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Search Results (581)

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Keywords = fuzzy C-mean clustering

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41 pages, 11176 KB  
Article
Soft Disagreement-Based Adaptive Uncertainty Regulation for Fuzzy Servo Control
by Dosti Kheder Abbas and Sadegh Abdollah Aminifar
Actuators 2026, 15(9), 476; https://doi.org/10.3390/act15090476 - 3 Sep 2026
Viewed by 219
Abstract
This paper proposes a supervisory soft disagreement framework for adaptive uncertainty regulation in Interval Type-2 (IT2) fuzzy servo control and validates its performance through embedded implementation on an industrial servo platform. The proposed framework introduces a supervisory learning layer that combines supervised classification [...] Read more.
This paper proposes a supervisory soft disagreement framework for adaptive uncertainty regulation in Interval Type-2 (IT2) fuzzy servo control and validates its performance through embedded implementation on an industrial servo platform. The proposed framework introduces a supervisory learning layer that combines supervised classification and unsupervised fuzzy clustering to characterize servo operating conditions using experimentally extracted performance indicators, including rise time, settling time, overshoot, steady-state error, Integral Absolute Error (IAE), control-effort energy, tracking-error standard deviation, and maximum control effort. Operating condition confidence is quantified by measuring the soft disagreement between the posterior class probabilities of a Support Vector Machine (SVM) classifier and the normalized membership degrees of a Fuzzy C-Means (FCM) clustering algorithm using the Bhattacharyya coefficient. The resulting disagreement index adaptively regulates the Footprint of Uncertainty (FOU) of the antecedent membership functions in IT2 fuzzy controller. A closed-form Uncertainty Avoider Defuzzification (UAD) strategy enables computationally efficient uncertainty-aware type reduction for real-time embedded implementation without iterative procedures. The framework was trained using experimental data collected from a Delta ASDA-B2 400 W industrial servo drive under diverse operating conditions. The complete controller was implemented on a Raspberry Pi and experimentally compared with conventional Proportional–Integral–Derivative (PID), Type-1, and fixed-FOU IT2 fuzzy controllers. Experimental results show that the proposed controller achieved an average IAE of 1.08, representing improvements of 55.6% and 27.5% over the PID and fixed-FOU IT2 controllers, respectively. Overshoot was reduced to 2.2% and settling time to 0.24 s, while the supervisory computation required only 4.55 ms, confirming real-time feasibility. The scientific significance of this work lies in introducing a new disagreement-driven supervisory paradigm that links probabilistic machine learning confidence with adaptive fuzzy uncertainty regulation. By establishing a principled connection among supervised learning, unsupervised learning, and Interval Type-2 fuzzy control, the proposed framework provides a general foundation for confidence-aware adaptive uncertainty management in intelligent control systems operating under uncertain and time-varying conditions. Full article
(This article belongs to the Section Control Systems)
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12 pages, 2749 KB  
Article
Integrated Management Zone Delineation in Small-Scale Precision Agriculture Using Multi-Spectral Satellite Imagery and Fuzzy C-Means Clustering
by Dimitrios Triantakonstantis, Dionysios Faltsetas, Despoina Vlachaki, Ioannis Sebos, Frank A. Coutelieris and Nikos Koutsias
AI Precis. Agric. 2026, 1(1), 3; https://doi.org/10.3390/aipa1010003 - 3 Sep 2026
Viewed by 200
Abstract
Soil variability within agricultural fields is rarely captured by conventional management, which applies inputs uniformly regardless of underlying spatial heterogeneity. This exploratory study evaluated whether freely available Sentinel-2 multispectral imagery, processed through Fuzzy C-Means (FCM) clustering in an open-source GIS environment, can support [...] Read more.
