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An Approach To Multi-Attribute Decision-Making Based On Single-Valued Neutrosophic Hesitant Fuzzy Aczel-Alsina Aggregation Operator, Raiha Imran, Kifayat Ullah, Zeeshan Ali, Maria Akram Oct 2024

An Approach To Multi-Attribute Decision-Making Based On Single-Valued Neutrosophic Hesitant Fuzzy Aczel-Alsina Aggregation Operator, Raiha Imran, Kifayat Ullah, Zeeshan Ali, Maria Akram

Neutrosophic Systems with Applications

A single-valued Neutrosophic hesitant fuzzy set (SVNHFS) is a combination of a single-valued neutrosophic set (SVNS) and hesitant fuzzy set (HFS) that has been developed to address insufficient, unreliable, and vague environments in which each element has several possible options determined by the truthiness, indeterminacy and falsity value. By considering this, in this paper, we have proposed the Aczel-Alsina aggregation operator (AAAO) for SVNHFS, which is more flexible t-norm and t-conorm than the other and due to the flexible nature of parameters to solve Multi-Attribute decision making (MADM) problems. Further, the score function, accuracy function, and certainty function of SVNHFS …


Im4.0ef: Tele-Medical Realization Via Integrating Vague T2nss With Owcm-Ram Toward Intelligent Medical 4.0 Evaluator Framework, Alaa Salem, Mona Mohamed, Florentin Smarandache Oct 2024

Im4.0ef: Tele-Medical Realization Via Integrating Vague T2nss With Owcm-Ram Toward Intelligent Medical 4.0 Evaluator Framework, Alaa Salem, Mona Mohamed, Florentin Smarandache

Sustainable Machine Intelligence Journal

In the modern world, when nearly everyone considers the Internet to be indispensable, there is a constant desire to discover new applications for the technologies that are already in place. As well, recent research has found several synonyms for the adoption of information and communication technology. Industry 4.0, Industry 5.0, and modern technologies are some of these synonyms. Harnessing these technologies in important domains such as medical services and healthcare is vital. Wherein, the medical field has undergone changes, going from version 1.0 to version 4.0 currently. Medical 4.0 represents a significant advancement in medical practices and systems, leveraging cutting-edge …


Title: Questioning Attebery’S ‘Bullseye’: Interviews With Young Readers Of Fantasy May De-Center The Lord Of The Rings, Luke Shelton Sep 2024

Title: Questioning Attebery’S ‘Bullseye’: Interviews With Young Readers Of Fantasy May De-Center The Lord Of The Rings, Luke Shelton

Journal of Tolkien Research

In 2018 and 2019, I interviewed young readers about their opinions of The Lord of the Rings (LotR) as a part of my PhD thesis. Their ideas concerning the genre of the text destabilize Attebery's use of it as a central point for the genre. Since these readers do not demonstrate a consensus that LotR is a work of fantasy, one is left to wonder if the idea of the fuzzy set proposed by Attebery is accurate when considering the lived experiences of readers. This leads to several questions about why these young readers have categorized the story …


Developing And Implementing Effective Faculty Review Processes For Enhanced Performance In Higher Education, Plourde Vallon Sep 2024

Developing And Implementing Effective Faculty Review Processes For Enhanced Performance In Higher Education, Plourde Vallon

Walden Dissertations and Doctoral Studies

Regular and effective faculty performance reviews are essential for maintaining high educational standards. When higher education institutions lack effective strategies to develop and implement effective faculty evaluation processes, teaching quality and institutional success are negatively impacted. Grounded in Freeman’s stakeholder theory and the Baldrige Excellence Performance Framework, the purpose of this qualitative single case study was to explore strategies that some leaders of higher education institutions used to develop and implement faculty evaluation processes. The participants in the study were two organizational leaders and two faculty members from a higher education institution in the Atlantic region of Canada, all of …


Neutrosophic Semi Δ-Preopen Sets And Neutrosophic Semi Δ-Pre Continuity, Mahima Thakur, F. Smarandache, S. S. Thakur Sep 2024

Neutrosophic Semi Δ-Preopen Sets And Neutrosophic Semi Δ-Pre Continuity, Mahima Thakur, F. Smarandache, S. S. Thakur

Neutrosophic Sets and Systems

The purpose of this paper is to introduce the concepts of neutrosophic semi δ-preopen sets and neutrosophic semi δ-precontinuous mappings in neutrosophic topological spaces and obtain some of their properties and characterizations.


