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Keywords = FAHP–EWM

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42 pages, 3047 KB  
Article
Fuzzy Comprehensive Evaluation of the Geological Environment of Abandoned Open-Pit Mines Based on IRBMO-G1-EWM Combined Weighting
by Liangxing Jin, Xinqi Zhang, Pingting Liu, Zhonghe Yao and Hao Li
Mathematics 2026, 14(13), 2448; https://doi.org/10.3390/math14132448 - 7 Jul 2026
Viewed by 195
Abstract
The geological environment evaluation of abandoned open-pit mines frequently encounters challenges, including the reliance of subjective weighting on judgment matrices, the complexity of weight adjustment, and the inadequate interpretation of systematic evaluation results. Addressing these limitations in existing AHP/FAHP and their combinatory weighting [...] Read more.
The geological environment evaluation of abandoned open-pit mines frequently encounters challenges, including the reliance of subjective weighting on judgment matrices, the complexity of weight adjustment, and the inadequate interpretation of systematic evaluation results. Addressing these limitations in existing AHP/FAHP and their combinatory weighting models, this study proposes the IRBMO-G1-EWM-FCE framework. This framework embeds the Improved Red Billed Blue Magpie Optimizer (IRBMO) into the improved G1 method to optimize indicator contribution rates, and subsequently integrates EWM, game theory combinatory weighting, and Fuzzy Comprehensive Evaluation (FCE) to evaluate three abandoned quarries in the Yellow River Basin of Shaanxi Province. The results demonstrate that across 20 independent runs, IRBMO yields a mean fitness value of 1.6496, lower than the 1.7732 of RBMO, with a 63.8% reduction in standard deviation, thereby indicating superior convergence accuracy and stability. The comprehensive membership degrees of the three quarries are A = [0.405,0.143,0.452], B = [0.405,0.450,0.145], and C = [0.742,0.077,0.181], corresponding to evaluation grades of Grade III, Grade II, and Grade I, respectively. While circumventing the construction of complete judgment matrices and consistency modifications, this method incorporates both expert experience and data discreteness into the evaluation, thereby providing an interpretable quantitative tool for geological environment classification, governance priority identification, and restoration decision-making for abandoned open-pit mines. Full article
(This article belongs to the Special Issue Sensitivity Analysis and Decision Making)
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22 pages, 1582 KB  
Article
Assessing New Energy Base Development: An Integrated Multi-Criteria Decision Analysis
by Tingting Zhang, Wanjing Zhuang, Xinyu Zhao, Xiaomin Xie, Yinzhang Peng and Qi Zhao
Sustainability 2026, 18(13), 6397; https://doi.org/10.3390/su18136397 - 23 Jun 2026
Viewed by 250
Abstract
To systematically assess the regional impacts of new-energy base (NEB) development, this study proposes a comprehensive evaluation model integrating the Fuzzy Analytic Hierarchy Process (FAHP), Entropy Weight Method (EWM), and the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). A 26-indicator [...] Read more.
To systematically assess the regional impacts of new-energy base (NEB) development, this study proposes a comprehensive evaluation model integrating the Fuzzy Analytic Hierarchy Process (FAHP), Entropy Weight Method (EWM), and the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). A 26-indicator framework across environmental, technological, economic, and social (ETES) dimensions was constructed. Empirical analysis of representative cases was carried out using game-theoretic integration of FAHP and EWM to derive indicator weights. Furthermore, an obstacle degree model was employed to identify key constraints. Three representative NEBs in Xinjiang Province were selected for analysis, including a medium-scale wind-PV hybrid base (Case A), a large-scale PV project with standalone storage (Case B), and a wind power expansion project (Case C). The results validate the scientific robustness of the ETES framework, with combined weighting indicating that economic criteria hold the highest priority. The case assessments reveal that Case B attained the highest relative closeness in the TOPSIS ranking, whereas Cases A and C performed less favorably due to significant deviations from ideal indicator values. Obstacle analysis further identified distinct limiting factors. These findings offer a theoretical basis and practical insights for analogous renewable energy initiatives, particularly in regions facing complex sustainability trade-offs. Full article
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18 pages, 2455 KB  
Article
Comprehensive Evaluation of the Effectiveness of Power Grid Structure Renovation Based on a Hybrid Weighting Method Combining FAHP and EWM
by Bingjie Jin, Huicong Zhan, Zuohong Li, Shuxin Luo, Hong Dong, Chu Jin, Jindi Luo and Jiaying Lian
Energies 2026, 19(11), 2542; https://doi.org/10.3390/en19112542 - 25 May 2026
Viewed by 482
Abstract
Renovating the grid structure by converting existing transmission lines into VSC-HVDC transmission lines can address issues such as limited transmission capacity and excessive short-circuit current in load-concentrated areas. To effectively evaluate the effectiveness of grid structure renovation and provide a reference for selecting [...] Read more.
