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Keywords = topsis-entropy weighting approach

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27 pages, 692 KB  
Article
A Systemic Evaluation of Energy Digital Transformation Policies for the G20 Group of Countries: A Four-Dimensional Framework and Cross-National Quantitative Analysis
by Jun Wang and Baomin Wang
Sustainability 2025, 17(20), 9301; https://doi.org/10.3390/su17209301 - 20 Oct 2025
Viewed by 19
Abstract
The global integration of digital technologies into energy systems constitutes a critical pathway for achieving sustainable and intelligent energy governance. This study evaluates the effectiveness of the energy digital transformation policies across eighteen major economies through a comprehensive four-dimensional framework, which encompasses policy [...] Read more.
The global integration of digital technologies into energy systems constitutes a critical pathway for achieving sustainable and intelligent energy governance. This study evaluates the effectiveness of the energy digital transformation policies across eighteen major economies through a comprehensive four-dimensional framework, which encompasses policy objectives, intensity, instruments, and stakeholder engagement. Through the application of the entropy-weighted TOPSIS method, our comparative analysis identifies a distinct hierarchy in national policy performance. The first tier, including the United Kingdom, the United States, South Korea, Australia, China, and Germany, demonstrates high coherence, enforceable mechanisms, and multi-actor coordination. The second tier, comprising Saudi Arabia, France, Turkey, Russia, Canada, and India, exhibits partial alignment with notable strengths in selected dimensions yet significant gaps in enforceability or stakeholder integration. The third tier, featuring Italy, Brazil, Argentina, Mexico, Japan, and Indonesia, is characterized by fragmented approaches and aspirational goals lacking implementation specificity. Stakeholder inclusiveness emerges as the most influential dimension, accounting for 38.3% of total weighting and substantially accounting for variations in efficacy. Moreover, nonlinear threshold effects are identified, indicating that subcritical performance in any dimension leads to disproportionate declines in overall outcomes. These findings underscore that synergistic policy design, which entails balancing objectives, governance capacity, instruments, and actors, is indispensable for effective energy digitalization. Full article
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15 pages, 514 KB  
Article
Integrated Technical–Economic–Environmental Evaluation of Available Technologies for Heavy Metal Wastewater Treatment Used in Lead–Zinc Smelting in the Yellow River Basin
by Yafeng Wu, Hao Fang and Yuhua Zhou
Sustainability 2025, 17(20), 9188; https://doi.org/10.3390/su17209188 - 16 Oct 2025
Viewed by 171
Abstract
Evaluating the efficacy of available technology for pollutant treatment is critical for formulating environmental management policies and standards. To address the lack of systematic quantitative methods for evaluating available technology, we propose a method based on the Entropy Weight TOPSIS model which integrates [...] Read more.
Evaluating the efficacy of available technology for pollutant treatment is critical for formulating environmental management policies and standards. To address the lack of systematic quantitative methods for evaluating available technology, we propose a method based on the Entropy Weight TOPSIS model which integrates technology, economic efficiency, environmental benefits, and operational feasibility. We applied this approach to evaluate six heavy metal wastewater treatment technologies used in the lead–zinc smelting industry in the Yellow River Basin of China. A total of 4 primary and 16 secondary evaluation indicators were identified. The data were mainly composed of supervised monitoring data collected by local environmental protection authorities and self-monitoring operation data collected from factories; moreover, 10 relevant experts were invited to assess the scoring indicators. The results showed that technical performance had the greatest contribution to the overall efficacy of the treatment technology (62.31% weight), followed by environmental benefits (14.24% weight), economic costs (12.08% weight), and operational feasibility (11.36% weight). The final scores and rankings of the six technologies evaluated showed that a sulfurization precipitation with two-stage lime neutralization and sedimentation technology received the highest score due to its balanced technical performance, economic cost, environmental benefits, and operational feasibility. Conversely, lime neutralization with flocculation precipitation technology ranked lowest due to its non-compliance with the emission limits in China, despite its low economic cost and carbon emission intensity. This study provides a quantitative methodological framework for evaluating available technology, emphasizing the balance of the technical, economic, and environmental benefits of the pollutant treatment technologies chosen and the relevant policies made. Full article
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29 pages, 1977 KB  
Article
Adaptive Multi-Level Cloud Service Selection and Composition Using AHP–TOPSIS
by V. N. V. L. S. Swathi, G. Senthil Kumar and A. Vani Vathsala
Appl. Sci. 2025, 15(20), 11010; https://doi.org/10.3390/app152011010 - 14 Oct 2025
Viewed by 228
Abstract
The growing diversity of cloud services has made evaluating their relative merits in terms of price, functionality, and availability increasingly complex, particularly given the wide range of deployment alternatives and service capabilities. Cloud manufacturing often requires the integration of multiple services to accomplish [...] Read more.
