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Risk Assessment Of Municipal Water Supply And Drainage Project Costs Using Neutrosophic Numbers, Huihui Gao, Kun Qian
Risk Assessment Of Municipal Water Supply And Drainage Project Costs Using Neutrosophic Numbers, Huihui Gao, Kun Qian
Neutrosophic Sets and Systems
Risk assessment of municipal water supply and drainage project costs is a multi-criteria decision making (MCDM) problem. Water supply and drainage have various conflict criteria. Two MCDM methods are used in this study such as SIWEC and MACONT. The SIWEC method is used to compute the criteria weights and the MACONT method is used to rank the alternatives. These methods are used under the trapezoidal fuzzy neutrosophic sets (TFNSs) to deal with uncertainty and vague information. Eight criteria and eleven alternatives ate used to evaluate the MCDM problem. The sensitivity analysis is conducted to show the stability of the ranks. …
Edge Connectivity Of A Neutrosophic Graph, Aparna Tripathy, Amaresh Chandra Panada, Siva Prasad Behera, Bhabani S. Mohanty
Edge Connectivity Of A Neutrosophic Graph, Aparna Tripathy, Amaresh Chandra Panada, Siva Prasad Behera, Bhabani S. Mohanty
Neutrosophic Sets and Systems
Neutosophic graphs are an extension of fuzzy and intuitionistic fuzzy graphs by including the uncertainty, vagueness, and indeterminacy that are normal in the real world. This paper looks into the edge connectivity of a neutrosophic graph, which is a basic parameter that shows how strong and fault-tolerant networks are that are modelled by these graphs. Edge connectivity, which is the smallest number of edges that need to be taken away from a graph to make it trivial or disconnected, is a key concept in figuring out how strong and resilient networks are in many situations. This paper also addresses computational …
Neutrosophic Augmented Lagrange Multipliers Method Nonlinear Programming Problems Constrained By Inequalities, Maissam Jdid, Florentin Smarandache, Takaaki Fujita
Neutrosophic Augmented Lagrange Multipliers Method Nonlinear Programming Problems Constrained By Inequalities, Maissam Jdid, Florentin Smarandache, Takaaki Fujita
Neutrosophic Sets and Systems
Operations research uses scientific methods that take the language of mathematics as a basis and uses the computer, without which it would not be possible to achieve numerical solutions to the problems raised. It is concerned with applying scientific methods to complex issues in the management and direction of large systems in various fields and private and governmental businesses in peace and war in politics, management, economics, planning and implementation and in all aspects of life. In issues that require sound solutions, when solutions are numerous and options are multiple, we need a decision based on sound scientific foundations that …
The Double Integrals Of 2- Refined Neutrosophic Functions And Its Applications, Yaser Ahmad Alhasan, Asma Mohammed Alshallali, Qusay Alhassan
The Double Integrals Of 2- Refined Neutrosophic Functions And Its Applications, Yaser Ahmad Alhasan, Asma Mohammed Alshallali, Qusay Alhassan
Neutrosophic Sets and Systems
The importance of this paper comes from the fact that it presented a study of the double integrals of 2- refined neutrosophic functions and its applications, where we presented several theories for the concept of the double integrals of 2- refined neutrosophic functions over a general region and over a rectangle, including the 2- refined neutrosophic Fubini’s theorem. In addition to discussing applications of double integrals of 2- refined neutrosophic functions to calculate the area of region. Also, We took into account the definition of the positive 2- refined neutrosophic number, and the n-refined AH-Isometry.