Heptagonal Neutrosophic Quotient Mappings, Subasree R, Basarikodi K, Saeid Jafari, Subramanian K Sep 2024

Heptagonal Neutrosophic Quotient Mappings, Subasree R, Basarikodi K, Saeid Jafari, Subramanian K

Neutrosophic Sets and Systems

In 2023, [6] Kungumaraj et al. presented the Heptagonal Neurosophic Number and Heptagonal Neurosophic Topology. Heptagonal neutrosophic numbers are essential because they provide a powerful tool for representing and managing uncertainty in decision-making processes across various domains, offering a more nuanced and versatile approach compared to traditional fuzzy or intuitionistic fuzzy sets. Heptagonal neutrosophic methods differ from other neutrosophic methods primarily in the number of parameters they consider and their applications. Heptagonal neutrosophic numbers consider seven parameters, namely truth, falsity, indeterminacy, neutral, anti-neutral, extra-neutral, and pseudo-neutrality. By de-neutrosophication technique, heptagonal neutrosophic numbers transformed into a crisp neutrosophic values for better …


The Role Of Lacunary Statistical Convergence For Double Sequences In Neutrosophic Normed Spaces, Jenifer. P, Jeyaraman. M Sep 2024

The Role Of Lacunary Statistical Convergence For Double Sequences In Neutrosophic Normed Spaces, Jenifer. P, Jeyaraman. M

Neutrosophic Sets and Systems

This paper introduces and explores the concept of lacunary statistical convergence of double sequence within the framework neutrosophic normed spaces. Neutrosophic normed spaces extend classical normed spaces by incorporating neutrosophic numbers, which account for the inherent uncertainty, indeterminacy, and vagueness present in real - world data. The study begins by defining lacunary statistical convergence for double sequences in this extended context and proceeds to establish fundamental theorems and properties related to this new notion. In addition, we present a new idea in this context: statistical completeness. We demonstrate that, while neutrosophic normed space is statistically complete, it is not complete.


A Neutrosophic Approach For Breast Mass Detection In Digital Mammogram Images, Sofia Jennifer J, Kalaivani C Sep 2024

A Neutrosophic Approach For Breast Mass Detection In Digital Mammogram Images, Sofia Jennifer J, Kalaivani C

Neutrosophic Sets and Systems

Breast cancer is the most common type of cancer that affect women and yet there is no substantive cure. On early diagnosis of breast lesions with this size using mammogram would help the affected tumor patients have a good survival rate. Detecting cancer cells is a challenging task and hence we propose a single valued neutrosophic approach for segmenting breast tumor lesions in mammogram images. In this neutrosophic approach, the intensity values are represented as truth, indeterminacy and falsity membership in where the indeterminacy are noise, and the breast regions are the true and falsity values. The computations of these …


Multi Attribute Neutrosophic Optimization Technique Foroptimal Crop Selection In Ariyalur District, Angammal S, Hannah Grace G, Nivetha Martin, Florentin Smarandache Sep 2024

Multi Attribute Neutrosophic Optimization Technique Foroptimal Crop Selection In Ariyalur District, Angammal S, Hannah Grace G, Nivetha Martin, Florentin Smarandache

Neutrosophic Sets and Systems

Ranking crops is a vital part of sustainable farming practices. A deliberate strategy that incorporates multi-criteria decision-making is essential for achieving sustainability in agriculture. The process of choosing crops involves a lot of unknowns and unpredictable elements. The neutrosophic set, characterized by the three independent degrees of truth (T), falsity (F), and indeterminacy (I), is more adept at handling incomplete data. The current study combines single-valued multi-criteria neutrosophic programming with the TOPSIS approach to examine the crop selection process in the Ariyalur district. This study incorporated expert advice and a thorough literature analysis to identify the fundamental criteria for developing …


On Neutrosophic Normed Spaces Of I-Convergence Diferencesequences Defned By Modulus Function, Vakeel A. Khan, Mohammad Arshad Sep 2024

On Neutrosophic Normed Spaces Of I-Convergence Diferencesequences Defned By Modulus Function, Vakeel A. Khan, Mohammad Arshad

Neutrosophic Sets and Systems

In this paper, we introduce the neutrosophic I-convergent difference sequence spaces I(Y) (Δ)(f) and I0(Y) (Δ) (f) defined by modulus function. Also, we define an open ball B(x, ϵ, γ)(f) in neutrosophic norm space defined by modulus function. Furthermore, We construct new topological spaces and look into various topological aspects in neutrosophic I-convergent difference sequence spaces I(Y) (Δ)(f) and I0(Y) (Δ) (f) defined by modulus function