Soil variability within agricultural fields is rarely captured by conventional management, which applies inputs uniformly regardless of underlying spatial heterogeneity. This exploratory study evaluated whether freely available Sentinel-2 multispectral imagery, processed through Fuzzy C-Means (FCM) clustering in an open-source GIS environment, can support preliminary management-zone delineation in a small Mediterranean alfalfa field and whether targeted soil sampling can provide site-specific ground-truth evidence for the resulting zones. A Sentinel-2 Level-2A Bottom-of-Atmosphere (BOA) image acquired on 26 April 2022 from tile T34SDJ during peak alfalfa canopy development was used to calculate four spectral indices: Normalized Difference Vegetation Index (NDVI), Soil Adjusted Vegetation Index (SAVI), Enhanced Vegetation Index (EVI), and Normalized Difference Water Index (NDWI). These indices were standardized prior to clustering and synthesized through FCM to delineate management zones within a field of 8 ha in Etoloakarnania, western Greece. Six georeferenced composite soil samples were then collected from locations within the mapped zones to provide preliminary validation of the spectral zones. The two zones showed strong directional differences in several soil fertility indicators. Available phosphorus differed by a factor of 6.5 between zones (62.0 vs. 9.45 mg kg−1), with a localized high-value point reaching 110 mg kg−1 within the higher-fertility zone. Exchangeable potassium followed the same pattern (0.71 vs. 0.28 meq 100 g−1). DTPA-extractable iron differed three-fold (112.0 vs. 37.37 mg kg−1) and zinc nearly five-fold (2.79 vs. 0.56 mg kg−1), while pH was virtually identical across zones (6.15–6.20). These results suggest that, in this site-specific case, the combination of Sentinel-2 indices and FCM clustering produced spatial zones that were broadly consistent with measured soil-fertility contrasts. However, because the validation dataset consisted of only six composite soil samples and because sample-level FCM membership scores, spectral-index values, and formal cluster-validity diagnostics were not retained from the original workflow, the findings should be interpreted as an exploratory screening exercise rather than as a validated decision-support tool. Further soil sampling, yield or biomass monitoring, multi-season assessment, formal cluster diagnostics, and local fertilizer-threshold evaluation are required before operational nutrient prescriptions are implemented. Full article
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14 pages, 1958 KB  
Article
Research on Virtual Synchronous Machine Control of Air Conditioner Loads Participating in Power Frequency Regulation
by Tian Gao, Yonghua Chen, Shaohua Liu, Chuanxin Wen, De’an Wang, Xiang Li, Jiatian Zhang and Jiao Du
Processes 2026, 14(17), 2726; https://doi.org/10.3390/pr14172726 - 26 Aug 2026
Viewed by 361
Abstract
High penetration of renewable energy reduces power-system inertia and increases the need for fast-frequency-support resources. This study proposes an integrated virtual synchronous machine (VSM) control framework for clusters of variable-frequency air conditioners (VFACs). The proposed method incorporates synchronous-machine-like inertia and damping into compressor-side [...] Read more.
High penetration of renewable energy reduces power-system inertia and increases the need for fast-frequency-support resources. This study proposes an integrated virtual synchronous machine (VSM) control framework for clusters of variable-frequency air conditioners (VFACs). The proposed method incorporates synchronous-machine-like inertia and damping into compressor-side power control, aggregates heterogeneous VFACs using fuzzy C-means clustering, and adaptively adjusts virtual inertia according to grid-frequency variations. Virtual-storage flexibility is further incorporated into coordinated frequency regulation. Simulations on the IEEE two-machine, five-node system verify the effectiveness of the proposed framework. Under a representative 3 MW load-increase disturbance, the frequency deviation from the nominal value is reduced from 0.11 Hz to 0.04 Hz. The results indicate that large-scale VFAC clusters can provide fast and coordinated demand-side frequency support while improving system frequency stability. Full article
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33 pages, 6003 KB  
Article
Unsupervised Gaussian-Noise-Robust Remote Sensing Change Detection via FRFCM-IRM Change Intensity Modeling and SEEDSAM-Constrained HCRF
by Lei Fan, Jiaxin Song, Yikun Li, Yuxi Hu and Yingang Ren
Remote Sens. 2026, 18(16), 2821; https://doi.org/10.3390/rs18162821 - 20 Aug 2026
Viewed by 259
Abstract
Remote sensing change detection technology is widely used in land-use monitoring, urban planning, and disaster assessment. However, during imaging and transmission, bi-temporal remote sensing images are vulnerable to Gaussian noise, which makes it difficult for change detection algorithms to distinguish truly changed areas [...] Read more.
