One And Two-Dimensions Using Iteration Method, M.N. Bharathi, G. Jayalalitha
Neutrosophic Sets and Systems
This paper introduces a different perspective of Neutrosophic Fractals and Neutrosophic Soft Fractals, merging the principles of Neutrosophic Logic, Soft set theory, and Fractal Geometry to address indeterminacy in complex, self-similar structures specifically the Von Koch curve and the Sierpinski triangle. It sightsees the complex qualities of Neutrosophic soft sets by incorporating attributes of falsification, indefiniteness, and truth into union and intersection operations. The research elucidates the interplay between Neutrosophic Logic and fractal geometry, leading to more precise modeling of complex systems. Proving theorems and providing examples examine the intricate interactions between membership characteristics in these fractal structures, demonstrating self-similarity. …
Some Harmonic Aggregation Operators For N-Valued Neutrosophic Trapezoidal Numbers And Their Application To Multi-Criteria Decision-Making, İrfan Deli̇, Vakkas Uluçay
Some Harmonic Aggregation Operators For N-Valued Neutrosophic Trapezoidal Numbers And Their Application To Multi-Criteria Decision-Making, İrfan Deli̇, Vakkas Uluçay
Neutrosophic Sets and Systems
As an extension of the both trapezoidal fuzzy numbers and neutrosophic trapezoidal numbers, the N-valued neutrosophic trapezoidal numbers, which are special neutrosophic multi-sets on subset of real numbers. Harmonic mean is a conservative average, which is widely used to aggregate central tendency data. In the existing literature, the harmonic mean is generally considered as a fusion technique of numerical data information. In this paper, we investigate a method for the situations in which the input data are expressed in neutrosophic values. Therefore, we propose two aggregations are called harmonic aggregation operators and weighted harmonic mean operators on N-valued neutrosophic trapezoidal …
Innovative Assessment Of Dance Teaching Effectiveness Using The Electre Approach And Neutrosophic Hypersoft Sets For Comprehensive Performance Analysis, Pei Yao
Neutrosophic Sets and Systems
The evaluation of dance teaching quality in universities is a process of assessing the effectiveness of dance courses through multiple dimensions. The focus is on examining students' improvement in dance skills, artistic expression, mastery of theoretical knowledge, teaching methods, and the learning environment. By using scientific evaluation methods, such as multi attribute decision-making models, the quality of teaching is quantified and optimized, promoting students' overall development and the improvement of teaching practices. The evaluation of dance teaching quality is often considered a multiple attribute group decision-making (MAGDM) problem. In this paper, the ELECTRE method is proposed to address MAGDM using …
A Neutrosophic Approach To Solving First-Order Differential Equations: Applications To Heat Convection With Uncertain Initial Conditions, Said Broumi, M. Shanmugapriya, R. Sundareswaran
A Neutrosophic Approach To Solving First-Order Differential Equations: Applications To Heat Convection With Uncertain Initial Conditions, Said Broumi, M. Shanmugapriya, R. Sundareswaran
Neutrosophic Sets and Systems
This study explores the solution of first-order differential equations (����) using trapezoidal neutrosophic numbers (����������������������) as initial conditions. It examines various forms of ���������������������� based on the dependencies of truth (��), indeterminacy (��), and falsity (��). The application first order DE is illustrated through heat conduction problems in fluids. The temperature distribution ��1(��,��), � �2(��,��), ��1′(��, ��), ��1′′(��, ��), ��2 ′(��, ��) and ��2 ′′(��, ��) are analyzed through tables and graphs. A solution procedure for the system of first-order ODEs is developed and demonstrated with numerical examples.