Complex Fermatean Neutrosophic Sets And Their Applications In Decision Making, Vijaya V, Said Broumi, Manikandan H
Complex Fermatean Neutrosophic Sets And Their Applications In Decision Making, Vijaya V, Said Broumi, Manikandan H
Neutrosophic Sets and Systems
Complex Neutrosophic Sets have emerged as a groundbreaking paradigm for handling uncertainty in complex-valued variables. By defining truth, indeterminacy, and falsity membership functions within the unit circle of the complex plane, this innovative framework provides a robust foundation for uncertainty management. This paper introduces a novel hesitance distance measure for Complex Fermatean Neutrosophic Sets, enabling the quantification of uncertainty in complex decision-making scenarios. The proposed distance measure is applied to solve a Multi-Criteria Decision Making Problem, demonstrating its effectiveness in handling uncertainty and ambiguity. This research has far-reaching implications for various fields, including decision theory, artificial intelligence, and operations research. …
On The Category Of Neutrosophic Submodules, Saeid Jafari, Ernesto Lax, Neelamegarajan Rajesh, Florentin Smarandache
On The Category Of Neutrosophic Submodules, Saeid Jafari, Ernesto Lax, Neelamegarajan Rajesh, Florentin Smarandache
Neutrosophic Sets and Systems
The purpose of this paper is to introduce the important and useful notions of inverse and direct systems in the category of neutrosophic modules and present some of fundamental properties of them.
A Novel Plithogenic Mcdm Framework For Credit Evaluation Of Bidding And Tendering In Construction Projects With Contradictions, Maohua Yang, Jiajia Yu, Yuhe Wang
A Novel Plithogenic Mcdm Framework For Credit Evaluation Of Bidding And Tendering In Construction Projects With Contradictions, Maohua Yang, Jiajia Yu, Yuhe Wang
Neutrosophic Sets and Systems
This paper introduces a novel approach to decision-making by integrating Plithogenic modeling methodology with multi-criteria decision-making (MCDM) techniques. Traditional Plithogenic decision making frameworks primarily rely on degrees of appurtenance as their foundation. However, this study presents a new paradigm that leverages degrees of contradiction to rank alternatives, offering a unique and innovative perspective compared to conventional methods. The research employs the PROMETHEE method to evaluate and rank alternatives, with the assessment carried out by four experienced experts using Plithogenic numbers. A total of ten criteria and five alternatives were analyzed in this study. The findings highlight that the Financial Stability …
Neutrosophic Mean Estimators Using Extreme Indeterminate Observations In Sample Surveys, Vinay Kumar Yadav, Deepak Majhi, Alia A. Alkhathami, Shakti Prasad
Neutrosophic Mean Estimators Using Extreme Indeterminate Observations In Sample Surveys, Vinay Kumar Yadav, Deepak Majhi, Alia A. Alkhathami, Shakti Prasad
Neutrosophic Sets and Systems
In classical statistics, research typically relies on precise data to estimate the population mean, especially when auxiliary information is available. However, in the presence of outliers, conventional statistical approaches that depend on accurate data and auxiliary information encounter challenges. The primary objective is to attain the most accurate population mean estimates while minimizing the mean square error. Neutrosophic statistics, a more attractive framework than classical statistics, deals with data characterized by imprecision and uncertainty. In this current article, we adapt S¨ arndal’s strategy and introduce neutrosophic mean estimators, applying them to meteorological data, specifically stratified dew point data. In these …
Fermatean Neutrosophic Fuzzy Graphs: A Study On The Winner Index With Enhancing Election Analysis, Wadei Fares Al-Omeri, Kaviyarasu M, M. Rajeshwari
Fermatean Neutrosophic Fuzzy Graphs: A Study On The Winner Index With Enhancing Election Analysis, Wadei Fares Al-Omeri, Kaviyarasu M, M. Rajeshwari
Neutrosophic Sets and Systems
In this article, we discuss the fermatean neutrosophic graph of Wiener index, which is an essential topological index formed according to geodesical distance of vertices. The Wiener index is an important factor to describe the structure of a graph and we de ned it in relation to fermatean neutrosophic graphs and computed it for some speci c fermatean neutrosophic graph structures including complete fermatean neutrosophic graphs, cycles and trees. Subsequently, the Wiener index is compared with the connectivity index, a core-degree based parameter, using a sequence of theorems. As an application the study responds to the di culties in election …