Renovating the grid structure by converting existing transmission lines into VSC-HVDC transmission lines can address issues such as limited transmission capacity and excessive short-circuit current in load-concentrated areas. To effectively evaluate the effectiveness of grid structure renovation and provide a reference for selecting suitable renovation sites, this paper proposes a comprehensive evaluation method for assessing the effectiveness of grid structure renovation. Firstly, an evaluation indicator system is constructed from four aspects. Then, the Fuzzy Analytic Hierarchy Process (FAHP) and Entropy Weight Method (EWM) are used to determine the subjective weight and objective weight of each indicator, and a game theory-based combined weighting method is applied to obtain the combined weight, which is then used to calculate the comprehensive evaluation value before and after renovation to reflect the effectiveness of the renovation. Subsequently, the TOPSIS method is employed for comparative verification of the evaluation method’s validity, and a sensitivity analysis is conducted on the subjective weight to confirm the method’s robustness to subjective preference. Finally, based on the indicator data obtained from the PSD-BPA simulation, the effectiveness of renovating eight scenarios in a provincial power grid is evaluated. The results show that grid structure renovation can enhance power grid performance in load centers. Full article
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26 pages, 7267 KB  
Article
Speed Limit Strategies for Median Crossover Sections in Freeway Reconstruction and Expansion: A Case Study of a Four-to-Eight-Lane Expansion Project in a Plain Area
by Jin Ran, Wenzheng Zhao, Meiling Li, Dong Tang, Yanyan Zhang and Reziwaguli Abula
Sustainability 2026, 18(10), 4983; https://doi.org/10.3390/su18104983 - 15 May 2026
Cited by 1 | Viewed by 320
Abstract
During freeway reconstruction and expansion, median crossover sections where traffic is maintained during construction are vulnerable to changes in lane configuration, abrupt geometric changes, and construction interference. These factors may lead to safety risks and operational efficiency losses. Existing studies have mainly relied [...] Read more.
During freeway reconstruction and expansion, median crossover sections where traffic is maintained during construction are vulnerable to changes in lane configuration, abrupt geometric changes, and construction interference. These factors may lead to safety risks and operational efficiency losses. Existing studies have mainly relied on microscopic traffic simulation to evaluate speed limit schemes, while engineering costs, environmental impacts, driver responses, and policy constraints have rarely been considered in an integrated manner. This study proposes a two-stage evaluation framework that integrates VISSIM microscopic traffic simulation, the Entropy Weight Method–Technique for Order Preference by Similarity to an Ideal Solution (EWM–TOPSIS), and the Fuzzy Analytic Hierarchy Process (FAHP). A four to eight-lane freeway expansion project in a plain area of northern China is used as the case study. Field speed data from a representative median crossover section are used for model calibration and speed-pattern analysis. A total of 27 simulation scenarios is then constructed by combining three bottleneck types, three traffic saturation levels, and three speed limit schemes. The EWM–TOPSIS results show that the 80→70 km/h scheme achieves the highest relative closeness in all scenarios. The FAHP evaluation, based on six criteria and 21 indicators, also ranks this scheme first. Its ranking remains unchanged under ±10% criteria weight perturbations. Field speed comparison indicates that vehicles exhibit a deceleration–recovery pattern when passing through the crossover opening. Overall, the 80→70 km/h gradual speed reduction scheme can be regarded as a candidate scheme for work zones with similar median crossover configurations. Under localized calibration conditions, it can provide decision-making support for reducing operational disturbances, fuel consumption, and external impacts associated with crash risk. Full article
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31 pages, 11266 KB  
Article
Preventive Zoning for Geosafety Risks of Underground Space Utilization: A Management-Oriented Perspective
by Hongwei Liu, Zhuang Li, Bo Han, Yaonan Bai, Junxi Zhang and Yuyu Wan
Appl. Sci. 2026, 16(3), 1251; https://doi.org/10.3390/app16031251 - 26 Jan 2026
Viewed by 553
Abstract
The safe utilization of underground spaces constitutes a critical challenge for densely populated cities, making geosafety risk prevention in underground development a focal point for both academic research and governmental governance. As the pivotal link and ultimate objective in geological safety management, risk [...] Read more.
