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Neutrosophic normal vague set fitting to trigonometric concept via aggregation operators and its augmentation
No full textUsing 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 pape
Linguistic Neutrosophic Sets with Application to Group Decision-Making to Enhance the Work Effectiveness Evaluation of University Counselors
No full textThe evaluation of university counselors\u27 work effectiveness in the new era aims to assess their performance in areas such as ideological and political education (IPE), psychological counseling, academic support, and daily management. The evaluation typically includes counselors\u27 performance in guiding students’ thoughts, promoting mental health, crisis intervention, and career planning. A scientific and comprehensive evaluation system can improve the quality of counselors\u27 work and promote students\u27 holistic development. The work effectiveness evaluation of university counselors is multiple-attribute group decision-making (MAGDM). Recently, Exponential TODIM (ExpTODIM) and TOPSIS approaches have been introduced to address MAGDM. The 2-tuple linguistic neutrosophic sets (2TLNSs) have emerged as a powerful tool for representing uncertain data, particularly in the evaluation of university counselors\u27 work effectiveness. In this paper, we propose a 2-tuple linguistic neutrosophic Exponential TODIM-TOPSIS (2TLNN-ExpTODIM TOPSIS) approach to solve MAGDM problems with 2TLNSs. A numerical study on the work effectiveness evaluation of university counselors is presented to validate the 2TLNN-ExpTODIM TOPSIS approach. The major contributions of this research are outlined: (1) Information entropy based on score and accuracy functions is developed using 2TLNSs to determine weight information; (2) The 2TLNN-ExpTODIM-TOPSIS approach is integrated to handle MAGDM; (3) An illustrative example of university counselors\u27 work effectiveness evaluation is provided to demonstrate the 2TLNN-ExpTODIM-TOPSIS method; (4) Comparative analyses are conducted to verify the effectiveness of the 2TLNN-ExpTODIM-TOPSIS approach
, SuperHyperSoft-Driven Evaluation of Smart Transportation in Centroidous-Moosra: Real-World Insights for the UAV Era
No full textOver recent decades unmanned aerial vehicles (UAVs) have significantly impacted many areas and applications that affect our daily lives. Such as transportation, healthcare, and agricultural surveillance and management. Along with intelligently digitizing these sectors. Hence, this study focuses on exhibiting UAVs\u27 contributions to transportation systems to be smart. An intelligent decision-maker framework is constructed to evaluate smart transportation systems (STSs) that leverage UAVSs in their operations. Preferencing candidates of STSs conduct the evaluation process based on a set of criteria and attributes. Moreover, the new multi-criteria decision-making (MCDM) of centroidous to obtain criteria attribute weights. As well as Multi-objective optimization on the basis of simple ratio analysis (Moosra) leverages the generated weights to rank STSs and recommend optimal STS. These MCDM techniques collaborated with the uncertainty theory of Single Value Neutrosophic Sets (SVNSs) to enhance decisions in ambiguous situations. Along with Moosra-SVNSs are integrating in the ranking process under the dominance of SuperHyperSoft (SHS) environment which depends on a set of hypersoftsets formed into a set of possibilities. Hence, we applied six possibilities in our constructed framework
A Python Framework Enhancement for Neutrosophic Topologies
No full textThis paper introduces an extension to the Python Neutrosophic Sets (PYNS) framework, originally detailed in [13], with the addition of the NSfamily class for constructing and manipulating neutrosophic topologies. Building on existing classes like NSuniverse and NSset, the NSfamily class enables the definition and testing of neutrosophic families as basis and sub-basis for neutrosophic topological spaces. This extension provides tools for verifying closure properties under union and intersection, and for determining whether a given family constitutes a neutrosophic topology. Through implemented algorithms, the framework automates the generation of topologies from families of neutrosophic sets, offering an efficient tool for advancing research in neutrosophic topology. Practical applications are demonstrated with detailed examples, showcasing how this class enhances the scope and flexibility of neutrosophic modeling within the PYNS framework
Quality Assessment in Higher Education Management using the Modified MARCOS Method with Double-Valued Neutrosophic Numbers: A Case Study
No full textQuality is the core and soul of educational management, and educational management is the carrier of quality. Only by improving the efficiency and quality of educational management can we promote the healthy and long-term development of higher education. In the new era, universities should actively introduce education quality assurance theory and advanced management concepts, reform the education management quality assurance system, and thus play multiple educational functions such as enrollment management, student training, degree awarding, and quality evaluation. Based on the theoretical and event exploration of the quality assurance path of higher education management, China\u27s higher education will inevitably embark on a unique path of innovative development. The quality assessment of higher education management is considered a multiple-attribute decision-making (MADM) problem. Recently, the MARCOS approach has been utilized to advance MADM approaches. Double-valued neutrosophic sets (DVNSs) serve as optimal decision-making approaches to represent uncertainty in data during the evaluation of higher education management in academic institutions. In this research, the MARCOS approach is developed for MADM using DVNSs. Subsequently, the double-valued neutrosophic number MARCOS (DVNN-MARCOS) approach is proposed for MADM. Finally, a numerical example is provided to validate the DVNN-MARCOS model in the context of quality evaluation for higher education management
An Efficient Neutrosophic Weighted Sum Approach with Insights into Engineering Project Management Performance Assessment