Superhypersoft Framework For College English Blended Teaching Quality Evaluation In The New Era: Addressing Uncertainty And Complexity, Dahai Zhang
Neutrosophic Sets and Systems
A Single-Valued Neutrosophic Set (SVNS) is a powerful tool for representing uncertainty, ambiguity, and incomplete or inconsistent information in real-world scenarios. This approach is particularly effective for handling uncertain measurements and data. Building on the concept of fuzzy set entropy, the SVN-entropy method has been developed to support multi-criteria decision-making (MCDM) processes. In this study, SVN-entropy is combined with the SuperHyperSoft (HSS) framework—an extension of HyperSoft sets— to evaluate different criteria and sub-criteria with varying values. The proposed method uses entropy to calculate criteria weights, which are then applied to assess the quality of College English Blended Teaching in the …
Innovative Efficiency Measurement Using Stackelberg Games And Neutrosophic Numbers, Ali Asghar Tatlari, Bijan Rahmani Perchkolaei, Farhad Hosseinzadeh Lotfi
Innovative Efficiency Measurement Using Stackelberg Games And Neutrosophic Numbers, Ali Asghar Tatlari, Bijan Rahmani Perchkolaei, Farhad Hosseinzadeh Lotfi
Neutrosophic Sets and Systems
This paper addresses the challenge of measuring efficiency in systems with two components using Stackelberg game theory and neutrosophic numbers to handle data uncertainty. Unlike traditional Data Envelopment Analysis (DEA) models that treat Decision Making Units (DMUs) as black boxes, we propose a new neutrosophic Network DEA (NDEA) model to compute efficiency scores for each division. By applying Stackelberg game theory, we break down the system's efficiency scores into sub-system efficiencies, providing a more detailed assessment of performance. Our proposed model represents a significant contribution to the literature by developing a two-stage Network Slack Based Measure (NSBM) model. This model …
Finite-Precision Stabilization For Neutrosophic Linear Systems Using A Descriptor Model Approach, Rongyao Ling, Songquan Shi, Wenhua Cui, Yiming Fang
Finite-Precision Stabilization For Neutrosophic Linear Systems Using A Descriptor Model Approach, Rongyao Ling, Songquan Shi, Wenhua Cui, Yiming Fang
Neutrosophic Sets and Systems
This paper focuses on the stabilization problem of neutrosophic linear systems using finite-precision digital controllers. The main challenge lies in decoupling and processing the indeterminacies inherent in such systems. To tackle this, a standardization method that unifies the bounds of parameter indeterminacies is f irst proposed. Additionally, a fixed-point representation scheme is introduced to define both the precision and representation of the controller parameters. To handle multiple uncertainties in the system, a descriptor model approach is introduced, which transforms the closed-loop system into a singular system, allowing for more effective decoupling of uncertainties. Using singular system theory, a novel solvability …
Quality Evaluation In Hospital Operations Management Using Multi-Criteria Decision-Making With Plithogenic Approach To Address Uncertainty And Enhance Decision-Making Processes, Meng Zhang, Yafang Li
Quality Evaluation In Hospital Operations Management Using Multi-Criteria Decision-Making With Plithogenic Approach To Address Uncertainty And Enhance Decision-Making Processes, Meng Zhang, Yafang Li
Neutrosophic Sets and Systems
Coordination of medical facilities' operations depends on operations management. Hospitals must function effectively to meet the medical demands of their patients, who get critical and emergency treatment. The decision support system for Quality Evaluation in Hospital Operations Management is created in this study. Plithogenic sets and multicriteria decision-making (MCDM) form the foundation of this decision assistance system. The study presents a novel approach to evaluating and rating Hospital Operations Management. Alternatives are ranked using the plithogenic reference-based normalization alternative ranking (RBNAR) technique. Thus, the algorithm for plithogenic-RBNAR is constructed and presented. An analysis of Hospital Operations Management is conducted using …
A Neutrosophic Perspective On Enhancing Quality Virtual Simulation Experimental Education Of Integrated Circuits: A New Approach, Lihua Dai, Ben Wang, Xuemin Cheng, Junyi Xu, Hao Wang
