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Articles 1261 - 1290 of 3417
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Enhancing Dvnn-Wcsm Technique For Double-Valued Neutrosophic Multiple-Attribute Decision-Making In Digital Economy: A Case Study On Enhancing The Quality Of Development Of Henan's Cultural And Tourism Industry, Yourong Guo
Neutrosophic Sets and Systems
Henan Province is the core area of the Yellow River Basin and an important area for inheritance of Yellow River culture. Promoting the development of the cultural and tourism industry in Henan Province essentially involves integrating the cultural resources of the Yellow River in Henan Province, creating cultural tourism products and projects with the cultural characteristics of the Yellow River region, thereby enriching the content of Henan's tourism industry and promoting its economic development. In the future development of the cultural and tourism industry, Henan Province not only needs to solve current problems of insufficient industrial competitiveness, lack of product …
Triangular Fuzzy Quadripartitioned Neutrosophic Set And Its Properties, Tanmoy Chatterjee, Surapati Pramanik
Triangular Fuzzy Quadripartitioned Neutrosophic Set And Its Properties, Tanmoy Chatterjee, Surapati Pramanik
Neutrosophic Sets and Systems
The main objective of the paper is to hybridize the triangular fuzzy number and the quadripartitioned neutrosophic set and develop the triangular fuzzy quadripartitioned neutrosophic set. The triangular fuzzy numbers have great potential to express uncertainty systematically. So, the combination of the triangular fuzzy numbers and quadripartitioned neutrosophic sets is an intelligent mathematical tool that will be a helpful mathematical tool for decision-making. We define some operations on the triangular fuzzy quadripartitioned neutrosophic sets such as union, intersection, and complement. We establish some important theorems on operations like union, intersection in between three triangular fuzzy quadripartitioned neutrosophic sets in an …
A Study On N-Th Derivative Of Neutrosophic Function And Neutrosophic Differential Equation, Gugu Narzary, Bhimraj Basumatary
A Study On N-Th Derivative Of Neutrosophic Function And Neutrosophic Differential Equation, Gugu Narzary, Bhimraj Basumatary
Neutrosophic Sets and Systems
Neutrosophic sets play an important role in addressing uncertainty, vagueness, and indeterminacy in problem-solving. In this research article, we deal with the concepts of the derivative of neutrosophic real functions. This article aims to understand the n-th order derivative of neutrosophic real functions. In addition, the n-th order neutrosophic differential equation is defined, and at the same time, we have established both the existence and uniqueness of the solution to the n-th order neutrosophic differential equation.
A Study On Some Properties Of Fourier Integrals Based On Neutrosophic Function, Prasen Boro, Bhimraj Basumatary
A Study On Some Properties Of Fourier Integrals Based On Neutrosophic Function, Prasen Boro, Bhimraj Basumatary
Neutrosophic Sets and Systems
Fourier transforms is one of the oldest and a well-known technique in field of mathematic and engineering mathematical work. Fourier transform method represents the variable as a summation of complex exponentials. Fourier analysis has been used in signal processing and digital image processing for the analysis of a single image as a two-dimensional wave form, and many other type of form like Quantum mechanics, Signal processing, Image Processing. This analysis also represents filters, Transformation, representation, and encoding, Data Processing, Analysis and many more fields. In this article, some basics of Fourier Integrals have been discussed in terms of neutrosophic set. …
Pairwise Approach To Neutrosophic Soft Bi-Topological Spaces: Exploring Neutrosophic Soft Open Sets And Their Real-Life Applications, Maha Mohammed Saeed, Samer Al Ghour, Arif Mehmood, Wahid Rehman, Fabio Souto De Azevedo, R. Seethalakshi, Aamir Abbas, M. Kaviyarasu
