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    Neutrosophic Approaches for Analyzing the Interaction Between the Sports Industry and Community Health: A Multi-Attribute Decision-Making Perspective

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    In the context of integrating sports and medicine, the evaluation of collaborative development models in community healthcare and the sports health industry can be analyzed through four aspects: resource integration efficiency, health service coverage, improvement in residents\u27 health levels, and policy support and implementation effectiveness. These indicators help assess the model\u27s effectiveness and promote residents\u27 well-being and industry collaboration. The collaborative development patterns evaluation of community medical and sports health industry based on sports medicine integration is multiple-attribute decision-making (MADM). In such a study, the generalized weighted geometric Bonferroni mean (GWGBM) approach is conducted for MADM with single-valued neutrosophic sets (SVNSs). Then, the single-valued neutrosophic number generalized power weighted geometric BM (SVNNGPWGBM) approach is conducted and then the MADM decision approaches are put forward based on the GWGBM approach and power geometric (PG) approach we used the Maximizing Deviation Approach (MDA) to obtain the weights of criteria and rank the alternatives. Finally, an example of collaborative development patterns evaluation of community medical and sports health industry based on sports medicine integratio

    Hypersoft Set with Neutrosophic Sets for Quality Evaluation of Visual Communication Design Professional Courses

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    The quality evaluation of the Visual Communication program is a comprehensive assessment of course design, teaching effectiveness, and student learning outcomes. Through evaluation, the rationality of course content, achievement of teaching objectives, and effectiveness of teaching methods can be understood. It helps instructors improve their teaching strategies, ensuring that students acquire the necessary professional skills and theoretical knowledge. Additionally, evaluation results reflect whether the course keeps pace with industry trends and meets the needs of society and the market. Student feedback provides important references for course optimization, driving continuous improvement in teaching quality, and ultimately cultivating outstanding design talents who can adapt to industry development. The quality evaluation of visual communication design professional courses involves MAGDM. Currently, Multi-Objective Optimization Ratio Analysis (MOORA) approach has been utilized to address MAGDM challenges. To handle uncertain information during the quality evaluation of visual communication design professional courses, single valued neutrosophic sets (SVNSs) are conducted as a valuable tool. This paper introduces the implementation of the SVNSs MOORA approach to effectively manage MAGDM problems. Additionally, a numerical study is conducted to validate the application of this approach for quality evaluation of visual communication design professional courses

    Modeling Social Evolution, Involution, and Indeterminacy: A Neutrosophic-Cultural Algorithm Approach

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    Neutrosophic Sociology, or Neutrosociology, is the study of sociology using neutrosophic scientific methods for understanding the dynamics of social systems within complex environments. When a social change occurs, the society evolves with respect to some parameters, regresses with respect to others, and remains the same or experiences an unclear change (indeterminacy) with respect to another set of parameters. This mirrors neutrosophic logic: true (��), neutral or indeterminate (ℐ), and false (ℱ). The main concept of cultural algorithms is a generalization of the idea that evolution has at its base both racial learning within species and social learning within human societies. By employing a mathematical formulation that incorporates these theories, this study proposes a new framework, namely the Neutrosophic Theory of Cultural Evolution (NToCE), which analyzes how stakeholders can optimize their beliefs and actions in the face of uncertainty and conflicting interests. A real life scenario adopted from the neutrosophic social change due to technology as described in related bibliography, demonstrates the efficacy of this integrated neutrosophic framework in fostering collaborative decision-making, increasing flexibility, and promoting sustainability. The findings of our study reveal that adding neutrosophic principles into cultural algorithms considerably increases the robustness and resilience of social systems, allowing for more sophisticated modelling of stakeholder interactions and belief development

    A Comprehensive Discussion on Fuzzy Hypersoft Expert, Superhypersoft, and IndetermSoft Graphs

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    Graph theory, a branch of mathematics, studies relationships among entities through vertices and edges. To capture the inherent uncertainties in real-world networks, Uncertain Graph Theory has evolved within this field. Soft Expert Graphs combine conventional graph theory with expert assessments, using fuzzy sets for vertices and edges, while allowing expert opinions to shape the uncertainties and relationships within the graph. Hypersoft Graphs extend this concept further by incorporating multi-attribute nodes that represent multiple distinct attribute values, enabling the modeling of more complex, multi-dimensional relationships. In this paper, we define the Hypersoft Expert Graph and explore its connections to other classes of graphs. We also consider the SuperHypersoft Graph, TreeSoft Graph, and IndetermSoft Grap

    Combined Group Decision-Making Framework for Employment Quality Evaluation in Higher Education Institutions under Single-Valued Neutrosophic Sets

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    The evaluation of employment quality in higher education institutions refers to assessing graduates\u27 performance and employment status through multiple dimensions. It mainly includes employment rate, job satisfaction, salary levels, industry distribution, and career development prospects. This evaluation not only reflects the educational quality and social recognition of the institution but also provides valuable insights for optimizing teaching and training programs, helping graduates better meet the demands of the labor market. The employment quality evaluation in higher education institutions is a multi-attribute group decision-making (MAGDM) problem. Recently, the Exponential TODIM (ExpTODIM) and VIKOR methods have been applied to address MAGDM challenges. Single valued neutrosophic sets (SVNSs) are employed as a tool to represent uncertain data in the employment quality evaluation in higher education institutions. In this paper, we propose the single valued neutrosophic number Exponential TODIM-VIKOR (SVNN-ExpTODIM-VIKOR) method to solve MAGDM problems under SVNSs. Finally, a numerical case study is presented to validate the effectiveness of the proposed method in evaluating the employment quality in higher education institutions