A Neutrosophic Perspective On Enhancing Quality Virtual Simulation Experimental Education Of Integrated Circuits: A New Approach, Lihua Dai, Ben Wang, Xuemin Cheng, Junyi Xu, Hao Wang
Neutrosophic Sets and Systems
With rapid advancements in technology-related industries, integrated circuits come to be the core of modern electronics (IC). This in turn highlights the indispensable need to figure out advanced techniques for delivering high-quality experimental education in integrated circuits (IC). To that end, this work presents a neutrosophic framework to enhance the quality of education based on the selection of simulation-based tools that best improve the experimental skills of students. Given the inherent challenges of uncertainty, ambiguity, and subjectivity of virtual simulation, we propose to incorporate Interval-Valued Neutrosophic Sets (IVNS) to model uncertainty inherent to virtual simulation scenarios and adapt to encode …
Trigonometric Interval-Valued Neutrosophic Set Setting With Reciprocal Fractional Function Using A Finite Weighted Method, Murugan Palanikumar, Nasreen Kausar, Tonguc Cagin
Trigonometric Interval-Valued Neutrosophic Set Setting With Reciprocal Fractional Function Using A Finite Weighted Method, Murugan Palanikumar, Nasreen Kausar, Tonguc Cagin
Neutrosophic Sets and Systems
This paper presents a new method for creating a trigonometric interval-valued neutrosophic set via reciprocal fractional function. This article will cover the concepts of geometric, generalized weighted averaging, trigonometric interval-valued neutrosophic reciprocal fractional weighted averaging, and generalized weighted geometric. We used an aggregating model to get the weighted average and geometric. To further examine a number of sets with important qualities, the algebraic techniques listed below will be applied.
A Multi-Criteria Decision-Making Approach With Hyper Soft Set To Teaching Quality Assessment In English Language And Literature, Yuhua He
Neutrosophic Sets and Systems
The training ground for professional English speakers is the English departments of colleges and universities. Economic development and international interactions are impacted by the quality of their instruction. This study created an evaluation method with for evaluating the quality of English language and literature using questionnaire surveys, interviews, and a review of the literature. The multi-criteria decision making (MCDM) method is used in this study to evaluate the English langue and literature. Neutrosophic set is integrated with the MCDM method to deal with uncertainty and value information. This study uses the CRITIC method to compute the criteria weights. The CRITIC …
Non-Destructive Detection Of Fillet Fish Quality Using Mq135 Gas Sensor And Neutrosophic Logic-Enhanced System, M. Y. Shams, M. R. Darwesh, Roheet Bhatnagar, N. S. A. Al-Sattary, A. A. Salama, M. S. Ghoname
Non-Destructive Detection Of Fillet Fish Quality Using Mq135 Gas Sensor And Neutrosophic Logic-Enhanced System, M. Y. Shams, M. R. Darwesh, Roheet Bhatnagar, N. S. A. Al-Sattary, A. A. Salama, M. S. Ghoname
Neutrosophic Sets and Systems
This paper demonstrates the feasibility of using an electronic nose to assess fish quality by analyzing air quality and examining volatile organic compounds (VOCs) alongside physical variables, with pH, protein content, and VOCs serving as chemical reference points. Artificial intelligence algorithms were employed to predict quality and calculate regression coefficients. Using the reference neural network algorithm based on chemical and physical compounds, regression coefficients (R values) achieved were 0.99, 0.98, and 0.97, respectively. Additionally, ANFIS (Adaptive Neuro-Fuzzy Inference System) produced R values of 0.99, 0.85, and 0.98. Both fuzzy logic and ANFIS proved effective for predicting fish quality. Image processing …
The Integral Of 2- Refined Rational Neutrosophic Functions, Iqbal Ahmed Musa, Yaser Ahmad Alhasan
The Integral Of 2- Refined Rational Neutrosophic Functions, Iqbal Ahmed Musa, Yaser Ahmad Alhasan
Neutrosophic Sets and Systems
The main objective of this paper is to study the integral of 2- refined rational neutrosophic functions, by providing direct rules that make it easy for us to find the integral of 2- refined rational neutrosophic functions, where the division of refined neutrosophic number was used to find the integral of 2- refined rational neutrosophic functions. In addition to proving these rules and providing a set of examples that illustrate these ideas.
