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From Di-Alectics To N-Alectics: Indigenous Cultures And Ancestral Philosophies In Latin America, Florentin Smarandache, Maikel Y. Leyva Vázquez
From Di-Alectics To N-Alectics: Indigenous Cultures And Ancestral Philosophies In Latin America, Florentin Smarandache, Maikel Y. Leyva Vázquez
Neutrosophic Sets and Systems
This paper explores the n-alectic framework, which extends traditional di-alectic and tri-alectic models by integrating multiple subcomponents through refined neutrosophic logic. Drawing from pre Columbian philosophies, particularly Mesoamerican, Andean, and Amazonian traditions, the study demonstrates how indigenous worldviews align with n-alectic structures. The figure of Quetzalcóatl/Kukulkán illustrates a triadic balance of sky, earth, and underworld, while Andean Yanantin and Pachakuti reflect complementary duality and transformation. Shuar cosmology further exemplifies a complex n-alectic system, where multiple spiritual and natural forces interact dynamically. The ethical decision-making model, applied to resource extraction and Pachamama principles, utilizes weighted metrics and neutrosophic distance calculations to …
Global Gender Inequality In Industry: A Systematic Review With Neutrosophic Analysis, Jimmy Hurtado Paspuel, Raquel Vera-Ortega, Angel M. Plaza, Bernardo Hubert Ovalle Correa
Global Gender Inequality In Industry: A Systematic Review With Neutrosophic Analysis, Jimmy Hurtado Paspuel, Raquel Vera-Ortega, Angel M. Plaza, Bernardo Hubert Ovalle Correa
Neutrosophic Sets and Systems
This study examines gender inequalities in the worldwide sector via a systematic review employing a neutrosophic approach, focusing on income discrepancies, workplace harassment, preventative strategies, professional hurdles, and leadership representation. The neutrosophic methodology categorizes findings into components of truth, falsehood, and indeterminacy, assessing evidence via four metrics: neutrosophic score, reliability index, certainty level, and information quality index. In accordance with PRISMA 2020 standards, 282 studies published from 2020 to 2024 were examined. The findings indicate that workplace harassment exhibits the most substantial evidence (reliability=0.828, IQI=0.496), succeeded by wage disparities (reliability=0.813, IQI=0.400), whereas prevention policies reveal the greatest uncertainty (reliability=0.696). Robust …
Interval-Valued Neutrosophic Framework For Improving The Decision-Making On The Quality Evaluation Of English Classics Translation, Ying Du
Neutrosophic Sets and Systems
English translations of literary classics are a subject of interest for many scholars and evaluators. However, the evaluation of the translations is a complex and multifaceted task, which necessitates a balance between linguistic accuracy, cultural fidelity, and readability. This makes traditional methods often fall short of catching the uncertainties, ambiguities, and subjective judgments. In an attempt to bridge these gaps between computational linguistics and translation studies, we introduce a mathematically grounded IVNS approach to evaluate the translation of English classics by flexible modeling of the ambiguities inherent in translation decisions. Then, we introduced an extended version of the MULTIMOORA method, …
Neutrosophic Linguistic Rhotrix In Managerial Decision Making, R. Priya, Nivetha Martin, Florentine Smarandache
Neutrosophic Linguistic Rhotrix In Managerial Decision Making, R. Priya, Nivetha Martin, Florentine Smarandache
Neutrosophic Sets and Systems
The developments in rhotrix theory and their applications are unveiled at recent times. This research work proposes the notion of linguistic rhotrix conjoining the theories of linguistic matrix and rhotrix. The theory of linguistic rhotrix comprising fundamental definitions, operators and classifications is presented in this study. The algorithmic framework of applying linguistic rhotrix to decisioning problem is presented in this work. A managerial decision-making illustration is putforth to validate the proposed decisioning framework based on neutrosophic quantifications of linguistic rhotrix. The results obtained are compared with fuzzy and intuitionistic fuzzy quantifications to demonstrate the efficacy of neutrosophic quantifications of linguistic …