No full textProject engineering management performance evaluation is a systematic assessment of various tasks in the project management process to measure performance in areas such as efficiency, quality, schedule, and cost control. Through evaluation, strengths and weaknesses in management can be identified, ensuring the achievement of project objectives and optimizing resource allocation. This evaluation not only helps improve the overall management level of engineering projects but also provides valuable experience and insights for future projects, thereby facilitating smooth implementation and successful delivery. The project engineering management performance evaluation is multiple-attribute decision-making (MADM). Recently, the weighted sum method (WSM) method has been established to cope with MADM issues. The triangular fuzzy neutrosophic sets (TFNSs) are established as a tool for characterizing uncertain data during the project engineering management performance evaluation. In this manuscript, the triangular fuzzy neutrosophic number WSM (TFNN-WSM) method is established to solve the MADM under TFNSs. In the end, a numerical case study for project engineering management performance evaluation is given to validate the proposed method
Improved MAUT Framework for Quality Evaluation of University Party Building Work in the New Era Based on the Interval Neutrosophic Multi-Attribute Group Decision-Making
No full textIn the new era, the evaluation of the quality of party-building work in universities focuses on strengthening political, ideological, and organizational construction. By using a scientific evaluation system, it ensures the implementation of Party theories and policies. It emphasizes innovative methods to enhance Party members\u27 ideological awareness and organizational skills, promoting the integration of Party building with education. This ensures the Party\u27s leadership plays a central role in all university activities, driving comprehensive development. The quality evaluation of university party building work in the new era is a multi-attribute group decision-making (MAGDM) problem. Recently, both the MAUT method and the average approach have been applied to solve MAGDM challenges. Interval Neutrosophic Sets (INSs) are utilized to represent uncertain data during the quality evaluation of university party building work in the new era. In this study, the MAUT method is adapted for MAGDM with INSs. Furthermore, the Interval Neutrosophic Number MAUT (INN- MAUT) approach is developed for MAGDM. The average approach is used to determine the criteria weights within the INS framework. Finally, a numerical example is provided to demonstrate the application of the INN- MAUT approach in the quality evaluation of university party-building work in the new era. The key contributions of this study include: (1) the development of a MAGDM method using the INN- MAUT approach with INSs, (2) the application of the average method to compute weights under INSs, and (3) the proposal of a novel MAGDM approach for quality evaluation of university party building work in the new era using the INN- MAUT method
Neutrosophic Dynamic Network DEA: Efficient Allocation of Carryover Variables in Organizational Processes
No full textCarryover activities in dynamic DEA refer to the persistence of resources, inputs, or outputs across periods in organizational processes, reflecting the impact of past decisions on current and future performance. In practical applications, some carryover variables can extend beyond the immediate next period, and their allocation is discretionary, controlled by the Decision-Maker (DM). This paper introduces a novel dynamic network DEA (DNDEA) model aimed at optimizing the allocation of these carryovers and identifying inefficiencies within a network system across multiple evaluation periods. Recognizing the uncertainties present in real-world data, we incorporate neutrosophic sets to effectively process uncertain information, which adds complexity to our analysis. To address this, we transform the Neutrosophic Dynamic Network Slack-Based Measure (NDNSBM) model into a two-stage framework. By leveraging the concept of Pareto efficiency, our model establishes boundaries for overall and period scores across varying levels of truth, indeterminacy, and falsity. The key contribution of this work is the introduction of discretionary carryover variables in DNDEA models, facilitating strategic allocation across future periods. Additionally, the integration of neutrosophic data provides a more realistic approach to dynamic decision making contexts. We validate our methodology through a numerical example evaluating the performance of Iranian bank branches, demonstrating that our proposed model is more discriminative and offers deeper insights into resource allocation strategies compared to the DNSBM model. This comprehensive approach enhances understanding of resource management in dynamic environments, offering valuable implications for decision-makers in various sectors
The First Resolution of the Travelling Salesman Problem under Neutrosophic Octagonal Fuzzy Environment
No full textThe Travelling Salesman Problem (TSP) is a challenging combinatorial optimization problem classified as NP-hard. Its objective is to identify the shortest cycle that visits every city precisely once before returning to the initial city. To the best of our knowledge there is no one in the literature who solved the TSP under the neutrosophic octagonal fuzzy environment. That’s why, in this paper the novel heuristic namely Dhouib-Matrix-TSP1 (DM-TSP1) is exploited to optimize the TSP under the neutrosophic octagonal fuzzy domain. So, this research work represents the first application of DM-TSP1 on this mentioned environment. A defuzzification function is used to convert neutrosophic octagonal fuzzy numbers to crisp ones then the four simple steps of DM-TSP1 are launched. A numerical example illustrating a step-by-step application of DM-TSP1 on novel created benchmark instances is provided to prove its performance and efficiency in solving the neutrosophic octagonal fuzzy TSP
On Consistent and Weak Transitive Neutrosophic Fuzzy Matrices
No full textThis paper delves into the properties of two specific types of Neutrosophic Fuzzy Matrices (NFM) namely consistent and weakly transitive NFM. A significant focus is placed on nilpotent and transitive NFM, highlighting their critical role in the analysis. It is demonstrated that these two types of matrices are controllable, and a formula is derived for determining the canonical form of a weakly transitive NFM. To support and clarify the findings, counterexamples are provided throughout the discussion. We introduce an operation on NFM, referred to as the Gödel implication operator. Utilizing this operator, we establish several significant results for NFM, with a particular emphasis on properties related to pre-orders. Our analysis focuses primarily on reflexive and transitive NFM, enabling us to derive meaningful insights. Additionally, we demonstrate a method for constructing an idempotent NFM from any given matrices