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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 Apr 2025

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 …

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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 Apr 2025

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 …

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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 Apr 2025

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 …

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Type-2 Neutrosophic Sets (T2nss) For Quality Evaluation Of Project-Based Art And Design Courses: Evaluation Seven Projects, Ruijuan Zhang Apr 2025

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 …

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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 Apr 2025

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 …

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New Approach Single Valued Neutrosophic Sets For Teaching Quality Challenges Evaluation In College Public English Broad Impacts, Xiao Ma Apr 2025

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 …

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Rethinking Reverse Logistics: Neutrosophic Strategies For Warehouse Management Challenges, Thanh- Ngan Le, Quoc-Hieu Phan, Phi Hung Nguyen, Lan-Anh Thi Nguyen Apr 2025

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 …

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High-Quality Development Evaluation Of Cultural And Tourism Integration Empowered By The Digital Economy Under Double Valued Neutrosophic Sets, Jun Wang, Xiong Hu Apr 2025

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 …

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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 Apr 2025

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 …

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Group Decision-Making Model Based On Triangular Neutrosophic Sets For Service Quality Evaluation In Tourism Mobile E-Commerce, Ying Liu Apr 2025

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 …

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Bipolar Neutrosophic Driven Approach For Assessing The Teaching Quality Of English Language And Literature Learning Outcomes, Keyan Zhao Apr 2025

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 …

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Andean Epistemology, Ch’Ixi, And Neutrosophic Logic, Maikel Y. Leyva Vázquez, Florentin Smarandache Apr 2025

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 …

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Inverse Fractional Function Setting Sine Trigonometric Neutrosophic Set Approach To Interaction Aggregating Operators, Murugan Palanikumar, Nasreen Kausar, Tonguc Cagin Apr 2025

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 …

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Advanced Machine Learning Approaches For Breast Cancer Detection With Neutrosophic Sets, Hussam Elbehiery, Hanaa Fathi, Mohamed Eassa, Ahmed Abdelhafeez, Mohamed Refaat Abdellah, Hadeer Mahmoud Apr 2025

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 …

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Characterization Of Interaction Aggregating Operators Setting Interval-Valued Pythogorean Neutrosophic Set, Raed Hatamleh, Ahmed Salem Heilat, M. Palanikumar, Abdallah Al-Husban Apr 2025

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.

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Expanded Triangular Fuzzy Neutrosophic Numbers For Safety Risk Evaluation Of Urban Rail Transit Engineering: An Innovative Method For Better Risk Assessment, Xiuli Liu Apr 2025

Expanded Triangular Fuzzy Neutrosophic Numbers For Safety Risk Evaluation Of Urban Rail Transit Engineering: An Innovative Method For Better Risk Assessment, Xiuli Liu

Neutrosophic Sets and Systems

Safety assessment of urban rail transit (URT) operations plays a crucial role not only in shaping passenger travel choices but also in urban development planning. The findings of such assessments are valuable for both passengers and transport operators. In this study, we propose an integrated multi-stage evaluation framework to assess URT operations from a safety perspective. This framework considers decision-makers' (DMs') risk preferences and the uncertainty of available information. We employ two key methods: the CRITIC method to determine the weights of evaluation criteria and the MOORA method to rank the alternatives. Both methods operate within the framework of triangular …

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A Neutrosophic Model For Assessing The Impact Of Artificial Intelligence On Civil Liability, María Gracia Paredes-Morales, Gino Joel Alberdy-Rodriguez, Susy Grey Morales-Cobos, Dessire Amandiz Castro-Valderrama, Gloria Angélica Valderrama-Barragán, Edwin Favio Valderrama-Barragán Apr 2025

A Neutrosophic Model For Assessing The Impact Of Artificial Intelligence On Civil Liability, María Gracia Paredes-Morales, Gino Joel Alberdy-Rodriguez, Susy Grey Morales-Cobos, Dessire Amandiz Castro-Valderrama, Gloria Angélica Valderrama-Barragán, Edwin Favio Valderrama-Barragán