Classification Of Organizational Behavior At The National Agrarian University Of La Selva Based On Plithogenic Sets, Ketty Marilú Moscoso-Paucarchuco, Lucila Maribel Justiniano-Advincula, Monica Gisela Justiniano-Advincula, Manuel Michael Beraún-Espíritu, Inocente Feliciano Salazar-Rojas, Carlos Walter Mayta-Molina, Juan Dionicio Paz-Soldán Chávez
Classification Of Organizational Behavior At The National Agrarian University Of La Selva Based On Plithogenic Sets, Ketty Marilú Moscoso-Paucarchuco, Lucila Maribel Justiniano-Advincula, Monica Gisela Justiniano-Advincula, Manuel Michael Beraún-Espíritu, Inocente Feliciano Salazar-Rojas, Carlos Walter Mayta-Molina, Juan Dionicio Paz-Soldán Chávez
Neutrosophic Sets and Systems
In human organizations, there are group ways of conducting themselves, the interaction between members, and internal dynamics, among others that make the organization maintain a specific behavior as if it were an individual. This is the so-called Organizational Behavior, which is important to identify within a particular organization to improve the performance and efficiency of the entity. There are four types of organizational behavior models, namely, autocratic, custodial, supportive, and collegial. This paper aims to classify the organization that belongs to the office of the Academic Vice-Rector of the National Agrarian University of La Selva in Peru. To do this …
Neutrosophic Sets And Systems: A Decade Of Scientific Contribution And Growth, Muhammad Saqlain, José M. Merigó, Poom Kumam
Neutrosophic Sets And Systems: A Decade Of Scientific Contribution And Growth, Muhammad Saqlain, José M. Merigó, Poom Kumam
Neutrosophic Sets and Systems
Neutrosophic Sets and Systems (NSS) has become an important Journal for neutrosophic theory and its applications in uncertainty modeling and decision sciences. In 2023, NSS celebrated its 10th anniversary, marking a decade of contributions to scientific literature. Motivated by this event, this paper provides a critical bibliometric analysis of NSS’s evolution as a leading academic journal in neutrosophy. This study explores the publication trends, citation impact, most productive authors, institutions, and global collaboration networks of NSS. The study maps bibliographic coupling, keyword co-occurrence and co-citation analysis using data from the Scopus database, secondary search using NSS webpage, and visualization tools …
Convolutional Interval-Valued Neutrosophic Network For Intelligent Evaluation Of Smart Clothing Design Choices, Fengfang Wu
Convolutional Interval-Valued Neutrosophic Network For Intelligent Evaluation Of Smart Clothing Design Choices, Fengfang Wu
Neutrosophic Sets and Systems
Smart clothing design turned out to be a set of complex decision-making processes requiring complementary aesthetics, functionality, as well as customer preferences. This, in turn, makes the traditional evaluation methods struggle to deal with uncertainty and subjectivity in customer feedback about smart clothing design. In an attempt to address this challenge, this research article proposes a novel Neutrosophic approach that integrates Interval-Valued Neutrosophic (IVN) with Convolutional Network to build an intelligent tool for the evaluation of smart clothing design choices. The Neutrosophic representation enables modeling uncertainty, inconsistency, and hesitancy in decision-making by assigning interval-ed membership degrees for different views of …
A Comparison Between Euler's Method And 4-Th Order Runge- Kutta Method For Numerical Solutions Of Neutrosophic And Dual Differential Problems, Ahmed Salem Heilat
A Comparison Between Euler's Method And 4-Th Order Runge- Kutta Method For Numerical Solutions Of Neutrosophic And Dual Differential Problems, Ahmed Salem Heilat
Neutrosophic Sets and Systems
This paper is dedicated to study some numerical solutions of neutrosophic and dual differential problems through a numerical comparison between neutrosophic Euler's method and 4-th order Runge-Kutta neutrosophic and dual method, where we apply both methods on the same problems and compare the numerical results of solutions and numerical estimations of errors by using numerical tables.