Pairwise Approach To Neutrosophic Soft Bi-Topological Spaces: Exploring Neutrosophic Soft Open Sets And Their Real-Life Applications, Maha Mohammed Saeed, Samer Al Ghour, Arif Mehmood, Wahid Rehman, Fabio Souto De Azevedo, R. Seethalakshi, Aamir Abbas, M. Kaviyarasu
Neutrosophic Sets and Systems
In this article, eight new definitions are introduced in the context of neutrosophic soft bi-topological spaces with respect to the soft points of the space. Among these new definitions, one important concept known as the soft open set is selected for a pairwise discussion of different structures. These structures include separation axioms, subspaces, the connections between separation axioms and closures, results concerning interiors and closures, the product of separation axioms, and their relationships with neutrosophic soft coordinate spaces regarding soft points. Finally, the most significant structure known as entropy is discussed, and based on this structure, an example related to …
Deciphering The Geometric Bonferroni Mean Operator In Pythagorean Neutrosophic Sets Framework, Mohammad Shafiq Bin Mohammad Kamari, Zahari Bin Md. Rodzi, R.H. Al-Obaidi, Faisal Al-Sharqi, Ashraf Al-Quran, Rawan A. Shlaka
Deciphering The Geometric Bonferroni Mean Operator In Pythagorean Neutrosophic Sets Framework, Mohammad Shafiq Bin Mohammad Kamari, Zahari Bin Md. Rodzi, R.H. Al-Obaidi, Faisal Al-Sharqi, Ashraf Al-Quran, Rawan A. Shlaka
Neutrosophic Sets and Systems
The Geometric Bonferroni Mean (GBM), is an extension of The Bonferroni mean (BM), that combines both BM and the geometric mean, allowing for the representation of correlations among the combined factors while acknowledging the inherent uncertainty within the decision-making process. Within the framework of Pythagorean neutrosophic set (PNS) that encompasses truth, indeterminacy, and falsity-membership degrees, each criterion can be integrated into a unified PNS value, portraying the overall evaluation of that criterion by employing the Geometric Bonferroni mean. This study aims to enhance decision-making in Pythagorean neutrosophic framework by introducing an aggregation operator to PNS using the Geometric Bonferroni Mean. …
Similarity -Based Pattern Recognition For Disease Symptom Extraction And Characterization, Priya Mathews, Lovelymol Sebastian, Baiju Thankachan
Similarity -Based Pattern Recognition For Disease Symptom Extraction And Characterization, Priya Mathews, Lovelymol Sebastian, Baiju Thankachan
Neutrosophic Sets and Systems
Neutrosophic Fuzzy Sets (NFS) expand upon classical fuzzy sets in the field of fuzzy set theory by including measures of truth, indeterminacy, and falsity. This paper thoroughly examines the creation and assessment of similarity measures for Single-Valued Neutrosophic Fuzzy Sets (SVNFS). The similarity measure is a crucial metric that quantifies the extent of similarity between two sets. It finds extensive application in various fields such as pattern recognition, medical diagnosis, and decision-making challenges. Nevertheless, the current similarity measures of Neutrosophic Fuzzy Sets(NFS) suffer from limited practicality and interpretation, and do not yield highly reliable outcomes. In order to tackle this …
On The Continuous And Differentiable Two-Fold Neutrosophic And Fuzzy Real Functions, Raed Hatamleh
On The Continuous And Differentiable Two-Fold Neutrosophic And Fuzzy Real Functions, Raed Hatamleh
Neutrosophic Sets and Systems
This paper is dedicated to defining the concepts of two-fold neutrosophic continuous functions, two-fold fuzzy continuous functions, and two-fold neutrosophic/fuzzy differentiable functions for the first time. The elementary properties of these novel concepts will be studied and handled through many theorems, as well as many clear examples that clarify the validity of these analytical concepts.