On Diminishing Fuzzy Neutrosophic Topological Spaces Over Nano Topology, Jansirani N, Vasugi T, Kamal Nasir V Sep 2024

On Diminishing Fuzzy Neutrosophic Topological Spaces Over Nano Topology, Jansirani N, Vasugi T, Kamal Nasir V

Neutrosophic Sets and Systems

As an extension and also, a necessity to compute the indeterminacy, the concept of diminishing fuzzy sets is protracted to introduce the conception of diminishing fuzzy (single-valued) neutrosophic sets in the standard unit interval. In addition, the axioms of neutrosophic topological spaces are extended to config- ure the collection, diminishing fuzzy neutrosophic topology, and also, the basic theorems of nano topology is incorporated to the case of diminishing fuzzy neutrosophic set in terms of the approximation space and the boundary region by acquiring the same operators for the quantities, non-membership and indeterminacy are also discussed. Moreover, a nano continuous function …


A Neutrosophic Solution Of Heat Equation By Neutrosophic Laplace Transform, Gugu Narzary, Bhimraj Basumatary, Giorgio Nordo Sep 2024

A Neutrosophic Solution Of Heat Equation By Neutrosophic Laplace Transform, Gugu Narzary, Bhimraj Basumatary, Giorgio Nordo

Neutrosophic Sets and Systems

This article aims to study the one-dimensional neutrosophic heat equation. In this study, we discuss the one-dimensional heat equation using neutrosophic numbers and provide numerical example to demonstrate the effectiveness of the neutrosophic Laplace transform method.


C-Continuity, C-Compact And C-Separation Axioms Via Soft Sets, Hind Y. Saleh, Areen A. Salih Sep 2024

C-Continuity, C-Compact And C-Separation Axioms Via Soft Sets, Hind Y. Saleh, Areen A. Salih

Neutrosophic Sets and Systems

This paper focuses on the concept of Sc-open sets as a generalization of classical c-open sets in topology. The reason behind introducing Sc-open sets is to overcome the limitations of traditional open sets in handling uncertainty and vagueness prevalent in decision-making processes. Moreover, the paper makes significant contributions to the discussion of the concepts of soft topological spaces (STS) by utilizing Sc-open sets that investigate the theoretical foundations and mathematical properties of Sc-open sets, exploring their relationships with other soft open sets and soft topological concepts. Overall, the paper aims to provide a comprehensive understanding of STS and their properties …


Convexity For Interval Valued Neutrosophic Setsand Its Application In Decision Making, Suthi Keerthana Kumar, Vigneshwaran Mandarasalam, Saied Jafari, Rose Venish Ayyakanupillai Gnanaudhayam, Vidyarani Lakshmanadas Sep 2024

Convexity For Interval Valued Neutrosophic Setsand Its Application In Decision Making, Suthi Keerthana Kumar, Vigneshwaran Mandarasalam, Saied Jafari, Rose Venish Ayyakanupillai Gnanaudhayam, Vidyarani Lakshmanadas

Neutrosophic Sets and Systems

The notion `Convexity' is applied in various areas of mathematics particularly in optimization tech- niques. It is known that this concept is applied in fuzzy sets, which is studied by many authors. This article deals with convexity utilized for neutrosophic and interval valued neutrosophic sets which is a generalization of intuitionistic fuzzy sets. Also some interesting preservation properties of convexity under intersection operators in interval valued neutrosophic sets are discussed. Adding to the discussion, preservation property of digital convexity under intersection using deformation and other techniques are touched upon. Eventually the appli- cation of convexity to decision making are illustrated …


Comparative Analysis Of Neutrosophic, Pythagorean Neutrosophic, And Fermatean Neutrosophic Soft Matrices In The Context Of Industrial Accidents: A Case Study, Smruthi P., Abinaya S., Dharunya S., R. Sundareswaran, Shanmugapriya M., Said Broumi Sep 2024

Comparative Analysis Of Neutrosophic, Pythagorean Neutrosophic, And Fermatean Neutrosophic Soft Matrices In The Context Of Industrial Accidents: A Case Study, Smruthi P., Abinaya S., Dharunya S., R. Sundareswaran, Shanmugapriya M., Said Broumi