The growing diversity of cloud services has made evaluating their relative merits in terms of price, functionality, and availability increasingly complex, particularly given the wide range of deployment alternatives and service capabilities. Cloud manufacturing often requires the integration of multiple services to accomplish user tasks, where the effectiveness of resource utilization and capacity sharing is closely tied to the adopted service composition strategy. This complexity, intensified by competition among providers, renders cloud service selection and composition an NP-hard problem involving multiple challenges, such as identifying suitable services from large pools, handling composition constraints, assessing the importance of quality-of-service (QoS) parameters, adapting to dynamic conditions, and managing abrupt changes in service and network characteristics. To address these issues, this study applies the Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) in conjunction with Multi-Criteria Decision Making (MCDM) to evaluate and rank cloud services, while the Analytic Hierarchy Process (AHP) combined with the entropy weight method is employed to mitigate subjective bias and improve evaluation accuracy. Building on these techniques, a novel Adaptive Multi-Level Linked-Priority-based Best Method Selection with Multistage User-Feedback-driven Cloud Service Composition (MLLP-BMS-MUFCSC) framework is proposed, demonstrating enhanced service selection efficiency and superior quality of service compared to existing approaches. Full article
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16 pages, 661 KB  
Article
A Two-Layer Model for Complex Multi-Criteria Decision-Making and Its Application in Institutional Research
by Yinghui Zhou and Atsushi Asano
Appl. Syst. Innov. 2025, 8(5), 148; https://doi.org/10.3390/asi8050148 - 7 Oct 2025
Viewed by 461
Abstract
Complex decision-making often involves numerous alternatives and diverse criteria, making it difficult to set clear priorities under resource constraints. This study proposes a two-layer hierarchical decision model that structures the process into sequential stages: the first layer narrows the alternatives according to strategic [...] Read more.
Complex decision-making often involves numerous alternatives and diverse criteria, making it difficult to set clear priorities under resource constraints. This study proposes a two-layer hierarchical decision model that structures the process into sequential stages: the first layer narrows the alternatives according to strategic considerations, and the second layer re-evaluates the shortlisted options based on feasibility. This layered design clarifies the decision path and enhances interpretability compared to single-layer approaches. To demonstrate its practical value, the model is applied to an institutional research case in higher education, implemented with the entropy weight method (EWM) for weighting and TOPSIS for ranking. The results demonstrate that it supports transparent and resource-aware planning for performance improvement, while being scalable to multi-layer structure to accommodate diverse organizational needs and varying levels of complexity. Full article
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25 pages, 4115 KB  
Article
Rock Mass Failure Classification Based on FAHP–Entropy Weight TOPSIS Method and Roadway Zoning Repair Design
by Biao Huang, Qinghu Wei, Zhongguang Sun, Kang Guo and Ming Ji
Processes 2025, 13(10), 3154; https://doi.org/10.3390/pr13103154 - 2 Oct 2025
Viewed by 308
Abstract
After the original support system in the auxiliary transportation roadway of the northern wing of the Zhaoxian Mine failed, the extent of damage and deformation varied significantly across different sections of the drift. A single support method could not meet the engineering requirements. [...] Read more.