An Analysis Of Bipolar Trapezoidal Neutrosophic Sets (Btnss) For Examining The Income-Increasing And Poverty-Reduction Effects Of Ecological Compensation In The Huai River Basin Of Anhui Province: A Comprehensive Study, Yuwei Wang, Shengnan Zhang
An Analysis Of Bipolar Trapezoidal Neutrosophic Sets (Btnss) For Examining The Income-Increasing And Poverty-Reduction Effects Of Ecological Compensation In The Huai River Basin Of Anhui Province: A Comprehensive Study, Yuwei Wang, Shengnan Zhang
Neutrosophic Sets and Systems
This study proposes the decision-making approach for evaluation of ecological compensation in the Huai river basin of Anhui province. We used the neutrosophic sets to deal with the uncertainty information. In both the trapezoidal and bipolar neutrosophic environments, decision makers supply all the information needed to make decisions in complex multicriteria decision-making problems. This work suggests a novel, efficient method to handle these situations. We used two methods to evaluate the criteria and alternatives such as LMAW and MARCOS. We used the LMAW method to compute the criteria weights and the MARCOS method to rank the alternatives. Nine criteria and …
Enhancing Medical X-Ray Image Classification With Neutrosophic Set Theory And Advanced Deep Learning Models, Walid Abdullah
Enhancing Medical X-Ray Image Classification With Neutrosophic Set Theory And Advanced Deep Learning Models, Walid Abdullah
Neutrosophic Sets and Systems
The classification of medical images presents significant challenges due to the presence of noise, uncertainty, and indeterminate information. Traditional deep learning models often struggle to manage this, leading to reduced diagnostic accuracy, especially when dealing with low-quality or ambiguous conditions. This paper proposes a hybrid approach that integrates Neutrosophic Set (NS) theory with deep learning models to enhance X-ray image classification under uncertain conditions. NS theory introduces three domains: True (T), Indeterminate (I), and False (F) to manage image uncertainty and noise, allowing deep learning models to better interpret complex, ambiguous visual information. To evaluate the approach, five state-of-the-art deep …
New Energy Vehicle Industry Chain Evaluation By Developing Decision-Making Methodology With Hypersoft Set And Neutrosophic Sets, Lulu Shi
Neutrosophic Sets and Systems
The New Energy Vehicle (NEV) industry has emerged as a crucial sector in the global transition toward sustainable transportation. This study proposed a decision-making methodology for NEV industry chain evaluation. We used two decision making methods, such as SWARA method to compute the criteria weights and the MAIRCA method to rank the alternatives. These methods are used under the neutrosophic sets to deal with uncertainty data. Then we used the HyperSoft Set to show the relationship between the criteria and their values. This study proves the validation of the proposed approach by applying the proposed approach in case study. Four …
Neutrosophic Hypersoft Set (Nhss) For Teaching Quality Assessment In University Interior Design Courses, Ruijuan Zhang
Neutrosophic Hypersoft Set (Nhss) For Teaching Quality Assessment In University Interior Design Courses, Ruijuan Zhang
Neutrosophic Sets and Systems
Teaching quality evaluation in university interior design courses have different criteria and values. So, we used the multi-criteria decision making (MCDM) approach to deal with various criteria. Two MCDM methods are used such as Entropy to compute the criteria weights and RAFSI method to rank the alternatives. Two MCDM methods are used under the neutrosophic-Z number (NZN) to deal with uncertain and vague information. This study uses the neutrosophic HyperSoft set (NHSS) to find the relationship between different criteria. Seven criteria and eight alternatives are used in this study. An empirical application is applied to show the validation of the …
Prioritization Of Higher Education Management Strategies Based On The Neutrosophic Uncertainty Model For Sustainability, Xinxiu Yang
Neutrosophic Sets and Systems
This study proposes the multi-criteria decision-making methodology (MCDM) to rank the strategies of higher education management. We used the neutrosophic sets to deal with uncertain information in the MCDM solutions. We used two MCDM methods in this study such as CRiteria Importance Through Intercriteria Correlation (CRITIC) and alternative ranking order method accounting for two-step normalization (AROMAN). The CRITIC method is used to compute the criteria weights and the AROMAN method is used to rank the alternatives. We use the Trapezoidal Neutrosophic Z-Number (TNZN) which is an extension of the neutrosophic set to deal with vague data. This study uses nine …