Neutrosophic Sets and Systems

Industrial accidents pose significant risks to human lives, the environment, and economic stability. This study presents a comparative analysis of three plithogenic frameworks—Neutrosophic soft sets, Pythagorean neutrosophic soft sets, and Fermatean neutrosophic soft sets—aiming to model and analyze industrial accidents. The primary objective is to evaluate the effectiveness of these soft sets in handling the uncertainties, complexities, and imprecisions inherent in accident data. Utilizing Dhar's (2021) algorithm for Neutrosophic soft matrices, we introduce a new parameter called a risk score, which consolidates various values for each industry or parameter into a singular magnitude. Our findings indicate that neutrosophic soft sets …


A Study On (Λ − Μ) Zweier Sequences And Their Behaviour In Neutrosophic Normed Spaces, Vakeel A. Khan, Mohd Faisal Sep 2024

A Study On (Λ − Μ) Zweier Sequences And Their Behaviour In Neutrosophic Normed Spaces, Vakeel A. Khan, Mohd Faisal

Neutrosophic Sets and Systems

Ideal convergence of sequences in neutrosophic normed spaces is defined by ¨Omer Ki¸si [12]. This paper defines new sequence spaces using the Zweier matrix and neutrosophic norm. We explore (λ, μ)-Zweier convergence, (λ, μ) ideal convergence of double sequences in neutrosophic norm. We show that a double sequence that is (λ, μ)-Zweier convergent or ideal convergent has a unique limit with respect to neutrosophic norm. Additionally, we prove that (λ, μ)-Zweier ideal convergence is equivalent to (λ, μ)-Zweier ideal Cauchy for a double sequence in neutrosophic normed space.


A Review On Recent Development Of Neutro-Topology, Bhimraj Basumatary Sep 2024

A Review On Recent Development Of Neutro-Topology, Bhimraj Basumatary

Neutrosophic Sets and Systems

Smarandache proposed NeutroAlgebra and AntiAlgebra. NeutroAlgebras and AntiAlgebras are a new research topic based on real-world scenarios. He investigated the concepts of neutro- and anti-structure. He demonstrated using NeutroAlgebra concepts that just because a statement is completely true in a classical Algebra does not imply that it is also completely true in a NeutroAlgebra or AntiAlgebra. It is determined by the operations and axioms on which it is based (whether they are completely true, partially true, totally false, or partially or completely indeterminate). This study examines the concepts of Generalised regular Neutro-Topological space and its properties.


The Study Of Neutrosophic Algebraic Structures And Itsapplication In Medical Science, Binu R, Paul Isaac Sep 2024

The Study Of Neutrosophic Algebraic Structures And Itsapplication In Medical Science, Binu R, Paul Isaac

Neutrosophic Sets and Systems

Neutrosophic exact sequence and its construction is presented as algebraic structure in this article. A mathematical construction known as a neutrosophic exact sequence expands the implications of an exact sequence from classical algebra to the domain of neutrosophic sets. This work introduces a full description of neutrosophic exact sequence of R-modules as a structural preserving tools and discusses the fundamental features. Additionally we examine the role of beta level sets in neutrosophic sets and investigate the neutrosophic split exact sequence.


Tec 21 Model And Critical Thinking: An Ncm-Based Neutrosophic Analysis In Higher Education, Mohd Anas Wajid, Claudia Camacho-Zuñiga, Florentin Smarandache, Hugo Terashima-Marin, Mohammad Saif Wajid, Mohammad Kaif Wajid Sep 2024

Tec 21 Model And Critical Thinking: An Ncm-Based Neutrosophic Analysis In Higher Education, Mohd Anas Wajid, Claudia Camacho-Zuñiga, Florentin Smarandache, Hugo Terashima-Marin, Mohammad Saif Wajid, Mohammad Kaif Wajid

Neutrosophic Sets and Systems

With a growing emphasis on developing transverse competencies in students, many educational institutions are trying to revolutionize the traditional system of education. One among others is TEC de Monterrey in Mexico which refines its educational models so that the students can be nourished with the skills that prepare them not only for the present but for years to come. Among skill development transverse competencies are considered a key to the successful career development of a student that emphasizes on critical thinking aspect. So mainly the the educational models try to inculcate or enhance the critical thinking of students. Towards this …


Neutrosophic Logic To Navigate Uncertainty Of Security Events In Mexico, Mohammad Saif Wajid, Hugo Terashima Marin, Mohd Anas Wajid, Florentin Smarandache, Satya Bhushan Verma, Mohammad Kaif Wajid Sep 2024