After the original support system in the auxiliary transportation roadway of the northern wing of the Zhaoxian Mine failed, the extent of damage and deformation varied significantly across different sections of the drift. A single support method could not meet the engineering requirements. Therefore, this paper conducted research on the classification of roadway damage and zoning repair. The overall damage characteristics of the roadway are described by three indicators: roadway deformation, development of rock mass fractures, and water seepage conditions. These are further refined into nine secondary indicators. In summary, a rock mass damage combination weighting evaluation model based on the FAHP–entropy weight TOPSIS method is proposed. According to this model, the degree of damage to the roadway is divided into five grades. After analyzing the damage conditions and support requirements at each grade, corresponding zoning repair plans are formulated by adjusting the parameters of bolts, cables, channel steel beams, and grouting materials. At the same time, the reliability of partition repair is verified using FLAC3D 6.0 numerical simulation software. Field monitoring results demonstrated that this approach not only met the support requirements for the roadway but also improved the utilization rate of support materials. This provides valuable guidance for the design of support systems for roadways with similar heterogeneous damage. Full article
(This article belongs to the Section Process Control and Monitoring)
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22 pages, 3006 KB  
Article
Evaluation of Water Resource Carrying Capacity in Taizhou City, Southeast China
by Chuyu Xu, Jiandong Ye, Yijing Chen, Yukun Wang, Haodong Qiu, Jiaqi Tan, Wencheng Wei, Zhishao Li, Tongtong Yu and Hao Chen
Water 2025, 17(18), 2688; https://doi.org/10.3390/w17182688 - 11 Sep 2025
Viewed by 395
Abstract
Water resource carrying capacity is a key measure of sustainability, commonly employed to evaluate how well water resources can sustain economic and social growth. With China’s rapid economic growth and modernization, water resources in certain regions are now being used at or beyond [...] Read more.
Water resource carrying capacity is a key measure of sustainability, commonly employed to evaluate how well water resources can sustain economic and social growth. With China’s rapid economic growth and modernization, water resources in certain regions are now being used at or beyond their sustainable threshold. This study evaluates the present state of water resource carrying capacity in Taizhou City, located in southeastern China. Using relevant data from 2012 to 2022 on society, economy, water resources, and ecology, the weights of the evaluation indicators were determined using both the entropy weight method and principal component analysis. Subsequently, a comprehensive evaluation model for water resource carrying capacity was developed by applying the TOPSIS (Technique for Order Preference by Similarity to an Ideal Solution) method. The comprehensive proximity index for water resource carrying capacity in Taizhou City averaged 0.4864 between 2012 and 2022, indicating a moderate level overall but exhibiting a declining trend, suggesting an approaching threshold of utilization limits. The range was between 0.3461 and 0.7143. In 2017, the comprehensive proximity index was 0.3461 (low water resource carrying capacity level, with water resources already suffering damage and various subsystems developing uncoordinatedly). However, the comprehensive proximity index for water resource carrying capacity improved significantly from 2018 to 2022. A combination of rising industrial water demand and a decrease in both the absolute volume and proportional allocation of water for ecological purposes drove the overall decline in the progress rate in 2017. Taizhou City has formulated strict water resource management policies and measures, resulting in a decrease in indicators such as industrial water consumption, residential water consumption, and industrial wastewater discharge, as well as an increase in indicators such as ecological water consumption and ecological water utilization rate. As a result, the comprehensive water resource carrying capacity saw a notable rise during 2018–2019. The study results provide a reference for the rational use of water resources in Taizhou City and are of certain significance for promoting the coordinated economic and social development of Taizhou City. Full article
(This article belongs to the Section Water Resources Management, Policy and Governance)
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25 pages, 1262 KB  
Article
Comprehensive Evaluation of Water Resource Carrying Capacity in Hebei Province Based on a Combined Weighting–TOPSIS Model
by Nianning Wang, Qichao Zhao, Lihua Yuan, Yaosen Chen, Ying Hong and Sijie Chen
Data 2025, 10(9), 143; https://doi.org/10.3390/data10090143 - 10 Sep 2025
Viewed by 440
Abstract
Water scarcity severely restricts the sustainable development of water-stressed regions like Hebei Province. A scientific assessment of water resource carrying capacity (WRCC) is essential. However, single-weighting methods often lead to biased results. To address this limitation, we propose a combined weighting model that [...] Read more.