Single Valued Neutrosophic Number Ensemble Learning Model For Stability Classification Of Open Pit Mine Slopes, Hanzhong Wang, Jun Ye, Rui Yong
Single Valued Neutrosophic Number Ensemble Learning Model For Stability Classification Of Open Pit Mine Slopes, Hanzhong Wang, Jun Ye, Rui Yong
Neutrosophic Sets and Systems
China's open pit mining industry faces the dual challenge of increasing production and preventing disasters. In order to ensure the safe exploitation of mineral resources, the stability of slopes must be assessed. In light of the fact that over 1,950 landslide accidents have occurred over the past decade, accounting for 15% of all safety incidents, the evaluation of slope stability has become a critical research focus in the fields of geo-resources and geo-engineering. Traditional slope stability evaluation methods rely on empirical tools and the expertise of professionals to assess slope stability. In contrast, machine learning (ML) methods offer a more …
Identification Of Influential Factors Affecting Student Performance In Semester Examinations In The Educational Institution Using Score Topological Indices In Single Valued Neutrosophic Graphs, S. Narasimman, M. Shanmugapriya, R. Sundareswaran, Laxmi Rathour, Lakshmi Narayan Mishra, Vinita Dewangan, Vishnu Narayan Mishra
Identification Of Influential Factors Affecting Student Performance In Semester Examinations In The Educational Institution Using Score Topological Indices In Single Valued Neutrosophic Graphs, S. Narasimman, M. Shanmugapriya, R. Sundareswaran, Laxmi Rathour, Lakshmi Narayan Mishra, Vinita Dewangan, Vishnu Narayan Mishra
Neutrosophic Sets and Systems
Education not only measures the progress of an individual, but it also contributes to the development of a community and a nation. To understand the factors that affect the academic performance of students in institutions of higher education, there are many factors within the institution and outside the institution that affect the academic performance of students. Includes affecting student academic performance are class size, parent-related factors, academic performance, the contribution of institutional factors to student academic performance, and the impact of poverty on students. The interplay of personal attributes, learning habits, prior academic preparation, and the school environment is essential …
Enhanced Tfnn-Gra Technique For Multiple-Attribute Decision-Making With Triangular Fuzzy Neutrosophic Information And Applications To Performance Evaluation Of Internally Cured High-Strength Concrete, Huayang Sun, Zhongyu Liu
Enhanced Tfnn-Gra Technique For Multiple-Attribute Decision-Making With Triangular Fuzzy Neutrosophic Information And Applications To Performance Evaluation Of Internally Cured High-Strength Concrete, Huayang Sun, Zhongyu Liu
Neutrosophic Sets and Systems
Internal curing technology involves the integration of internal curing materials into concrete, typically under pre-water storage conditions. This method works by gradually releasing water to increase the internal humidity of the concrete, which enhances the hydration of cementitious materials, reduces self-shrinkage in high-strength concrete (HSC), and improves its overall performance. Commonly used internal curing materials include absorbent resin and lightweight aggregates. However, using these materials in excessive amounts can compromise the strength or durability of the concrete, making it essential to determine the optimal dosage for effective application. When applied to HSC, internal curing helps mitigate shrinkage and enhances frost …
Introduction To Algorithmic Ethics Under A Neutrosophic Framework: Re-Mapping The Debate, Antonios Paraskevas, Florentin Smarandache
Introduction To Algorithmic Ethics Under A Neutrosophic Framework: Re-Mapping The Debate, Antonios Paraskevas, Florentin Smarandache
Neutrosophic Sets and Systems
Algorithms have become an integral part of professional life and social interactions, in health, transport, commerce and industry. Moreover, they are bringing about changes in the natural, social and human sciences, enriching our knowledge and testing the limits of technology. In the age of artificial intelligence (AI), the ethical behavior of algorithms is facing increasing scrutiny. Traditional models that attempt to evaluate algorithm ethics using binary or probabilistic methods often fall short in addressing the complexity and uncertainties present in real-world situations. This study introduces a novel approach to assessing algorithmic ethics by utilizing neutrosophic indeterminacy. Neutrosophic logic, which considers …
Ng#− Irresolvable And Strongly − Irresolvable Spaces In Neutrosophic Topological Spaces, Martina Jency J, Babisha Julit R L, Pious Missier S
Ng#− Irresolvable And Strongly − Irresolvable Spaces In Neutrosophic Topological Spaces, Martina Jency J, Babisha Julit R L, Pious Missier S
Neutrosophic Sets and Systems
The notion of breaking down a topological space into smaller, disjoint subsets is the basis for the topological concepts of ‘resolvable space’ and ‘irresolvable space’. By synergizing topology and neutrosophy, we have introduced a new paradigm in neutrosophic topological spaces, represented by N g #− resolvable spaces, N g #− irresolvable spaces and strongly N g #− irresolvable spaces. This pioneering fusion enables the exploration of novel mathematical structures and their characterizations.