Remote sensing change detection technology is widely used in land-use monitoring, urban planning, and disaster assessment. However, during imaging and transmission, bi-temporal remote sensing images are vulnerable to Gaussian noise, which makes it difficult for change detection algorithms to distinguish truly changed areas from noise-affected regions. To address this issue, this study proposes an unsupervised Gaussian-noise-robust change detection algorithm, termed FRIH-SEEDSAM. The proposed method first applies the Fast and Robust Fuzzy C-Means (FRFCM) algorithm to perform noise-resistant fuzzy clustering on bi-temporal remote sensing images. To establish reliable correspondences between the clustering results, the Integrated Region Matching (IRM) algorithm is introduced to construct weighted matching relationships while reducing the influence of abnormal memberships. The change intensity of spatially corresponding pixels is then calculated to generate a more stable change intensity map. Subsequently, the change intensity map is input into the Hybrid Conditional Random Field (HCRF) to infer pixel-level change labels, where the object potential function is constructed from the segmentation results of the Superpixels Extracted via Energy-Driven Sampling (SEEDS)-guided Segment Anything Model (SEEDSAM), which uses the centroids of the SEEDS superpixel regions as point prompts for the SAM, thereby enhancing change-label consistency within the same changed object region. The experimental results show that the FRIH-SEEDSAM algorithm maintains stable change detection performance across different datasets and under varying Gaussian noise levels. It outperforms the comparison algorithms in terms of several accuracy evaluation indicators, including Kappa and F1. Furthermore, even when the Gaussian noise variance increases to 0.05, Kappa remains at 0.8 or above on multiple dataset images. Full article
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28 pages, 5754 KB  
Article
Exploring a Non-Invasive Fatigue Assessment Framework for Remote Tower Scenarios: A Simulation Study
by Qingwei Zhong, Mingsiyu Pan, Xu Yan, Weijun Pan and Yingxue Yu
Aerospace 2026, 13(8), 739; https://doi.org/10.3390/aerospace13080739 - 19 Aug 2026
Viewed by 278
Abstract
Accurately assessing the fatigue levels of air traffic controllers is crucial for reducing human errors in ATC and ensuring the safe and orderly operation of the civil aviation transportation system. In remote tower scenarios, air traffic controllers’ work environments and task interaction modes [...] Read more.
Accurately assessing the fatigue levels of air traffic controllers is crucial for reducing human errors in ATC and ensuring the safe and orderly operation of the civil aviation transportation system. In remote tower scenarios, air traffic controllers’ work environments and task interaction modes differ significantly from those in traditional towers, and traditional fatigue detection approaches relying on physiological monitoring can cause intrusive disruptions to ATC operations. To overcome these limitations, this study proposes a scenario-based, non-invasive assessment framework for accurate and low-interference fatigue recognition. Taking three key scenario elements (traffic load, main operation screen brightness, and core work area illuminance) as the basis for measuring fatigue, the framework bridges the mapping from scenario elements to fatigue status, thereby enabling the transition of assessment inputs from physiological metrics to scenario features. In this mapping, fatigue labels are determined using a fusion strategy. Specifically, objective fatigue labels are derived from optimal wave features extracted from electroencephalogram data using one-way analysis of variance (OW-ANOVA), which are then fused with subjective labels based on the Karolinska Sleepiness Scale (KSS) self-reports through fuzzy C-means (FCM) clustering. Ultimately, a hybrid intelligent