Water scarcity severely restricts the sustainable development of water-stressed regions like Hebei Province. A scientific assessment of water resource carrying capacity (WRCC) is essential. However, single-weighting methods often lead to biased results. To address this limitation, we propose a combined weighting model that integrates the Entropy Weight Method (EWM), Projection Pursuit (PP), and CRITIC. To support this model, we developed a multi-dimensional, long-term WRCC evaluation dataset covering 11 prefecture-level cities in Hebei Province over 24 years (2000–2023). This approach simultaneously considers data dispersion, inter-indicator conflict, and structural features. It ensures that a more balanced weighting scheme is obtained. The traditional TOPSIS model was further improved through Grey Relational Analysis (GRA), which enhanced the discriminatory power and stability of WRCC assessment. The findings were as follows: (1) From 2000 to 2023, the WRCC in Hebei Province showed a fluctuating upward trend and a “high-north, low-south” spatial gradient. (2) Obstacle analysis revealed a vicious cycle of “resource scarcity–structural conflict–ecological deficit”. This cycle is caused by excessive exploitation of groundwater and low efficiency of industrial water use. The combined weighting–GRA–TOPSIS model offers a reliable WRCC diagnostic tool. The results indicate the core barriers to water use in Hebei and provide targeted policy ideas for sustainable development. Full article
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30 pages, 3814 KB  
Article
Resilience Assessment of Safety System in EPB Construction Based on Analytic Network Process and Extension Cloud Model
by Jinliang Bai, Xuewei Li, Xinqing Hao, Dapeng Zhu and Yangkun Zhou
Appl. Sci. 2025, 15(17), 9802; https://doi.org/10.3390/app15179802 - 6 Sep 2025
Viewed by 818
Abstract
In urban underground construction, Earth Pressure Balance (EPB) tunneling faces complex geological uncertainties and dynamic operational risks. Traditional safety management approaches often struggle under such conditions. This paper proposes an integrated safety resilience assessment framework for EPB tunneling that combines an entropy-weighted TOPSIS [...] Read more.
In urban underground construction, Earth Pressure Balance (EPB) tunneling faces complex geological uncertainties and dynamic operational risks. Traditional safety management approaches often struggle under such conditions. This paper proposes an integrated safety resilience assessment framework for EPB tunneling that combines an entropy-weighted TOPSIS method, the Analytic Network Process (ANP), and an extension cloud model to capture interdependencies and uncertainties. A hierarchical indicator system with four primary dimensions (stability, redundancy, efficiency, and fitness) is constructed. The entropy-TOPSIS algorithm provides objective initial weights and scenario ranking, while ANP models the feedback relationships among criteria. The extension cloud model quantifies fuzziness in expert judgments and converts qualitative assessments into probabilistic resilience ratings. The methodology is applied to a case study of the EPB shield tunnel section of Jinan Metro Line 6 (China). The section’s resilience is classified as a medium level, which agrees with expert evaluation. The results demonstrate that the proposed approach yields accurate and robust safety resilience evaluations, supporting data-driven decision-making. This framework offers a quantitative tool for resilience-based safety management of shield tunneling projects, providing guidance for shifting from traditional risk control toward a resilience-enhancement strategy. Full article
(This article belongs to the Special Issue Advances in Tunnel Excavation and Underground Construction)
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32 pages, 2819 KB  
Article
The Development of the Modern Logistics Industry and Its Role in Promoting Regional Economic Growth in China’s Underdeveloped Northwest, Driven by the Digital Economy
by Jiang Lu, Soo-Cheng Chuah, Dong-Mei Xia and Joston Gary
Economies 2025, 13(9), 261; https://doi.org/10.3390/economies13090261 - 6 Sep 2025
Cited by 1 | Viewed by 883
Abstract
The digital economy is a key driver of industrial upgrading and regional growth. Focusing on Gansu Province—an under-represented, less-developed region in northwest China—this study constructs a multidimensional digital economy index (DEI) for 2009–2023 under a unified normalisation and weighting scheme. Two complementary MCDA [...] Read more.