Neutrosophic Sets And Systems, Vol. 80,2025, Florentin Smarandache, Mohamed Abdel-Basset, Maikel. Leyva Vazquez
Neutrosophic Sets And Systems, Vol. 80,2025, Florentin Smarandache, Mohamed Abdel-Basset, Maikel. Leyva Vazquez
Neutrosophic Sets and Systems
No abstract provided.
Neutrosophic Formulation Of The Quadratic Transmuted Generalized Exponential Distribution: Properties And Applications, Kumarapandiyan Gnanasegaran, Benitta Susan Aniyan, Abdul Kani Jabarali
Neutrosophic Formulation Of The Quadratic Transmuted Generalized Exponential Distribution: Properties And Applications, Kumarapandiyan Gnanasegaran, Benitta Susan Aniyan, Abdul Kani Jabarali
Neutrosophic Sets and Systems
The Quadratic Transmuted Generalized Exponential Distribution (QTGED) enhances the general ized exponential distribution, making it a significant development for handling complex decision-making con texts. Traditional statistical distributions often focus on representing degrees of truth or membership in fuzzy sets, yet they struggle to capture situations involving incomplete, vague, or contradictory data accurately. This study introduces the Neutrosophic Quadratic Transmuted Generalized Exponential Distribution (NQTGED), specifically designed to address indeterminacy and transmuted data. Neutrosophic theory is essential here, as it overcomes the limitations of classical and fuzzy set theories by effectively managing uncertainty, indetermi nacy, and inconsistency in data. By simultaneously representing …
A Multi-Criteria Decision-Making Approach For Teaching Quality Evaluation In University Music Programs Using Plithogenic Sets And Weighted Decision Models, Mingjiao Liu, Hongdan Wang
A Multi-Criteria Decision-Making Approach For Teaching Quality Evaluation In University Music Programs Using Plithogenic Sets And Weighted Decision Models, Mingjiao Liu, Hongdan Wang
Neutrosophic Sets and Systems
Chinese colleges and universities have been studying and implementing quality monitoring systems for music art instruction as a key teaching management project. How to fairly and impartially evaluate the teaching skills of professors of art and music is a crucial problem in college and university administration. Evaluation of university music program have various criteria affecting the decision-making process. So, we used the multi-criteria decision-making methodology (MCDM) to deal with these criteria and select best program. We used the Plithogenic sets with the MCDM methodology to deal with uncertainty information. We used the operators of Plithogenic to combine the Plithogenic numbers. …
Hypersoft Semi-Connected Spaces, Florentin Smarandache, V. Inthumathi, M. Amsaveni
Hypersoft Semi-Connected Spaces, Florentin Smarandache, V. Inthumathi, M. Amsaveni
Neutrosophic Sets and Systems
Neutrosophic sets are an important field of topology that deals with inconsistent, indeterminate, and uncertain circumstances in real life. Hypersoft sets have grown in popularity due to their ability to represent data as a collection of trait-valued disjoint sets that combine various attributes. Motivated by this concept, we introduce a new hyper-approach known as hypersoft semi-separated, which employs hypersoft semi-open sets [HSO]. This article presents several local properties of HSO sets, such as hypersoft semi-neighborhoods of hypersoft points and hypersoft semi-first countable spaces. Additionally, definitions of hypersoft semi-connected [HSCO] spaces, hypersoft locally semi-connected [HLSCO] spaces, and associated properties are provided. …
Quantifying Teaching Quality In University Chemistry Using Bipolar Neutrosophic Decision-Making Framework, Lina Sun, Feng Yi
Quantifying Teaching Quality In University Chemistry Using Bipolar Neutrosophic Decision-Making Framework, Lina Sun, Feng Yi
Neutrosophic Sets and Systems