classification model integrating the Gannet optimization algorithm (GOA) and random forest (RF) is constructed to perform the primary assessment task. The experimental results indicate that the proposed framework achieves a recognition accuracy of 95.00%, outperforming six other commonly used classification or combination models. Ablation experiments and robustness tests validate the effectiveness of the fused labeling strategy and GOA modules, as well as the method’s excellent stability in resisting data noise. Furthermore, feature interpretability analysis reveals the quantitative influence of the three core fatigue drivers used. The research findings confirm the feasibility of non-invasive fatigue assessment for remote tower controllers leveraging scenario-based elements, which can offer intelligent decision support for controller shift scheduling, visual environment optimization, and targeted safety interventions. Full article
(This article belongs to the Section Air Traffic and Transportation)
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46 pages, 2467 KB  
Article
Fuzzy Model Identification and Trajectory Control for Agricultural Tractor Robots: An Optimal Hybrid Methodology
by Angel de Jesus Castro-Romero, Julio Cesar Ramos-Fernández, Marco Antonio Márquez-Vera, Juan Manuel Xicoténcatl-Peréz, Salatiel Garcia Nava, Jorge Alberto Ruiz-Vanoye and Sébastien Paris
Mach. Learn. Knowl. Extr. 2026, 8(8), 240; https://doi.org/10.3390/make8080240 - 12 Aug 2026
Viewed by 384
Abstract
Autonomous agricultural robots require accurate trajectory tracking to perform precision field operations such as seeding, fertilization, and pruning. Classical kinematic models fail to capture the nonlinear dynamics inherent to real field conditions, limiting the performance of model-based control strategies. This work proposes an [...] Read more.
Autonomous agricultural robots require accurate trajectory tracking to perform precision field operations such as seeding, fertilization, and pruning. Classical kinematic models fail to capture the nonlinear dynamics inherent to real field conditions, limiting the performance of model-based control strategies. This work proposes an optimal hybrid methodology integrating Takagi–Sugeno (T–S) fuzzy model identification and Pure Pursuit (PP) control within a Particle Swarm Optimization (PSO) framework for a simulated pruning tractor. Data-driven T–S fuzzy models for incremental displacements MΔx and MΔy are identified using Fuzzy C-Means and parameterized via PSO. These fuzzy models are embedded in a PP feedback control scheme with discrete-time PI velocity and PD steering controllers, whose four gains are tuned by a second PSO instance. The fuzzy models achieve identification Root-Mean-Square Errors (RMSEs) of 10.598 × 10−3 m and 8.125 × 10−3 m. Integrated into the control loop, the system yields a lateral RMSE of 6.6 × 10−3 m on the training path and generalizes effectively across twelve complex agricultural coverage trajectories, maintaining a lateral RMSE below 12 × 10−3 m and heading RMSE under 1 degree. This interpretable, fuzzy rule-based approach provides an accurate and replicable simulation baseline for future experimental implementation on physical platforms. Full article
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31 pages, 12538 KB  
Article
Spatio-Temporal Dynamics and Environmental Drivers of Surface Chlorophyll-a in the Gulf of Guinea (2003–2022)
by Loïc Cabrel Youmbi Tchaewo, Charles Verpoorter and Elena Alekseenko
Remote Sens. 2026, 18(16), 2717; https://doi.org/10.3390/rs18162717 - 12 Aug 2026
Viewed by 513
Abstract
The mechanistic understanding of biogeochemical dynamics in the Gulf of Guinea (GoG) has historically been hindered by persistent cloud cover and reliance on static geographic boundaries. In this study, we analysed a 20-year (2003–2022) satellite-derived chlorophyll-a (Chl-a) dataset to overcome these observational limitations [...] Read more.