The digital economy is a key driver of industrial upgrading and regional growth. Focusing on Gansu Province—an under-represented, less-developed region in northwest China—this study constructs a multidimensional digital economy index (DEI) for 2009–2023 under a unified normalisation and weighting scheme. Two complementary MCDA approaches—entropy-weighted TOPSIS and SESP-SPOTIS—are implemented on the same 0–1 normalised indicators. Robustness is assessed using COMSAM sensitivity analysis and is benchmarked against a PCA reference. The empirical analysis then estimates log-elasticity models linking modern logistics production (MLP) and the DEI to the provincial GDP and sectoral value added, with inferences based on White heteroskedasticity–robust standard errors and bootstrap confidence intervals. Results show a steady rise in the DEI with a temporary dip in 2021 and recovery thereafter. MLP is positively and significantly associated with GDP and value added in the primary, secondary, and tertiary sectors. The DEI is positively and significantly associated with GDP, the primary sector, and the tertiary sector, but its effect is not statistically significant for the secondary sector, indicating a manufacturing digitalisation gap relative to services. Cross-method agreement and narrow sensitivity bands support the stability of these findings. Policy implications include continued investment in digital infrastructure and accessibility, targeted acceleration of manufacturing digitalisation, and the development of a “digital agriculture–smart logistics–green development” pathway to foster high-quality, sustainable regional growth. Full article
(This article belongs to the Section International, Regional, and Transportation Economics)
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36 pages, 14784 KB  
Article
Analyzing Spatiotemporal Variations and Influencing Factors in Low-Carbon Green Agriculture Development: Empirical Evidence from 30 Chinese Districts
by Zhiyuan Ma, Jun Wen, Yanqi Huang and Peifen Zhuang
Agriculture 2025, 15(17), 1853; https://doi.org/10.3390/agriculture15171853 - 30 Aug 2025
Viewed by 775
Abstract
Agriculture is fundamental to food security and environmental sustainability. Advancing its holistic ecological transformation can stimulate socioeconomic progress while fostering human–nature harmony. Utilizing provincial data from mainland China (2013–2022), this research establishes a multidimensional evaluation framework across four pillars: agricultural ecology, low-carbon practices, [...] Read more.
Agriculture is fundamental to food security and environmental sustainability. Advancing its holistic ecological transformation can stimulate socioeconomic progress while fostering human–nature harmony. Utilizing provincial data from mainland China (2013–2022), this research establishes a multidimensional evaluation framework across four pillars: agricultural ecology, low-carbon practices, modernization, and productivity enhancement. Through comprehensive assessment, we quantify China’s low-carbon green agriculture (LGA) development trajectory and conduct comparative regional analysis across eastern, central, and western zones. As for methods, this study employs multiple econometric approaches: LGA was quantified using the TOPSIS entropy weight method at the first step. Moreover, multidimensional spatial–temporal patterns were characterized through ArcGIS spatial analysis, Dagum Gini coefficient decomposition, Kernel density estimation, and Markov chain techniques, revealing regional disparities, evolutionary trajectories, and state transition dynamics. Last but not least, Tobit regression modeling identified driving mechanisms, informing improvement strategies derived from empirical evidence. The key findings reveal the following: 1. From 2013 to 2022, LGA in China fluctuated significantly. However, the current growth rate is basically maintained between 0% and 10%. Meanwhile, LGA in the vast majority of provinces exceeds 0.3705, indicating that LGA in China is currently in a stable growth period. 2. After 2016, the growth momentum in the central and western regions continued. The growth rate peaked in 2020, with some provinces having a growth rate exceeding 20%. Then the growth rate slowed down, and the intra-regional differences in all regions remained stable at around 0.11. 3. Inter-regional differences are the main factor causing the differences in national LGA, with contribution rates ranging from 67.14% to 74.86%. 4. LGA has the characteristic of polarization. Some regions have developed rapidly, while others have lagged behind. At the end of our ten-year study period, LGA in Yunnan, Guizhou and Shanxi was still below 0.2430, remaining in the low-level range. 5. In the long term, the possibility of improvement in LGA in various regions of China is relatively high, but there is a possibility of maintaining the status quo or “deteriorating”. Even provinces with a high level of LGA may be downgraded, with possibilities ranging from 1.69% to 4.55%. 6. The analysis of driving factors indicates that the level of economic development has a significant positive impact on the level of urban development, while the influences of urbanization, agricultural scale operation, technological input, and industrialization level on the level of urban development show significant regional heterogeneity. In summary, during the period from 2013 to 2022, although China’s LGA showed polarization and experienced ups and downs, it generally entered a period of stable growth. Among them, the inter-regional differences were the main cause of the unbalanced development across the country, but there was also a risk of stagnation and decline. Economic development was the general driving force, while other driving factors showed significant regional heterogeneity. Finally, suggestions such as differentiated development strategies, regional cooperation and resource sharing, and coordinated policy allocation were put forward for the development of LGA. This research is conducive to providing references for future LGA, offering policy inspirations for LGA in other countries and regions, and also providing new empirical results for the academic community. Full article
(This article belongs to the Section Agricultural Economics, Policies and Rural Management)
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30 pages, 2965 KB  
Article
Multi-Environmental Reliability Evaluation for Complex Equipment: A Strict Intuitionistic Fuzzy Distance Measure-Based Multi-Attribute Group Decision-Making Framework
by Zhaiming Peng, Wenhe Chen and Longlong Gao
Machines 2025, 13(8), 744; https://doi.org/10.3390/machines13080744 - 20 Aug 2025
Viewed by 409
Abstract
The theoretical reliability of complex equipment often significantly deviates from real-world performance due to the inherent influence of diverse environmental and operational factors, making scientific reliability evaluation particularly challenging. This study proposes a multi-attribute group decision-making (MAGDM) evaluation framework based on a strict [...] Read more.