Neutrosophic Normal Vague Set Fitting To Trigonometric Concept Via Aggregation Operators And Its Augmentation, M. Palanikumar, Nasreen Kausar, Tonguc Cagin
Neutrosophic Normal Vague Set Fitting To Trigonometric Concept Via Aggregation Operators And Its Augmentation, M. Palanikumar, Nasreen Kausar, Tonguc Cagin
Neutrosophic Sets and Systems
Using a cotangent trigonometric neutrosophic normal vague set (CotNNVS), we begin this communication article with several novel techniques. Some trigonometric neutrosophic sets and imprecise neutrosophic sets are extended by the novel idea of CotNNVS. We will discuss the various aggregating processes that interpret Cotangent trigonometric neutrosophic normal vague weighted averaging (CotNNVWA), cotangent trigonometric neutrosophic normal vague weighted geometric (CotNNVWG), cotangent trigonometric generalized neutrosophic normal vague weighted averaging (CotGNNVWA), and cotangent trigonometric generalized neutrosophic normal vague weighted geometric (CotGNNVWG) are the new topics covered in this paper
Adaptability Evaluation Of Vocational Education And Economic Development Under The Bipolar Neutrosophic Sets, Chen Yuan, Yongye Chen
Adaptability Evaluation Of Vocational Education And Economic Development Under The Bipolar Neutrosophic Sets, Chen Yuan, Yongye Chen
Neutrosophic Sets and Systems
This study suggests a decision-making methodology to evaluate the risks in vocational education and economic development. This problem has different criteria and alternatives which must be evaluated. This evaluation can include uncertainty in the evaluation process. So, we use the bipolar neutrosophic sets (BNSs) to deal with uncertainty and vague data. The BNSs are extensions of the neutrosophic sets. We used two decision-making methods for the evaluation of risks in vocational education and economic development such as BWM to compute the criteria weights and the COPRAS method to rank the alternatives based on a set of criteria. This study uses …
Optimizing Horizontal Collaboration In Logistics With Neutrosophic Z-Number Decision Models, Phi-Hung Nguyen, Lan-Anh Thi Nguyen, The-Vu Pham, Hong-Quan Le, Thu-Hoai Thi Nguyen, Tra-Giang Vu, Huong-Giang Hoang Le
Optimizing Horizontal Collaboration In Logistics With Neutrosophic Z-Number Decision Models, Phi-Hung Nguyen, Lan-Anh Thi Nguyen, The-Vu Pham, Hong-Quan Le, Thu-Hoai Thi Nguyen, Tra-Giang Vu, Huong-Giang Hoang Le
Neutrosophic Sets and Systems
Horizontal collaboration (HC) has emerged as a strategic approach to improve efficiency, sustainability, and competitive advantage while reducing CO2 emissions in supply chain operations. Despite its potential, HC implementation faces significant challenges, including trust management, strategic alignment, and decision-making complexities. This study proposes an integrated methodology that combines the Delphi technique and the DEMATEL framework, enhanced by Neutrosophic Z-number (NZN) theories, to identify and prioritize critical success factors (CSFs) influencing HC. A case study in Vietnam validates the robustness and practical applicability of the proposed model. The findings highlight economic factors—such as financial stability, data sharing, and innovation adoption—as key …
Quality Evaluation Of Immersive Virtual Reality Interactive Art Design Under Cultural Heritage Digitization Under Interval Valued Neutrosophic Numbers, Xing She, Ying Liu, Qian Liu, Le Zhang
Quality Evaluation Of Immersive Virtual Reality Interactive Art Design Under Cultural Heritage Digitization Under Interval Valued Neutrosophic Numbers, Xing She, Ying Liu, Qian Liu, Le Zhang
Neutrosophic Sets and Systems
The integration of disciplines has become a crucial issue that the entire society must deal with due to the economy's and society's rapid development. Particularly for teaching art and design, the new features of quickly iterative technology and the developing theory of the digital age presented new difficulties. Simultaneously, as computer hardware continues to advance, new simulation technologies are continually emerging, opening new avenues for creative design work. As a methodical endeavor, teaching art design should incorporate cutting-edge instructional strategies with scientific theories. This study proposes a multi-criteria decision-making (MCDM) approach to evaluate the immersive virtual reality interactive art design …