The mechanistic understanding of biogeochemical dynamics in the Gulf of Guinea (GoG) has historically been hindered by persistent cloud cover and reliance on static geographic boundaries. In this study, we analysed a 20-year (2003–2022) satellite-derived chlorophyll-a (Chl-a) dataset to overcome these observational limitations through a three-part spatial and machine-learning framework. First, the Data Interpolating Empirical Orthogonal Functions (DINEOF) algorithm reconstructed a gap-free climatology, demonstrating robustness under extreme simulated cloud cover (R2 = 0.884). Second, a Fuzzy C-Means (FCM) clustering algorithm objectively partitioned the basin into three dynamic, physically driven bioregions: an oligotrophic gyre, river plumes, and an upwelling mega-cluster. Third, we applied an explainable Random Forest framework, supported by SHapley Additive exPlanations (SHAP), to identify the main physical and biogeochemical predictors associated with coastal Chl-a variability using hindcast nutrients and a strict chronological split (training: 2003–2018; test: 2019–2022). The models produced conservative but meaningful independent test-period performance across coastal zones, with R2log values from 0.437 to 0.595. Rather than revealing a new ecological paradox, the framework provides a basin-specific interpretation of a globally documented pattern: offshore oligotrophication alongside localized coastal enrichment. The open ocean and transition/upwelling sectors show negative Chl-a tendencies consistent with sea surface warming, enhanced stratification, and reduced upward nutrient supply. Conversely, coastal ecosystems are structured by local hydrological and wind-driven forcings that modulate the regional climate signal. In the Congo plume, Chl-a variability is primarily structured by haline plume dynamics and secondary nutrient constraints, whereas the Niger plume reflects coupled mixed-layer and terrigenous nutrient controls. These findings establish a spatially objective typology of the GoG, providing a regional reference framework for future high-resolution missions, monitoring, and coupled physical–biogeochemical modelling. Full article
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33 pages, 18737 KB  
Article
A Dual-Track Feature-Enhanced Physics-Informed Model for Accurate Wind Power Forecasting with Physical Consistency
by Yihua Shu, Renlin Pei and Yanxin Liu
Processes 2026, 14(16), 2560; https://doi.org/10.3390/pr14162560 - 11 Aug 2026
Viewed by 508
Abstract
In response to stochastic fluctuations in large-scale wind power integration and the resulting peak-shaving challenges, high-precision forecasting with physical consistency is essential for grid safety. To address the inefficiency of physical models and poor interpretability of data-driven methods, this paper proposes a hybrid [...] Read more.
In response to stochastic fluctuations in large-scale wind power integration and the resulting peak-shaving challenges, high-precision forecasting with physical consistency is essential for grid safety. To address the inefficiency of physical models and poor interpretability of data-driven methods, this paper proposes a hybrid FCM-WGM-BiLSTM-Transformer (FW-BTP) framework integrating Fuzzy C-Means (FCM) clustering, Weighted Grey Model (WGM) trend extraction, and a coupled BiLSTM-Transformer module. Physical prior knowledge—wind turbine power curves—is embedded into the loss function via a Physics-Guided Loss Regularization (PGL) mechanism. Validated on measured data from a Xinjiang wind farm, the model achieves an R2 of 0.9967, MAE of 6.11, and RMSE of 11.19. The proposed model reduces R2 by 37% compared to the newer model KAN, and compared to the better-performing recurrent baseline model (BiLSTM, MAE = 8.75 MW), the proposed FW-BTP model reduces the MAE by 30% (to 6.12 MW). Ablation studies confirm the WGM reduces LogCosh loss from 9.57 to 5.12, and SHAP analysis verifies sensitivity to trend and physical wind speed features. The framework balances accuracy, robustness, and interpretability, supporting refined scheduling in modern power systems. Full article
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14 pages, 1135 KB  
Article
Signal Phase-Driven Traffic State Characterization: A Precision Approach for Urban Intersection Analysis
by Zhengjun Li, Feng Luo, Liangjie Xu, Xinquan Zu, Yichen Xu and Feng Ji
Appl. Sci. 2026, 16(15), 7739; https://doi.org/10.3390/app16157739 - 4 Aug 2026
Viewed by 268
Abstract
Data-driven traffic state identification classifies traffic states by mining the operational characteristics of traffic flow, so as to support traffic control and management. Due to the influence of signal phases, it is difficult to accurately classify nonlinear traffic flow. To address this issue, [...] Read more.