The safe utilization of underground spaces constitutes a critical challenge for densely populated cities, making geosafety risk prevention in underground development a focal point for both academic research and governmental governance. As the pivotal link and ultimate objective in geological safety management, risk prevention facilitates the transition from theoretical research to administrative practice. This study establishes a management-oriented technical framework for geological risk preventive zoning in underground space utilization, addressing the current research gap where zoning methodologies inadequately integrate with governmental decision-making processes due to insufficient consideration of multidimensional attributes from both researcher and administrator perspectives. Taking Xiong’an New Area in China as a case study, the framework employs a tri-level analytical structure, restrictive tier, limiting tier, and influencing tier, with phased weighting methodologies, CRITIC-EWM for objective weighting vs. AHP-FAHP for subjective weighting. The scientifically validated results demonstrate the framework’s feasibility and scalability. Limitations and future research directions are identified to guide subsequent studies in this field. Full article
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22 pages, 937 KB  
Article
An Improved TOPSIS Method Using Fermatean Fuzzy Sets for Techno-Economic Evaluation of Multi-Type Power Sources
by Lun Ye, Jichuan Li, Shengjie Yang, Lei Jiang, Jing Liao and Binkun Xu
Electronics 2025, 14(23), 4770; https://doi.org/10.3390/electronics14234770 - 4 Dec 2025
Cited by 1 | Viewed by 746
Abstract
Scientific planning and optimal development of multi-type power sources are critical prerequisites for supporting the robust evolution of emerging power systems. However, existing techno-economic evaluation methods often face challenges such as higher-order uncertainty and weight conflicts, making it difficult to provide reliable support [...] Read more.
Scientific planning and optimal development of multi-type power sources are critical prerequisites for supporting the robust evolution of emerging power systems. However, existing techno-economic evaluation methods often face challenges such as higher-order uncertainty and weight conflicts, making it difficult to provide reliable support for comparing and selecting power source schemes. To address this, this paper proposes an improved Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) method based on Fermatean Fuzzy Sets (FFS) for techno-economic evaluation of multi-type power sources. First, building on the traditional TOPSIS framework, we introduce Fermatean Fuzzy Sets to construct a FF Hybrid Weighted Distance (FFHWD) measure. This measure simultaneously captures the subjective importance of evaluation indicators and decision-makers’ risk preferences. Second, we design a subjective-objective coupled weighting strategy integrating Fuzzy Analytic Hierarchy Process (FAHP) and Entropy Weight Method (EWM) to achieve dynamic weight balancing, effectively mitigating biases caused by single weighting approaches. Finally, the FFHWD is integrated into the improved TOPSIS framework by defining FF positive and negative ideal solutions. The comprehensive closeness coefficients of each power source scheme are calculated to enable robust ranking and optimal selection of multi-type power source alternatives. Empirical analysis of five representative power generation technologies—thermal power, hydropower, wind power, photovoltaics (PV), and energy storage—demonstrates the following comprehensive techno-economic ranking: hydropower > photovoltaics > thermal power > wind power > energy storage. Hydropower achieves the highest closeness coefficient (−0.4198), whereas energy storage yields the lowest value (−2.8704), effectively illustrating their respective advantages and limitations within the evaluation framework. This research provides scientific decision-making support and methodological references for optimizing multi-type power source configurations and planning new power systems. Full article
(This article belongs to the Special Issue Digital Intelligence Technology and Applications, 2nd Edition)
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21 pages, 6814 KB  
Article
Urban Land Subsidence Analyzed Through Time-Series InSAR Coupled with Refined Risk Modeling: A Wuhan Case Study
by Lv Zhou, Liqi Liang, Quanyu Chen, Haotian He, Hongming Li, Jie Qin, Fei Yang, Xinyi Li and Jie Bai
ISPRS Int. J. Geo-Inf. 2025, 14(9), 320; https://doi.org/10.3390/ijgi14090320 - 22 Aug 2025
Cited by 1 | Viewed by 2941
Abstract
Due to extensive soft soil and high human activities, Wuhan is a hotspot for land subsidence. This study used the time-series InSAR to calculate the spatial and temporal distribution map of subsidence in Wuhan and analyze the causes of subsidence. An improved fuzzy [...] Read more.