Neutrosophic Sets and Systems

The creation of Artificial Intelligence (AI) tools has grown exponentially in recent years. The number of these tools, their capabilities to solve problems and the number of people who use them are increasing rapidly. This constitutes a positive advance for humanity; however, there is also a negative side that can arise from its inappropriate use. To avoid the problems that may arise with the improper use of AI, it is necessary to have a regulatory legal framework that offers the guidelines to follow for evaluating the AI tools that arise and the civil and criminal consequences for those who fail …

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Adaptive Triangular Linguistic Neutrosophic Cubic Fuzzy Sets For College English Blended Teaching Mode Evaluation Method, Hongxia Cui Apr 2025

Adaptive Triangular Linguistic Neutrosophic Cubic Fuzzy Sets For College English Blended Teaching Mode Evaluation Method, Hongxia Cui

Neutrosophic Sets and Systems

This paper presents a proactive strategy that employs a multiple-criteria decision-making (MCDM) model as an evaluation tool. To assess online and offline blended teaching modes for college English, we propose an evaluation framework called CIMAS-COBRA, which integrates the Criteria Importance Assessment (CIMAS) method for determining criteria weights and the Cost Estimation, Benchmarking, and Risk Assessment (COBRA) method for ranking alternatives. Both methods operate under the Triangular Linguistic Neutrosophic Cubic Fuzzy Sets framework to handle uncertain and vague data. Seven criteria and ten alternatives are examined in this study. The Triangular Linguistic Neutrosophic Cubic Fuzzy Number approach is employed to evaluate …

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The Numerical Applications Of (Abm) And (Amm) Numerical Methods On Some Neutrosophic And Dual Problems, Ahmed Salem Heilat Apr 2025

The Numerical Applications Of (Abm) And (Amm) Numerical Methods On Some Neutrosophic And Dual Problems, Ahmed Salem Heilat

Neutrosophic Sets and Systems

The objective of this paper is to present two neutrosophic numerical methods for finding the numerical solutions for some neutrosophic differential equations, where a numerical comparison between AMM and ABM methods with numerical tables that clarify some numerical results of the previous two methods applied on some neutrosophic initial value problems IVP. Also, we apply the same methods on dual variables problems, and we will show that they will give us the same numerical results

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Landscape Design Quality Evaluation Of Abandoned Coal Mine Sites Using Single-Valued Triangular Neutrosophic Numbers, Ye Liang Apr 2025

Landscape Design Quality Evaluation Of Abandoned Coal Mine Sites Using Single-Valued Triangular Neutrosophic Numbers, Ye Liang

Neutrosophic Sets and Systems

This research uses Single-Valued Triangular Neutrosophic Numbers (SVTNNs) to address uncertainty and vague problems in the Abandoned Coal Mine Sites evaluation. By adjusting the subjective assessments, Single-Valued Triangular Neutrosophic Numbers handle degrees of affiliation and disassociation as well as additional unclear degrees of neutral opinion. The WENSLO approach is used to compute criteria weights. To develop a hybrid model that handles ambiguity more adaptable, this study combines the WENSLO method with the Single Valued Triangular Neutrosophic Numbers-based REGIME strategy. In conclusion, we used these methods to confirm the precision of the calculations made using the suggested approach. The fundamental idea …

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Enhancing Missing Data Imputation For Migrants Data: A Neutrosophic Set-Based Machine Learning Approach, Doaa A. Abdo, A. A. Salama, Alaa A. Abdelmegaly, Hanan Khadari Mahdi Mahmoud Apr 2025

Enhancing Missing Data Imputation For Migrants Data: A Neutrosophic Set-Based Machine Learning Approach, Doaa A. Abdo, A. A. Salama, Alaa A. Abdelmegaly, Hanan Khadari Mahdi Mahmoud

Neutrosophic Sets and Systems

This study tackles the problem of missing data in migrant datasets by introducing a new framework that combines machine learning techniques with neutrosophic sets. These sets, which can represent uncertainty and ambiguity, are well-suited for managing the complex nature of missing information in sensitive fields like migration research. We test the effectiveness of KNN, SVM, decision tree, random forest, and Ada Boost algorithms on a migrant dataset, comparing their results using different imputation methods (mean/mode, model-based imputer (simple tree), and random values). Our research showed that our proposed approach, which used neutrosophic sets, improved imputation accuracy and strengthened model reliability. …

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Practical Overview Of Triangular Bipolar Neutrosophic Numbers For Design Effect Evaluation Of Ethnic Minority Clothing: Comprehensive Guide, Haiting Chen Apr 2025