Neutrosophic Logic To Navigate Uncertainty Of Security Events In Mexico, Mohammad Saif Wajid, Hugo Terashima Marin, Mohd Anas Wajid, Florentin Smarandache, Satya Bhushan Verma, Mohammad Kaif Wajid

Neutrosophic Sets and Systems

A significant degree of uncertainty surrounds security events in Mexico because of the interaction of multiple socioeconomic and political elements. Conventional probabilistic and logical approaches frequently fall short of properly handling this uncertainty. To effectively navigate and manage security incidents in Mexico, this study suggests applying neutrosophic logic, an extension of classical logic that allows for indeterminacy and partial knowledge. Neutrosophic logic provides a more adaptable framework for making decisions in uncertain contexts by simultaneously handling true, false, and indeterminate values. In this study, we have created a neutrosophic-based model that includes metrics like social unrest, economic instability, and crime …


Neutrosophic Industry 5.0 Inventory Model With Technology Driven Demand And Costs Parameters, A. Theeba, Nivetha Martin, Florentine Smarandache Sep 2024

Neutrosophic Industry 5.0 Inventory Model With Technology Driven Demand And Costs Parameters, A. Theeba, Nivetha Martin, Florentine Smarandache

Neutrosophic Sets and Systems

In this age of technology, the manufacturing sectors are embracing the elements of industry 5.0 to setup a robust kind of production process. This research work proposes a novel neutrosophic production inventory model encompassing the cost parameters of technology inaddition to the conventional inventory costs. In this model the demand is expressed as function of technology of the form αe^(-βt)+γt with the coefficients α, β and γdealing with the initial demand, decrease in demand over time and increase in demand with the adoption of new technology. The neutrosophic model developed in this work addresses the decision circumstances of indeterminacy in …


A Note On Generalized Heptagonal Neutrosophic Sets, Subasree R, Basarikodi K, Saeid Jafari, G. Nordo Sep 2024

A Note On Generalized Heptagonal Neutrosophic Sets, Subasree R, Basarikodi K, Saeid Jafari, G. Nordo

Neutrosophic Sets and Systems

The concept of a Generalized Heptagonal Neutrosophic set is introduced and its properties are examined in this paper. We also discussed about the interior and closure operators of the Generalized Heptagonal neutrosophic set.


Exploring Topological Characteristics Of Neutrosophic Banach Spaces, Pandiselvi. M, Jeyaraman. M Sep 2024

Exploring Topological Characteristics Of Neutrosophic Banach Spaces, Pandiselvi. M, Jeyaraman. M

Neutrosophic Sets and Systems

The open mapping theorem, the closed graph theorem, and other topological characteristics of neurosophic Banach spaces are examined in this paper. Moreover, in neutrosophic normed spaces, the closedness characteristics of the sum of two linear operators has been studied.


New Multi‑Criteria Decision Making Technique Based On Neutrosophic Qualiflex Method, Antonios Paraskevas, Michael Madas Sep 2024

New Multi‑Criteria Decision Making Technique Based On Neutrosophic Qualiflex Method, Antonios Paraskevas, Michael Madas

Neutrosophic Sets and Systems

The field of Multicriteria Decision Making (MCDM) has advanced significantly, with methods like QUALIFLEX playing a key role by integrating concordance and discordance measures for robust decision outcomes. This paper introduces an innovative extension, neutrosophic QUALIFLEX, which incorporates neutrosophic sets to better handle uncertainty and indeterminacy. Neutrosophic logic manages truth, indeterminacy, and falsity simultaneously, offering a nuanced approach compared to traditional models. The scope of this article is the application of neutrosophic QUALIFLEX to staff selection in business, a scenario often plagued by high uncertainty. Preliminary results show that neutrosophic QUALIFLEX provides superior performance, delivering more accurate and reliable rankings …


Hausdorf Space In Neutrosophic Ideal Topological Spaces: Applications In Decision Making, Kalaivani C, Sofía Jennifer J Sep 2024

Hausdorf Space In Neutrosophic Ideal Topological Spaces: Applications In Decision Making, Kalaivani C, Sofía Jennifer J

Neutrosophic Sets and Systems

This paper presents the concept of neutrosophic I–Hausdorffness in the context of neutrosophic ideal topological spaces, along with various related theorems. Additionally, we provide a practical example showcasing the application of neutrosophic ideals in facilitating decision-making in uncertain environnments.