Quality Assessment Of Innovation And Entrepreneurship Talent Cultivation In Universities From The Perspective Of Collaborative Education Under Triangular Neutrosophic Cubic Linguistic Hesitant Fuzzy Set, Qing Tan, Chengcheng Wu, Xuan Li, Yao Yao
Quality Assessment Of Innovation And Entrepreneurship Talent Cultivation In Universities From The Perspective Of Collaborative Education Under Triangular Neutrosophic Cubic Linguistic Hesitant Fuzzy Set, Qing Tan, Chengcheng Wu, Xuan Li, Yao Yao
Neutrosophic Sets and Systems
A technique for representing mathematical models of confusion, ambiguity, confusion, inconsistency, and inconsistency, neutrophilic logic is built on non-standard analysis. While truth membership, indeterminacy membership, and falsity membership are independent, indeterminacy is explicitly quantified in the Neutrosophic set. In many circumstances where we deal with conflicting and partial information, this is crucial. Differential equations are widely used in science and engineering to represent issues, and one of the newest areas of study is the study of differential equations with uncertainty. We used the Triangular Neutrosophic Cubic Linguistic Hesitant Fuzzy Set with the decision-making methods. Two methods are used in this …
Type-2 Neutrosophic Sets (T2nss) For Quality Evaluation Of Project-Based Art And Design Courses: Evaluation Seven Projects, Ruijuan Zhang
Type-2 Neutrosophic Sets (T2nss) For Quality Evaluation Of Project-Based Art And Design Courses: Evaluation Seven Projects, Ruijuan Zhang
Neutrosophic Sets and Systems
Conflicting objectives for alternatives must be valued in a decision-making process, and the optimal option must be chosen based on the decision-makers requirements. For this selection, multi-objective optimization techniques might offer a solution. The purpose of this study is to introduce two relatively new multi-objective optimization techniques: multi-objective optimization based on simple ratio analysis (MOOSRA) and Entropy methods. This study uses the multi-criteria decision-making method (MCDM) to evaluate the project-based art and design courses. The entropy method is used to compute the criteria weights and the MOOSRA method is used to rank the alternatives. The MCDM method is used under …
Similarity Measure And Sine Exponential Measure Of Possibility Interval-Valued Neutrosophic Hypersoft Sets And Their Applications, Eman Hussein, Yousef Al-Qudah, Hm Jaradat, Faisal Al-Sharqi, Saja Elnajar, Ali Jaradat
Similarity Measure And Sine Exponential Measure Of Possibility Interval-Valued Neutrosophic Hypersoft Sets And Their Applications, Eman Hussein, Yousef Al-Qudah, Hm Jaradat, Faisal Al-Sharqi, Saja Elnajar, Ali Jaradat
Neutrosophic Sets and Systems
The Hypersoft set (HSS) has been created as an extension of a soft set (SS) in order to address limitations for the thought of disjoint attribute-valued sets corresponding to distinct attributes. The HSSs melted with several fuzziness structures present in literature to handle real-world scenarios with complexity and uncertainty. One such extension is the interval-valued neutrosophic hypersoft set (iv-NHSS), which focuses on the partitioning of each attribute into its attribute-valued set with these attribute-valued sets, three iv-NHS memberships degree line closed interval [0,1]. However, the iv-NHSS model is short of assessing the vague nature of parameters and sub-parameters that cause …
New Approach Single Valued Neutrosophic Sets For Teaching Quality Challenges Evaluation In College Public English Broad Impacts, Xiao Ma
Neutrosophic Sets and Systems
Previous research on teaching quality challenges in college public English has relied on methods that accept vague or fuzzy inputs. Single-valued neutrosophic Sets (SVNSs) are used to handle uncertain or unclear expert assessments by allowing both precise and imprecise data to be analyzed together. This approach ensures that valuable information is not lost during the evaluation process. To improve decision-making in multi-criteria decision-making (MCDM) problems, this study introduces a new integrated framework that combines the EDAS method with the MEREC method for criteria weight computation under the SVNS environment. The MEREC method is applied to determine the importance of each …
Rethinking Reverse Logistics: Neutrosophic Strategies For Warehouse Management Challenges, Thanh- Ngan Le, Quoc-Hieu Phan, Phi Hung Nguyen, Lan-Anh Thi Nguyen
Rethinking Reverse Logistics: Neutrosophic Strategies For Warehouse Management Challenges, Thanh- Ngan Le, Quoc-Hieu Phan, Phi Hung Nguyen, Lan-Anh Thi Nguyen
Neutrosophic Sets and Systems