The theoretical reliability of complex equipment often significantly deviates from real-world performance due to the inherent influence of diverse environmental and operational factors, making scientific reliability evaluation particularly challenging. This study proposes a multi-attribute group decision-making (MAGDM) evaluation framework based on a strict intuitionistic fuzzy distance and an improved TOPSIS approach. First, an improved strict intuitionistic fuzzy distance measure (ISIFDisM) is rigorously developed to overcome the limitations of existing methods, exhibiting high robustness, monotonicity, and discriminability. Second, building upon ISIFDisM, a systematic MAGDM evaluation model is constructed, comprising three key steps: (1) data acquisition through structured questionnaire surveys; (2) attribute weights determined using the entropy weight method; and (3) alternative ranking through normalized priority coefficients derived from intuitionistic fuzzy distance calculations. Third, the proposed framework is applied to a practical case study focused on reliability assessment of ship equipment, enabling effective ranking of various marine engines. Finally, through static comparative analyses and dynamic scenario simulations, the feasibility, robustness, and methodological superiority of the proposed framework are thoroughly validated. Full article
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18 pages, 862 KB  
Article
Integration of Multi-Criteria Decision-Making and Dimensional Entropy Minimization in Furniture Design
by Anna Jasińska and Maciej Sydor
Information 2025, 16(8), 692; https://doi.org/10.3390/info16080692 - 14 Aug 2025
Viewed by 604
Abstract
Multi-criteria decision analysis (MCDA) in furniture design is challenged by increasing product complexity and component proliferation. This study introduces a novel framework that integrates entropy reduction—achieved through dimensional standardization and modularity—as a core factor in the MCDA methodologies. The framework addresses both individual [...] Read more.
Multi-criteria decision analysis (MCDA) in furniture design is challenged by increasing product complexity and component proliferation. This study introduces a novel framework that integrates entropy reduction—achieved through dimensional standardization and modularity—as a core factor in the MCDA methodologies. The framework addresses both individual furniture evaluation and product family optimization through systematic complexity reduction. The research employed a two-phase methodology. First, a comparative analysis evaluated two furniture variants (laminated particleboard versus oak wood) using the Weighted Sum Model (WSM) and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). The divergent rankings produced by these methods revealed inherent evaluation ambiguities stemming from their distinct mathematical foundations, highlighting the need for additional decision criteria. Building on these findings, the study further examined ten furniture variants, identifying the potential to transform their individual components into universal components, applicable across various furniture variants (or configurations) in a furniture line. The proposed dimensional modifications enhance modularity and interoperability within product lines, simplifying design processes, production, warehousing logistics, product servicing, and liquidation at end of lifetime. The integration of entropy reduction as a quantifiable criterion within MCDA represents a significant methodological advancement. By prioritizing dimensional standardization and modularity, the framework reduces component variety while maintaining design flexibility. This approach offers furniture manufacturers a systematic method for balancing product diversity with operational efficiency, addressing a critical gap in current design evaluation practices. Full article
(This article belongs to the Special Issue New Applications in Multiple Criteria Decision Analysis, 3rd Edition)
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22 pages, 474 KB  
Article
Fuzzy Multi-Attribute Group Decision-Making Method Based on Weight Optimization Models
by Qixiao Hu, Yuetong Liu, Chaolang Hu and Shiquan Zhang
Symmetry 2025, 17(8), 1305; https://doi.org/10.3390/sym17081305 - 12 Aug 2025
Viewed by 452
Abstract
For interval-valued intuitionistic fuzzy sets featuring complementary symmetry in evaluation relations, this paper proposes a novel, complete fuzzy multi-attribute group decision-making (MAGDM) method that optimizes both expert weights and attribute weights. First, an optimization model is constructed to determine expert weights by minimizing [...] Read more.