Plithogenic Hypersoft Based Plithogenic Cognitive Maps In Sustainable Industrial Development, N. Angel, P. Pandiammal, Nivetha Martin Sep 2024

Plithogenic Hypersoft Based Plithogenic Cognitive Maps In Sustainable Industrial Development, N. Angel, P. Pandiammal, Nivetha Martin

Neutrosophic Sets and Systems

Plithogenic Cognitive Maps (PCM) is a comprehensive decision tool discussed in diverse dimensions. The development of PCM models is indispensable in the domain of decision-making. This research work proposes theoretical framework of Plithogenic hypersoft sets (PHS) based PCM. This is a novel approach to make optimal decisions by considering several aspects simultaneously. The objective of this integrated approach is to make concurrent investigations on the interassociational impacts between the factors of the problem taken into account. The PHS based PCM is applied to a decision - making scenario of sustainable industrial development to demonstrate the significance of this PHS based …


Enhanced Neutrosophic Set And Machine Learning Approach For Breast Cancer Prediction, Ashika T, Hannah Grace, Nivetha Martin, Florentin Smarandache Sep 2024

Enhanced Neutrosophic Set And Machine Learning Approach For Breast Cancer Prediction, Ashika T, Hannah Grace, Nivetha Martin, Florentin Smarandache

Neutrosophic Sets and Systems

Breast cancer is the most prevalent type of cancer that affects women worldwide and poses a serious risk to female mortality. In order to lower death rates and enhance treatment results, early detection is critical. Neutrosophic Set Theory (NST) and machine learning (ML) approaches are integrated in this study to provide a novel hybrid methodology (NS-ML) that improves breast cancer diagnosis. Using the Wisconsin Diagnostic Breast Cancer (WDBC) dataset, the research transforms these data into Neutrosophic (N) representations to effectively capture uncertainties. When trained on the N-dataset instead of traditional datasets, ML algorithms such as Decision Tree (DT), Random Forest …


Improved Method Of Interval Valued Neutrosophic Matrix Composition And Its Application In Medical Diagnosis, S. Sathiya, A. Puspalatha Sep 2024

Improved Method Of Interval Valued Neutrosophic Matrix Composition And Its Application In Medical Diagnosis, S. Sathiya, A. Puspalatha

Neutrosophic Sets and Systems

Neutrosophic sets are an important branch of topology that addresses issues with inconsistent, indeterminate, and uncertain situations in everyday life. Interval valued neutrosophic sets, known as subclasses of neutrosophic sets, have been specifically designed to address problems with a set of numbers in the real unit of interval rather than just a single number. Interval valued neutrosophic(IVN) matrix plays an influential role in decision making problems with indeterminant and inconsistent information. The objective of the paper is to discuss the concepts and operations of IVN matrix theory and propose a newly concept of an improved method of IVN matrix composition …


Numerical Techniques For Solving Ordinary Differentialequations With Uncertainty, Augus Kurian, I R. Sumathi Sep 2024

Numerical Techniques For Solving Ordinary Differentialequations With Uncertainty, Augus Kurian, I R. Sumathi

Neutrosophic Sets and Systems

In this article, we derive a numerical solution to the ordinary differential equation with a neutrosophic number as the initial condition.The Adams-Bashforth, Adams-Moulton, and predictorcorrector algorithms are used to solve the differential equation with hexagonal neutrosophic number as the initial condition. The convergence and stability of the methods are also investigated.


Aczel-Alsina Power Average Aggregation Operators Of Singlevalued Neutrosophic Under Confdence Levels And Theirapplication In Multiple Attribute Decision Making, S Bharathi, S Mohanaselvi Sep 2024

Aczel-Alsina Power Average Aggregation Operators Of Singlevalued Neutrosophic Under Confdence Levels And Theirapplication In Multiple Attribute Decision Making, S Bharathi, S Mohanaselvi

Neutrosophic Sets and Systems

In decision making scenarios, dealing with imprecise information through extensions of fuzzy sets is crucial. Among these extensions, single valued neutrosophic set (SVNS) are especially effective at managing and interpreting such imprecise data. In the current study, decision makers confidence levels, derived from their familiarity with the assessed objects, are combined with the primary data within a neutrosophic framework. This paper focuses on developing innovative confidence single valued neutrosophic (SVN) aggregation operators (AO) that utilize the recently developed Aczel-Alsina (AA) operational laws and power AO (PAO) to capture the interrelationships among aggregated single valued neutrosophic numbers (SVNN). Specifically, it introduces …