Practical Overview Of Triangular Bipolar Neutrosophic Numbers For Design Effect Evaluation Of Ethnic Minority Clothing: Comprehensive Guide, Haiting Chen

Neutrosophic Sets and Systems

This paper offers a novel multi-criteria decision-making (MCDM) paradigm to handle the problem of assessing and prioritizing design effect evaluation of ethnic minority clothing. The framework incorporates the ARTASI (Alternative Ranking Technique based on Adaptive Standardized Intervals) technique for objective alternative evaluation and CRITIC method for robust weight determination. This novel method, CRITIC-ARTASI, makes use of a unique algorithm for logical reasoning and makes it easier to make decisions while designing effect evaluation of ethnic minority clothing. 7 Criteria and 13 are used in this study. Sensitivity studies were used to thoroughly assess the correctness and stability of the suggested …

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Human Capital And Innovation In Developed And Developing Countries: A Systematic Literature Review Using Methodi Ordinatio And Hypersoft Sets, Leonardo José España-Barraza, Efraín Javier De-La-Hoz-Granadillo, Katia Ninozca Flores-Ledesma Apr 2025

Human Capital And Innovation In Developed And Developing Countries: A Systematic Literature Review Using Methodi Ordinatio And Hypersoft Sets, Leonardo José España-Barraza, Efraín Javier De-La-Hoz-Granadillo, Katia Ninozca Flores-Ledesma

Neutrosophic Sets and Systems

This article aims to analyze the influence of human capital on innovation. To achieve this, the Methodi Ordinatio methodology was used. The search for scientific articles was done using the Scopus and Web of Science databases. Only documents published between 2013 and 2023 were selected. The systematic review of the literature shows that human capital is relevant in promoting innovation in any type of economy; however, the impact may vary depending on the economic and regional context being studied. The data obtained are analyzed with the help of the hybridization of the Methodi Ordinatio with the HyperSoft Sets theory. In …

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Clear Approach To Education Quality Evaluation Of Multilingual Higher Education Internationalization Under Probabilistic Simplified Neutrosophic Sets For Academic Improvement, Qing Li, Wenya Chen Apr 2025

Clear Approach To Education Quality Evaluation Of Multilingual Higher Education Internationalization Under Probabilistic Simplified Neutrosophic Sets For Academic Improvement, Qing Li, Wenya Chen

Neutrosophic Sets and Systems

An integrated multi-criteria decision-making (MCDM) approach is used in this study to evaluate multilingual higher education internationalization. This study is the first to employ a novel combination technique that has not yet been used for corporate performance evaluation. It is based on root assessment method (RAM) and indifference threshold-based attribute ratio analysis (ITARA) methodologies. The weights of the criteria are determined using the ITARA approach, and the RAM method is used to rank the alternatives. these methods are used under the neutrosophic sets to deal with vague and uncertainty data. This study uses the Probabilistic Simplified Neutrosophic sets to overcome …

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Effective Approach To Shock Absorption Performance Evaluation Of Mechanical Component Springs Using The Single Valued Trapezoidal Neutrosophic Numbers For Structural Stability, Hanwei Qu, Caiyun Duan, Jiancheng Yu Apr 2025

Effective Approach To Shock Absorption Performance Evaluation Of Mechanical Component Springs Using The Single Valued Trapezoidal Neutrosophic Numbers For Structural Stability, Hanwei Qu, Caiyun Duan, Jiancheng Yu

Neutrosophic Sets and Systems

We propose a decision-making approach for shock absorption performance evaluation of mechanical component springs. The main goal of this research is to provide a decision support system that will help decision makers to select the best alternative to alleviate this ambiguity. The selection of the best alternative is done using the multi-attribute group decision-making approach. The hybrid model is created utilizing two-step logarithmic normalization (ARLON) and Single Valued Trapezoidal Neutrosophic Numbers (SVTNNs) for MEREC and alternative ranking. The criteria's relevance levels are ascertained using the innovative SVTNN-MEREC approach. The alternatives are ranked using the recently developed SVTNN-ARLON technique. The suggested …

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Fixed Point Theorems In Neutrosophic Fuzzy Metric Space And A Characterization To Its Completeness, Samriddhi Ghosh, Ramakant Bhardwaj, Satyendra Narayan, Sonam Sonam Apr 2025