Due to extensive soft soil and high human activities, Wuhan is a hotspot for land subsidence. This study used the time-series InSAR to calculate the spatial and temporal distribution map of subsidence in Wuhan and analyze the causes of subsidence. An improved fuzzy analytic hierarchy process (GD-FAHP) was proposed and integrated with the Entropy Weight Method (EWM) to assess the hazard and vulnerability of land subsidence using multiple evaluation factors, thereby deriving the spatial distribution characteristics of subsidence risk in Wuhan. Results indicated the following: (1) Maximum subsidence rates reached −49 mm/a, with the most severe deformation localized in Hongshan District, exhibiting a cumulative displacement of −135 mm. Comparative validation between InSAR results and leveling was conducted, demonstrating the reliability of InSAR monitoring. (2) Areas with frequent urban construction largely coincided with subsidence locations. In addition, the analysis indicated that rainfall and hydrogeological conditions were also correlated with land subsidence. (3) The proposed risk assessment model effectively identified high-risk areas concentrated in central urban zones, particularly the Hongshan and Wuchang Districts. This research establishes a methodological framework for urban hazard mitigation and provides actionable insights for subsidence risk reduction strategies. Full article
(This article belongs to the Topic Geotechnics for Hazard Mitigation, 2nd Edition)
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18 pages, 662 KB  
Article
Bilateral Matching Method for Business Resources Based on Synergy Effects and Incomplete Data
by Shuhai Wang, Linfu Sun and Yang Yu
Entropy 2024, 26(8), 669; https://doi.org/10.3390/e26080669 - 6 Aug 2024
Cited by 2 | Viewed by 1800
Abstract
On the third-party cloud platform, to help enterprises accurately obtain high-quality and valuable business resources from the massive information resources, a bilateral matching method for business resources, based on synergy effects and incomplete data, is proposed. The method first utilizes a k-nearest neighbor [...] Read more.
On the third-party cloud platform, to help enterprises accurately obtain high-quality and valuable business resources from the massive information resources, a bilateral matching method for business resources, based on synergy effects and incomplete data, is proposed. The method first utilizes a k-nearest neighbor imputation algorithm, based on comprehensive similarity, to fill in missing values. Then, it constructs a satisfaction evaluation index system for business resource suppliers and demanders, and the weights of the satisfaction evaluation indices are determined, based on the fuzzy analytic hierarchy process (FAHP) and the entropy weighting method (EWM). On this basis, a bilateral matching model is constructed with the objectives of maximizing the satisfaction of both the supplier and the demander, as well as achieving the synergy effect. Finally, the model is solved using the linear weighting method to obtain the most satisfactory business resources for both supply and demand. The effectiveness of the method is verified through a practical application and comparative experiments. Full article
(This article belongs to the Special Issue Entropy Method for Decision Making with Uncertainty)
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23 pages, 10982 KB  
Article
Benefit Evaluation of Carbon Reduction in Power Transmission and Transformation Projects Based on the Modified TOPSIS-RSR Method
by Yinan Wang, Heng Chen, Shuyuan Zhao, Lanxin Fan, Cheng Xin, Xue Jiang and Fan Yao
Energies 2024, 17(12), 2988; https://doi.org/10.3390/en17122988 - 17 Jun 2024
Cited by 8 | Viewed by 2002
Abstract
In order to fully achieve energy saving goals, it is necessary to establish a comprehensive evaluation system for carbon reduction in transmission and transformation projects. Subsequently, weights were assigned to these indicators using a combination of the fuzzy analytical hierarchy process (FAHP) and [...] Read more.