There is no doubt that the teaching of university Chemistry plays a critical role in enriching the students’ knowledge with analytical and problem-solving skills that are necessary for achieving academic and professional progress in many fields. However, the process of evaluating the quality of Chemistry teaching remains a challenging task because it usually relies on subjective judgments, diversity of criteria, and variability in human perception, leading to inherent uncertainty. Bipolar Neutrosophic Sets (NS) provide appropriate representation for uncertainty setting ls with three levels of membership, each with positive and negative degrees. Inspired by that, this study contributes to the body …
Topsis Approach For Madm Based On Quadripartitioned Single Valued Neutrosophic Refined Hamacher Aggregation Operations, Arokia Pratheesha S V, Annapoorna M S, Radha R, Parul Arora, Ritika Wason, Divya Baliga B
Topsis Approach For Madm Based On Quadripartitioned Single Valued Neutrosophic Refined Hamacher Aggregation Operations, Arokia Pratheesha S V, Annapoorna M S, Radha R, Parul Arora, Ritika Wason, Divya Baliga B
Neutrosophic Sets and Systems
Hamacher operators are extensively utilized in multicriteria attribute group decision-making (MAGDM) problems due to their remarkable adaptability provided by an adjustable parameter. Here, the Hamacher T-norm and T-conorm operations for two QSVNRNs are formulated.Using these Hamacher op erations, we present the quadripartitioned single-valued neutrosophic refined Hamacher weighted averaging (QSVNRHWA) operators within the QSVNR framework and analyze their properties.Finally, we explore a TOPSIS-based approach for multi-attribute decision-making problems that employs the QSVNRHWA opera tors, demonstrating its application in evaluating practical scenarios related to converting solid waste into energy.
Different Operators Via Weighted Averaging And Geometric Approach Using Trigonometric Neutrosophic Interval-Valued Set And Its Extension, Raed Hatamleh, Ahmed Salem Heilat, M. Palanikumar, Abdallah Al-Husban
Different Operators Via Weighted Averaging And Geometric Approach Using Trigonometric Neutrosophic Interval-Valued Set And Its Extension, Raed Hatamleh, Ahmed Salem Heilat, M. Palanikumar, Abdallah Al-Husban
Neutrosophic Sets and Systems
This work presents a new method for generating tangent trigonometric neutrosophic interval-valued sets. This article will cover tangent trigonometric neutrosophic interval-valued weighted averaging, geometric, generalized notions. We used an aggregating model to get the weighted average and geometric. Several sets with substantial characteristics will be further studied using the algebraic techniques
Robust Seismic Performance Evaluation Of Super High-Rise Concrete Structures Using Mcdm And Plithogenic-Ram Approach, Kaifeng Xing, Xiaoping Wang, Peng Chen
Robust Seismic Performance Evaluation Of Super High-Rise Concrete Structures Using Mcdm And Plithogenic-Ram Approach, Kaifeng Xing, Xiaoping Wang, Peng Chen
Neutrosophic Sets and Systems
More reinforced concrete supertall and megatall high-rise structures are being built due to the growing global demand for high-rise buildings, recent advancements in concrete technology, and improvements in construction techniques. When using concrete in these structures, additional care must be taken. Evaluating Super High-Rise Concrete Structures using various criteria is a multi-criteria decision-making (MCDM) challenge. We propose an MCDM method with a set of criteria and alternatives. The Root Assessment Method (RAM) is applied in this study to rank the alternatives. The RAM method is integrated with plithogenic sets to handle uncertain information. Plithogenic operators are used to combine the …
Algebraic Properties Of Interval -Valued Quadri Partitioned Neutrosophic Fuzzy Matrices And Their Application In Multi-Criteria Decision- Making Problem, P. Tharini, C. Devi Shyamala Mary, P. Tharaniya, S. Prathap, S. Ramkumar, G. Dhanavel
Algebraic Properties Of Interval -Valued Quadri Partitioned Neutrosophic Fuzzy Matrices And Their Application In Multi-Criteria Decision- Making Problem, P. Tharini, C. Devi Shyamala Mary, P. Tharaniya, S. Prathap, S. Ramkumar, G. Dhanavel