Implementing warehouse management platforms (WMPs) in Vietnam's smart reverse logistics (SRL) sector faces numerous barriers, hindering operational efficiency and competitiveness. This study develops a robust multi-stage decision-making framework to identify, analyze, and address these barriers, filling a critical research gap in SRL practices. The proposed model integrates Neutrosophic Sets (NS) for managing uncertainties in expert evaluations with the Decision-Making Trial and Evaluation Laboratory (DEMATEL) method to examine cause-and-effect relationships among barriers. Additionally, the Neutrosophic Combined Compromise Solution (NS COCOSO) method ranks solutions for overcoming these challenges. In the first stage, key barriers—such as insufficient strategic planning, lack of expertise in …
High-Quality Development Evaluation Of Cultural And Tourism Integration Empowered By The Digital Economy Under Double Valued Neutrosophic Sets, Jun Wang, Xiong Hu
High-Quality Development Evaluation Of Cultural And Tourism Integration Empowered By The Digital Economy Under Double Valued Neutrosophic Sets, Jun Wang, Xiong Hu
Neutrosophic Sets and Systems
This study proposed a decision-making approach to evaluate the cultural and tourism integration empowered by the digital economy. Two methods are used in this study, such as Entropy method to compute the criteria weights and the MABAC method to rank the alternatives. These methods are used under the neutrosophic sets. Neutrosophic sets (NSs) are used to represent ambiguous, inconsistent, and unpredictable data that arise in practical issues. Indeterminacy leaning toward truth membership and indeterminacy leaning toward falsity membership are two separate components of double-valued neutrosophic sets (DVNSs), a variant of NSs. Three experts have evaluated the criteria and alternatives. Ten …
Isotopic Properties Of Neutrosophic Soft Quasigroup And Its Application In Decision-Making, Benard Osoba, Oyebo Tunde Yakub, Abdulkareem Abdulafeez Olalekan, Oyewole Oluwapamilerin, Adenibuyan Micheal Tokunbo, Oluwatobi Balogun, Adekola Lanrewaju Olumide
Isotopic Properties Of Neutrosophic Soft Quasigroup And Its Application In Decision-Making, Benard Osoba, Oyebo Tunde Yakub, Abdulkareem Abdulafeez Olalekan, Oyewole Oluwapamilerin, Adenibuyan Micheal Tokunbo, Oluwatobi Balogun, Adekola Lanrewaju Olumide
Neutrosophic Sets and Systems
A Q-neutrosophic soft quasigroup (ϕ Q, A) represents a novel mathematical framework designed to address scenarios characterized by indeterminate occurrences. This paper seeks to extend the classical examination of quasigroups to include Q-neutrosophic soft quasigroups. It provides a thorough investigation into isotopism, homomorphism, isomorphism, and the direct product concerning the hybrid concept of neutrosophic soft sets under a non-associative structure. This research expands the concept of the Q-set to a groupoid, which facilitates the development of an algorithm for Q-neutrosophic soft quasigroups. The definitions of isotopism and homomorphism for Q-neutrosophic soft quasigroups are introduced, revealing that every isotope of a …
Group Decision-Making Model Based On Triangular Neutrosophic Sets For Service Quality Evaluation In Tourism Mobile E-Commerce, Ying Liu
Neutrosophic Sets and Systems
Triangular fuzzy numbers are frequently used by experts to assess their opinions in the group decision-making (GDM) paradigm. In this research, we used neutrosophic because preference connections with triangular fuzzy numbers are consistent. In GDM, it is crucial to consider the degree of consensus and the consistency of expert opinion. The idea of additive approximation consistency is put out for triangular neutrosophic Sets (TNSs) additive reciprocal matrices to differentiate the typical consistency. The GDM methodology is used to evaluate tourism mobile e-commerce services to select the best one. Two methods are used in this study such as SWARA is used …
Bipolar Neutrosophic Driven Approach For Assessing The Teaching Quality Of English Language And Literature Learning Outcomes, Keyan Zhao
Neutrosophic Sets and Systems
The quality of teaching in English Language and Literature is a crucial factor in enhancing student learning outcomes, fostering critical thinking, and promoting linguistic and literary proficiency. Nevertheless, the procedure of assessing the quality of English teaching remains a thought-provoking task since it typically depends on individual judgments, variety in criteria, and inconsistency in human observation, resulting in intrinsic uncertainty. Bipolar Neutrosophic Sets (BNS) offer an expressive way to model ambiguity in a bipolar manner using three positive and three negative memberships. Motivated by that, we propose to explore the novel approach based on BNS to improve the judgmental process …