In order to fully achieve energy saving goals, it is necessary to establish a comprehensive evaluation system for carbon reduction in transmission and transformation projects. Subsequently, weights were assigned to these indicators using a combination of the fuzzy analytical hierarchy process (FAHP) and the entropy weight method (EWM) through both subjective and objective methods. Finally, the ultimate weights were obtained by applying the principle of minimum information. During the construction of the evaluation model, the rank–sum ratio (RSR) method was introduced into the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) for approximating ideal solution ranking. And the Euclidean distance in TOPSIS was replaced with standardized Euclidean distance, effectively avoiding evaluation discrepancies caused by different dimensions. The modified TOPSIS-RSR method was utilized to evaluate and rank power transmission and transformation projects in four regions. By comparing the test values of the two models, the superiority of the enhanced model was confirmed. Furthermore, the GM (1,1) model is used to predict the electricity sales volume of the optimal ranking area. This evaluation model can also be applied to the benefit evaluation of carbon reduction benefits in power transmission and transformation projects in other regions. Full article
(This article belongs to the Section B: Energy and Environment)
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22 pages, 4462 KB  
Article
Characteristics of Urban Flood Resilience Evolution and Analysis of Influencing Factors: A Case Study of Yingtan City, China
by Donghai Yuan, Hui Wang, Chen Wang, Chenling Yan, Lili Xu, Chunyang Zhang, Jiazhuo Wang and Yingying Kou
Water 2024, 16(6), 834; https://doi.org/10.3390/w16060834 - 13 Mar 2024
Cited by 10 | Viewed by 4377
Abstract
Intense climate change and rapid urbanization have increased the risk of urban flooding, seriously affecting urban economic and social stability. Enhancing urban flood resilience (UFR) has required a new solution to cope with urban flood disasters. In this study, taking Yingtan city as [...] Read more.
Intense climate change and rapid urbanization have increased the risk of urban flooding, seriously affecting urban economic and social stability. Enhancing urban flood resilience (UFR) has required a new solution to cope with urban flood disasters. In this study, taking Yingtan city as an example, a system of indicators for evaluating UFR was constructed, with 17 representative indicators, comprising three subsystems: socio-economic, ecological, and infrastructural. A hybrid model combining Fuzzy Analytic Hierarchy Process (FAHP), Entropy Weight Method (EWM), and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) was applied, to develop an index-based measurement to compare and evaluate UFR, and Gray Relational Analysis (GRA) was used to discover the main factors affecting UFR. In addition, the natural discontinuous method was innovatively used to divide the UFR grade interval into levels, and the grade change was evaluated based on the TOPSIS method. The results showed that (1) From 2010 to 2022, the UFR in Yingtan City increased by 80.69%, and the factors affecting UFR were highly correlated with urban infrastructure development; however, the ecological resilience in the subsystem showed a fluctuating downward trend because of the influence of the surface area of lakes and rivers; (2) The grades of UFR for Yingtan City increased from Level III (2010 and 2016) to Level IV (2022), with local financial expenditures and the age structure of the population being the main factors currently limiting the development of UFR. The study provides a theoretical basis for the construction of an indicator system for assessing the UFR of Yingtan and proposes practical improvement directions for UFR. Full article
(This article belongs to the Special Issue Urban Flood Mitigation and Sustainable Stormwater Management)
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25 pages, 2229 KB  
Article
Architectural Cultural Heritage Conservation: Fire Risk Assessment of Ancient Vernacular Residences Based on FAHP and EWM
by Guokai Li, Hongping Yuan, Yi Shan, Guiye Lin, Guojie Xie and Andrea Giordano
Appl. Sci. 2023, 13(22), 12368; https://doi.org/10.3390/app132212368 - 15 Nov 2023
Cited by 20 | Viewed by 3466
Abstract
The architectural relics of ancient vernacular residences and villages with brick–timber structures are at great risk of fire; if one occurs, they cannot be recovered. To protect this cultural heritage, this study takes a southern Guangdong He Xinwu building complex as a case [...] Read more.
The architectural relics of ancient vernacular residences and villages with brick–timber structures are at great risk of fire; if one occurs, they cannot be recovered. To protect this cultural heritage, this study takes a southern Guangdong He Xinwu building complex as a case study. It focuses on four indicator systems: human factors, facility factors, environmental factors, and social management factors, and 20 sub-indicators to establish an assessment system for fire risk in vernacular residences. Combining triangular fuzzy hierarchical analysis and the entropy weight method to determine weight values reduces evaluation subjectivity, allowing for both qualitative and quantitative measurements to derive the safety level and determine key fire risk factors. The results showed that human misconduct and social management of fire had the greatest impact on fire risk (29% and 25.8%, respectively). The most important secondary indicators were the ability to fight fires early on, the fire resistance level of building materials, fire rescue capability, fire load, and electricity use by villagers. Moreover, comparing differences in protection between ancient houses and high-rise buildings provided targeted policy recommendations that offer a new perspective for protecting architectural heritage from fires. Full article
(This article belongs to the Section Civil Engineering)
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