For interval-valued intuitionistic fuzzy sets featuring complementary symmetry in evaluation relations, this paper proposes a novel, complete fuzzy multi-attribute group decision-making (MAGDM) method that optimizes both expert weights and attribute weights. First, an optimization model is constructed to determine expert weights by minimizing the cumulative difference between individual evaluations and the overall consistent evaluations derived from all experts. Second, based on the Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS), the improved closeness index for evaluating each alternative is obtained. Finally, leveraging entropy theory, a concise and interpretable optimization model is established to determine the attribute weight. This weight is then incorporated into the closeness index to enable the ranking of alternatives. Integrating these features, the complete fuzzy MAGDM algorithm is formulated, effectively combining the strengths of subjective and objective weighting approaches. To conclude, the feasibility and effectiveness of the proposed method are thoroughly verified and compared through detailed examination of two real-world cases. Full article
(This article belongs to the Section Mathematics)
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23 pages, 608 KB  
Article
Assessing Municipal Performance in Serbia: A TOPSIS-Based Analysis of Economic Vitality and Public Safety Dynamics
by Tomasz Skrzyński and Aleksander Wasiuta
Sustainability 2025, 17(13), 5838; https://doi.org/10.3390/su17135838 - 25 Jun 2025
Viewed by 735
Abstract
This study applies the TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method combined with entropy-based weighting to systematically rank Serbian municipalities regarding economic vitality, infrastructure quality, and socio-economic stability. By developing a composite municipal performance index, the research explores the [...] Read more.
This study applies the TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) method combined with entropy-based weighting to systematically rank Serbian municipalities regarding economic vitality, infrastructure quality, and socio-economic stability. By developing a composite municipal performance index, the research explores the extent to which stronger economic standings relate to public safety outcomes. Infrastructure factors—including road conditions, housing quality, and water supply—are assessed through correlation and t-tests to evaluate their influence on municipal economic rankings. An ordinary least squares (OLS) regression model also examines how education and health expenditures per capita contribute to broader socio-economic resilience. The findings reveal a moderately strong, though nonlinear, negative relationship between economic performance and crime rates, with road infrastructure emerging as a consistently significant driver of economic strength. Investments in education and health initially correlate with greater municipal stability but show signs of diminishing marginal impact over time. These insights contribute to understanding the complex interplay between governance, infrastructure, and safety in transitional economies, highlighting the value of integrated data-driven approaches for regional development planning. Full article
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25 pages, 7055 KB  
Article
A Game-Theoretic Combination Weighting–TOPSIS Integrated Model for Sustainable Floodplain Risk Assessment Under Multi-Return-Period Scenarios
by Xuejing Ruan, Hai Sun, Qiwei Yu, Wenchi Shou and Jun Wang
Sustainability 2025, 17(12), 5622; https://doi.org/10.3390/su17125622 - 18 Jun 2025
Viewed by 797
Abstract
Global climate change has altered precipitation patterns, leading to an increased frequency and intensity of extreme rainfall events and introducing greater uncertainty to flood risk in river basins. Traditional assessments often rely on static indicators and single-design scenarios, failing to reflect the dynamic [...] Read more.
Global climate change has altered precipitation patterns, leading to an increased frequency and intensity of extreme rainfall events and introducing greater uncertainty to flood risk in river basins. Traditional assessments often rely on static indicators and single-design scenarios, failing to reflect the dynamic evolution of floods under varying intensities. Additionally, oversimplified topographic representations compromise the accuracy of high-risk-zone identification, limiting the effectiveness of precision flood management. To address these limitations, this study constructs multi-return-period flood scenarios and applies a coupled 1D/2D hydrodynamic model to analyze the spatial evolution of flood hazards and extract refined hazard indicators. A multi-source weighting framework is proposed by integrating the triangular fuzzy analytic hierarchy process (TFAHP) and the entropy weight method–criteria importance through intercriteria correlation (EWM-CRITIC), with game-theoretic strategies employed to achieve optimal balance among different weighting sources. These are combined with the technique for order preference by similarity to an ideal solution (TOPSIS) to develop a continuous flood risk assessment model. The approach is applied to the Georges River Basin in Australia. The findings support data-driven flood risk management strategies that benefit policymakers, urban planners, and emergency services, while also empowering local communities to better prepare for and respond to flood risks. By promoting resilient, inclusive, and sustainable urban development, this research directly contributes to the achievement of United Nations Sustainable Development Goal 11 (Sustainable Cities and Communities). Full article
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