    The Meaning of Independence in Local Institutions from Neutrosophic Perspective

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    t is well known that the term vagueness is spread in all aspects of our lives, this manuscript will clarify the meaning of independence (strict meaning of independence, the illusory meaning of independence, Oscillating between the true meaning of independence, and the fallacy of claiming independence and not applying it), this triplet actually refers to the three components that the Neutrosophic theory standing on which is (truthiness, falsity, indeterminacy), the strategy of applying the notion of independency in the local institutions, enlighten on the allegation of applying the independency notion in some governments’ institutions without a real impact of this term, and studying the meaning of independence from the perspective of a country legal system, all these issues and some comparisons in applying the term (independency) between some countries such as Iraq, France, Algeria, USA, etc. have been enclosed in this article

    Integrated INN-MACONT Framework with Interval Neutrosophic MAGDM: Enhancing Services Performance Evaluation in Library and Information Institutions from the Perspective of User Experience

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    From the perspective of user experience, the performance evaluation of services in library and information institutions focuses on the ease of use, satisfaction, and responsiveness to user needs. By analyzing the experiences users gain during service utilization, key factors such as convenience, personalization, and efficiency are assessed. User feedback serves as a core basis for improving service quality, helping institutions optimize service processes, enhance user engagement, and continuously innovate to better meet diverse user needs and expectations, ultimately maximizing the value of the services provided. The services performance evaluation in library and information institutions from the perspective of user experience is multiple-attribute group decision-making (MAGDM). Recently, the MACONT approach was illustrated to put forward MAGDM. The interval neutrosophic sets (INSs) are illustrated as a tool for managing fuzzy data during the services performance evaluation in library and information institutions from the perspective of user experience. In this work, the interval neutrosophic number MACONT (INN-MACONT) approach is illustrated to put forward the MAGDM under INSs. Ultimately, a numerical analysis for services performance evaluation in library and information institutions from the perspective of user experience is illustrated to validate the proposed approach

    Elevating Service Quality in Mass Sports Events Through Trapezoidal Neutrosophic Weighted Product Models

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    The evaluation of service quality in mass sports events is a structured process assessing aspects such as event organization, venue facilities, safety measures, staff services, and information dissemination. This evaluation assists organizers in identifying strengths and weaknesses, enabling optimization of services to enhance participant and spectator satisfaction. This study applies to the Weighted Product Method (WPM) integrated with Trapezoidal Neutrosophic Numbers (TNN) to address uncertainties inherent in multi-attribute decision-making. By presenting numerical examples and comparative analyses, the study demonstrates the effectiveness of the TNN-WPM technique. The findings provide a reliable framework for systematically evaluating service quality in mass sports events, promoting their development and broader societal impact

    A Neutrosophic Fixed Charge Multi-Objective 4 Dimensional Multi-item Transportation Problem with Carbon Emission and Budget Constraints

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    This paper seeks to address 4-dimensional transportation challenges by integrating budget con straints, vehicle speed, carbon emissions, and optimizing for maximum profit and minimum time. The rising number of vehicles, varying road conditions, and diverse vehicle types used to meet daily needs have exacerbated issues like global warming and greenhouse gas (GHG) emissions. Our goal is to reduce carbon emissions for a cleaner environment. Single-objective, single-item transportation systems are often insufficient for scenarios with multiple criteria. Thus, we adopt a multi-objective, multi-item decision-making approach to tackle real-life transportation problems. Practical challenges frequently involve uncertainties stemming from time pressures, insufficient data, information gaps, or inaccuracies in measurement. Recognizing this, we incorporate indeter minacy in our problem design. To address the uncertainties and ambiguities found in fuzzy and intuitionistic fuzzy settings, we utilize a neutrosophic set, which is well-suited to handle such complexities. Consequently, we employ neutrosophic linear programming to derive a compromise solution for the proposed neutrosophic fixed charge multi-objective, four-dimensional, multi-item transportation problem, considering carbon emissions and budget constraints. The model’s effectiveness is showcased using a numerical example, with the results displayed and analyzed. Finally, sensitivity analysis and conclusions, along with future research directions, are presented

    Boosted MACBETH Technique for Effectiveness Evaluation of Mental Health Education in College Students Based on Neutrosophic Cubic Sets

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    The evaluation of the effectiveness of college students\u27 mental health education (MHE) aims to assess the impact of related educational activities on students\u27 mental well-being. Using both quantitative and qualitative methods, it evaluates improvements in students\u27 psychological resilience, knowledge acquisition, emotional management, and the prevention of mental health issues. Effective evaluation helps optimize educational programs, enhancing students\u27 mental health and promoting their overall development. The effectiveness evaluation of college students’ MHE is multiple-attribute decision-making (MADM). Recently, the MACBETH technique and average model were dealt with MADM. The neutrosophic cubic sets (NCSs) are utilized as a better technique for expressing uncertain data during the effectiveness evaluation of college students’ MHE. In this study, the NC-MACBETH model is put forward the MADM with NCSs. The average technique is utilized to deal with weight. Finally, a numerical example of the effectiveness evaluation of college students’ MHE is put forward through some comparisons to verify the NC MACBETH technique

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