Fixed Point Theorems In Neutrosophic Fuzzy Metric Space And A Characterization To Its Completeness, Samriddhi Ghosh, Ramakant Bhardwaj, Satyendra Narayan, Sonam Sonam

Neutrosophic Sets and Systems

The present research work aims to establish some basic conventional fixed point theorems such as the Banach fixed point theorem, Edelstein fixed point theorem and Kannan fixed point theorem, for a recently introduced topological space, known as the neutrosophic fuzzy metric space. The Kannan fixed point theorem has also further been classified into two categories namely, (1/2)−Kannan and (1)−Kannan fixed point theorems. Also the concept of semi-metric in the said space has been introduced, and along with it the results hence obtained are used to characterize the completeness of the mentioned space. To the best of known literatures, this type …

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Application Of The Neutrosophic Fuzzy Sets In Profession Determination, K. Rajesh, S. Moorthy, A. Jeeva, D. Moganraj Apr 2025

Application Of The Neutrosophic Fuzzy Sets In Profession Determination, K. Rajesh, S. Moorthy, A. Jeeva, D. Moganraj

Neutrosophic Sets and Systems

We present several operations, such as algebraic sum, algebraic product, and arithmetic mean, over the neutrosophic sets extended with moment in time and sketch numbers. Through mathematical illustrations, we explore various properties and apply this concept to professional decision-making. Existing neutrosophic set (NS) and fuzzy set theories lack the capability to dynamically account for time and evolving circumstances. Many approaches fail to provide satisfactory solutions for handling evolving decision criteria or dynamic uncertainties. While operations like algebraic sum, algebraic product, and arithmetic mean exist for neutrosophic sets, their adaptation and extension to dynamic and temporal dimensions (moment in time and …

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Solving A Global-Mixed Integer Signomial Geometric Fractional Programming Problem, J. Shirin Nejad, M. Saraj Apr 2025

Solving A Global-Mixed Integer Signomial Geometric Fractional Programming Problem, J. Shirin Nejad, M. Saraj

Neutrosophic Sets and Systems

This article addresses mixed integer fractional signomial geometric programming (MIFSGP) problems, which have been widely used in industrial design. In this paper, first, we convert fractional signomial programming into a nonfractional problem so that it maintains its geometric structure. Then, convex relaxation is used to reach a mixed integer global solution. Although, in many cases, we obtain a better objective function value with this process, designers may still be dissatisfied with the rupture between the original objective function value and the relaxed value. Therefore, we apply a spatial branch and bound algorithm to decrease that distance to an acceptable extent …

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The Potential Of Alliances For Regional Productive Development From The Tutorial Centers Of The University Of Cartagena Measured With The Support Of Plithogenic Swot Analysis, Edgardo Antonio Carmona-Arrieta, Katia Ninozca Flores-Ledesma, Álvaro Andrés Escobar-Espinoza, Abrahan Cesar Neri-Ayala, Pedro Barrientos-Gutiérrez, Pablo José Guerrero Apr 2025

The Potential Of Alliances For Regional Productive Development From The Tutorial Centers Of The University Of Cartagena Measured With The Support Of Plithogenic Swot Analysis, Edgardo Antonio Carmona-Arrieta, Katia Ninozca Flores-Ledesma, Álvaro Andrés Escobar-Espinoza, Abrahan Cesar Neri-Ayala, Pedro Barrientos-Gutiérrez, Pablo José Guerrero

Neutrosophic Sets and Systems

The University of Cartagena in Colombia, with its 104 recognized research groups in various fields such as health, social sciences, engineering, basic sciences, environment, and sustainable development, expands its academic reach by establishing Tutorial Centers in Bolívar and Córdoba. The objective of these centers is to offer distance learning opportunities, thus increasing access to education for the local population. This study explores the potential of forming strategic alliances with the productive sector, taking advantage of the resources and strategic benefits of these centers. In this paper, we measure the po tentialities, based on the Plithogenic SWOT Analysis. The SWOT analysis …

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Risk Assessment Of Municipal Water Supply And Drainage Project Costs Using Neutrosophic Numbers, Huihui Gao, Kun Qian Apr 2025

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. …

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