Modeling Uncertainties Associated With Single-Valued Neutrosophic Multi-Attribute Decision-Making For Performance Evaluation Of Risk Investment In Small And Medium-Sized High-Technology Venture Enterprises, Huihui Shi, Ting Li, Fan Yang, Lei Qiao
Modeling Uncertainties Associated With Single-Valued Neutrosophic Multi-Attribute Decision-Making For Performance Evaluation Of Risk Investment In Small And Medium-Sized High-Technology Venture Enterprises, Huihui Shi, Ting Li, Fan Yang, Lei Qiao
Neutrosophic Sets and Systems
In recent years, a group of rapidly growing technology-based entrepreneurial enterprises have emerged in China, playing an increasingly important role in the national economy. However, small and medium sized technology startups have low profitability and high risk, making it difficult to obtain sufficient funds from traditional financing channels. At present, research on venture capital evaluation mainly focuses on the evaluation of projects before venture capital, and empirical methods are mostly used to study the promoting effect of venture capital on performance after investment, ignoring the issue of continuous evaluation after investment. The performance evaluation of risk investment in small and …
The Theoretical Framework On Approximation Of Neutrosophic Numbers And Their Application, Augus Kurian, Sumathi I R, Omaima Al-Shanqiti
The Theoretical Framework On Approximation Of Neutrosophic Numbers And Their Application, Augus Kurian, Sumathi I R, Omaima Al-Shanqiti
Neutrosophic Sets and Systems
Neutrosophic sets are effectual logic represented to understand ambiguous and inconsistent information. They are frequently used to explain many types of partial or incomplete information. Researchers have given much attention to the decision-making theory and its associated methodologies based on uncertain linguistic factors. This article emphasizes the novel neutrosophic number approximations to handle linguistic variables and their application in multiple-attribute decision-making. Different approximation techniques are introduced in neutrosophic sets, but substantial data loss may occur. Hence, a hexagonal neutrosophic number was proposed to deal with information loss during approximation. Also, the comparison study with existing techniques is explored to show …
Enhanced T2nn-Logtodim-Topsis Framework For Assessing Vocational College Students' Employment Quality Using Type-2 Neutrosophic Numbers, Ziyan Wang, Xifeng He
Enhanced T2nn-Logtodim-Topsis Framework For Assessing Vocational College Students' Employment Quality Using Type-2 Neutrosophic Numbers, Ziyan Wang, Xifeng He
Neutrosophic Sets and Systems
With the ongoing development of vocational education in our country, the employment quality of vocational college graduates has emerged as a crucial metric for assessing the overall strength and effectiveness of these institutions. Establishing a robust employment quality evaluation system for vocational colleges not only complements and enhances their employment-related efforts, but also represents a critical step toward improving the broader educational and teaching practices within these institutions. Currently, the construction of such evaluation systems tends to focus primarily on professional education and teaching. While this approach has undoubtedly contributed to improving the quality of vocational education, it often overlooks …
Neutrosophic-Based Enhanced Framework For Multi-Attribute Decision-Making Using Single-Valued Neutrosophic Sets In Evaluating Quality Of University General Education Courses, Yimo Zhao
Neutrosophic Sets and Systems
The quality evaluation of university general education courses is a process that comprehensively assesses aspects such as teaching effectiveness, content design, teacher qualifications, and student feedback. Its purpose is to ensure that the courses effectively enhance students' overall competencies, such as critical thinking, communication skills, and social responsibility. Through a scientific evaluation system, course design can be optimized, teaching methods improved, and overall educational quality enhanced, fostering students' all-round development. The quality evaluation of university general education courses is useful MADM. The single-valued neutrosophic sets (SVNSs) is useful approach to administrate fuzzy information during the quality evaluation of university general …
Neutrosophic Sets And Systems, Vol. 75,2025, Florentin Smarandache, Mohamed Abdel-Basset, Maikel Leyva-Vazquez
Neutrosophic Sets And Systems, Vol. 75,2025, Florentin Smarandache, Mohamed Abdel-Basset, Maikel Leyva-Vazquez
Neutrosophic Sets and Systems
the whole volume
Neutrosophic Semi Δ-Preopen Sets And Neutrosophic Semi Δ-Pre Continuity, Mahima Thakur, F. Smarandache, S. S. Thakur
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
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
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
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
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
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
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
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
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
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
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
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.