Andean Epistemology, Ch’Ixi, And Neutrosophic Logic, Maikel Y. Leyva Vázquez, Florentin Smarandache
Andean Epistemology, Ch’Ixi, And Neutrosophic Logic, Maikel Y. Leyva Vázquez, Florentin Smarandache
Neutrosophic Sets and Systems
This article explores the potential of Andean epistemology—rooted in principles of complementarity (yanantin), interdependence, and indeterminacy—to enrich contemporary science and artificial intelligence (AI). By transcending binary logic through concepts like ch’ixi (simultaneous coexistence of opposites) and yanantin, Andean thought aligns with Florentin Smarandache’s neutrosophic logic, a system that formalizes truth (T), falsehood (F), and indeterminacy (I) to navigate ambiguity. Smarandache’s MultiAlism, which emphasizes the coexistence of multiple perspectives, further resonates with Andean cosmovision, offering a framework to reinterpret mythology and folklore beyond rigid dualities. Integrating these principles into AI could foster systems that better handle uncertainty, cultural context, and ethical …
Inverse Fractional Function Setting Sine Trigonometric Neutrosophic Set Approach To Interaction Aggregating Operators, Murugan Palanikumar, Nasreen Kausar, Tonguc Cagin
Inverse Fractional Function Setting Sine Trigonometric Neutrosophic Set Approach To Interaction Aggregating Operators, Murugan Palanikumar, Nasreen Kausar, Tonguc Cagin
Neutrosophic Sets and Systems
In this paper we present novel techniques for the interacting aggregating operator of the inverse fractional function sine trigonometric neutrosophic set. Swapping the input and output variables and solving for the original input variable in terms of the original output variable are the steps involved in determining the inverse of a function. The innovative averaging and geometric operations of inverse fractional function sine trigonometric neutrosophic numbers are studied using the universal aggregation function. The inverse fractional function sine trigonometric neutrosophic set is idempotent, boundedness compatible, associative and commutative. Four new aggregating operators are introduced: inverse fractional function sine trigonometric neutrosophic …
Advanced Machine Learning Approaches For Breast Cancer Detection With Neutrosophic Sets, Hussam Elbehiery, Hanaa Fathi, Mohamed Eassa, Ahmed Abdelhafeez, Mohamed Refaat Abdellah, Hadeer Mahmoud
Advanced Machine Learning Approaches For Breast Cancer Detection With Neutrosophic Sets, Hussam Elbehiery, Hanaa Fathi, Mohamed Eassa, Ahmed Abdelhafeez, Mohamed Refaat Abdellah, Hadeer Mahmoud
Neutrosophic Sets and Systems
Breast Cancer (BC) remains a significant health challenge for women and is one of the leading causes of mortality worldwide. Accurate diagnosis is critical for successful therapy and increased survival rates. Recent advances in medical imaging and computational technologies have enabled more precise methods of detecting and evaluating breast cancer. Accurate analysis and diagnosis utilizing medical imaging have developed as essential research topics, providing important help in clinical decision making for various illnesses, including breast cancer. Machine learning (ML) can accurately predict breast cancer. But the breast cancer data has vague and uncertainty information. So, the neutrosophic sets (NSs) are …
Characterization Of Interaction Aggregating Operators Setting Interval-Valued Pythogorean Neutrosophic Set, Raed Hatamleh, Ahmed Salem Heilat, M. Palanikumar, Abdallah Al-Husban
Characterization Of Interaction Aggregating Operators Setting Interval-Valued Pythogorean Neutrosophic Set, Raed Hatamleh, Ahmed Salem Heilat, M. Palanikumar, Abdallah Al-Husban
Neutrosophic Sets and Systems
In this work, we present novel techniques for the interval-valued Pythogorean neutrosophic interaction aggregating operator. A hybrid of the neutrosophic set and the interval-valued Pythogorean fuzzy set. The innovative averaging and geometric operations of interval-valued Pythogorean neutrosophic interaction numbers are studied using aggregation operator. The interval-valued Pythogorean neutrosophic interaction is boundedness compatible, idempotent, associative, and commutative. Four new aggregating operators are introduced: IPNI weighted averaging operator, interval-valued Pythogorean neutrosophic interaction weighted geometric operator, generalized interval-valued Pythogorean neutrosophic interaction weighted averaging and generalized interval-valued Pythogorean neutrosophic interaction weighted geometric.