Neutrosophic Sets and Systems
– In this study, we introduce two novel matrix concepts in the neutrosophic fuzzy domain: range-symmetric Interval-Valued Quadri Partitioned Neutrosophic Fuzzy Matrices and kernel symmetric Interval-Valued Quadri Partitioned Neutrosophic Fuzzy Matrices. These matrices are defined analogously to EP-matrices within the complex domain. Initially, we establish fundamental characterizations of range-symmetric matrices and then derive the necessary and sufficient conditions under which an Interval-Valued Quadri Partitioned Neutrosophic Fuzzy Matrices becomes kernel-symmetric . A detailed analysis follows to explore the relationship between range symmetric and kernel-symmetric Interval-Valued Quadri Partitioned Neutrosophic Fuzzy Matrices. Additionally, we introduce the concepts of Kernel and k-Kernel Symmetric Interval-Valued …
Distance Measure For Fermatean Neutrosophic Sets: A Comparative Framework For Qualitative Evaluation, S. Bhuvaneshwari, C. Antony Crispin Sweety, Broumi Said
Distance Measure For Fermatean Neutrosophic Sets: A Comparative Framework For Qualitative Evaluation, S. Bhuvaneshwari, C. Antony Crispin Sweety, Broumi Said
Neutrosophic Sets and Systems
This work introduces a novel distance measure specifically designed for Fermatean Neutrosophic sets (FNS), extending upon existing measures such as the intuitionistic fuzzy distance and single-valued Neutrosophy distance measures. The study proposes a Hypothetical Framework for Fermatean Neutrosophic Sets to evaluate minimum distances and compares six different distance measures. These measures are applied within the contexts of both Fermatean Neutrosophic Sets and Neutrosophic Sets. The primary objective is to identify the shortest distance, enabling precise and appropriate decision-making. The study highlights the importance of false membership in FNS, which alters the ranking of FNS and establishes the Fermatean Neutrosophic set …
Neutrosophic Non-Newtonian And Geometric Measures: A Consistent Analytical Framework, Amer Darweesh, Kamel Al-Khaled, Mohammed Shakhatreh, Mahmood Shareef Ajeel, Nermin Abo Hasan
Neutrosophic Non-Newtonian And Geometric Measures: A Consistent Analytical Framework, Amer Darweesh, Kamel Al-Khaled, Mohammed Shakhatreh, Mahmood Shareef Ajeel, Nermin Abo Hasan
Neutrosophic Sets and Systems
The neutrosophic measure is a generalization of the classical measure in situations when the space contains some indeterminacy. In this paper, we introduce the concept of the Neutrosophic Geometric Measure, we also provide some results, and examples related to the Neutrosophic Geometric Measure. A classical measure of the objects determinate component, a classical measure of its indeterminate part, and a further classical measure of the objects opposite determinate part are the three classical measures that make up the neutrosophic measure. To de ne the Neutrosophic Geometric Measure, we introduce a new measure on R+ and call it the geometric Lebesgue …
, Combine Knowledge And Similarity Measure To Solve Single Valued Neutrosophic Set Mcdm Problems, Nguyen Xuan Thao, Truong Thi Thuy Duong
, Combine Knowledge And Similarity Measure To Solve Single Valued Neutrosophic Set Mcdm Problems, Nguyen Xuan Thao, Truong Thi Thuy Duong
Neutrosophic Sets and Systems
The Neutrosophics set have been paid attention of researchers using in many fields in the practice. It is a useful tool to deal with those complex problems. In this paper, we first investigat the knowledge measures on the Single neutrosophic set. Then, we introduce a new similarity measure of SNS that overcomes the restriction of some already existing similarity measure cases. A proposed measure-based multi-criteria decision-making (MCDM) model was constructed. In this model the knowledge measure to determine the weight of each criterion and similarity measure to rank the alternatives. This model applied to solve the agricultural land selection. Finally, …