Data-driven traffic state identification classifies traffic states by mining the operational characteristics of traffic flow, so as to support traffic control and management. Due to the influence of signal phases, it is difficult to accurately classify nonlinear traffic flow. To address this issue, this study proposes a refined traffic state identification method based on intersection phases, aiming at the complex traffic flow characteristics of signalized intersections. First, the collected traffic flow data are segmented and reorganized according to the signal phase scheme. Training samples with “traffic state” labels are obtained using the Fuzzy C-Means (FCM) clustering algorithm optimized by the Rime Optimization Algorithm (RIME), i.e., the RIME-FCM algorithm. Then, the XGBoost model optimized by Bayesian optimization (BO-XGBoost-SHAP) is applied to achieve accurate identification of traffic data. Finally, the effectiveness of the proposed method is verified using real road data. The results show that this method can effectively estimate the traffic flow state of signalized intersections and avoid “false congestion”. Full article
(This article belongs to the Section Transportation and Future Mobility)
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24 pages, 5767 KB  
Article
A Novel Non-Invasive Method for Real-Time Monitoring of Plant Water Status Based on Xylem Electrical Conductivity
by Junchao Huang, Jiahui Huang, Junjie Gu and Xuzhuang Yao
Agronomy 2026, 16(15), 1427; https://doi.org/10.3390/agronomy16151427 - 27 Jul 2026
Viewed by 396
Abstract
Non-invasive, real-time monitoring of plant water status is critical for precision agriculture and plant physiology. However, existing methods often lack continuous in situ measurement capability or are limited by temporal resolution. This paper proposes a novel non-invasive method based on xylem electrical conductivity, [...] Read more.
Non-invasive, real-time monitoring of plant water status is critical for precision agriculture and plant physiology. However, existing methods often lack continuous in situ measurement capability or are limited by temporal resolution. This paper proposes a novel non-invasive method based on xylem electrical conductivity, inspired by industrial non-contact fluid measurement. As a ground-based complement to remote sensing, this approach demonstrates the feasibility of online, in situ, and non-invasive monitoring of water stress in grapevine stems under controlled laboratory conditions. The industrial C4D sensing system is adaptively modified into a specialized Plant-C4D sensor with an array-based design for batch signal acquisition. To validate the electrical response to water loss, a gravimetric natural dehydration experiment was conducted, demonstrating a clear correlation between electrical signals and water content changes in detached stem samples. Full-day dynamic experiments are conducted under three conditions: normal water supply, varying water stress, and plant inactivation. Sensitive characteristic parameters are extracted through signal analysis, and a pattern recognition framework is established to eliminate environmental interference and suppress individual differences. Experimental results on 24 plant samples (Shine Muscat) show that the method accurately discriminates viable from inactivated plants with an accuracy of 91.67% (22/24 correct). Furthermore, the Fuzzy C-Means (FCM) clustering algorithm successfully quantifies the severity of water stress in viable plants, yielding results consistent with actual water supply conditions. While these findings demonstrate the capability of Plant-C4D sensor to capture stem water status-related information, the current results do not establish full physiological validation, warranting further exploration with in vivo experiments. Full article
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16 pages, 1305 KB  
Article
GA-Optimized Feature Weighting for Fuzzy C-Means Classification
by Zhiwen Li, Xinghua Wang, Yongtao Li and Yubin Zhong
Mathematics 2026, 14(14), 2609; https://doi.org/10.3390/math14142609 - 18 Jul 2026
Viewed by 376
Abstract
The problem of insufficient classification accuracy in fuzzy clustering algorithms for multidimensional data is addressed in this paper. To tackle this issue, an improved genetic algorithm (GA)-based fuzzy controller is proposed, which combines the advantages of an improved genetic algorithm and a fuzzy [...] Read more.
The problem of insufficient classification accuracy in fuzzy clustering algorithms for multidimensional data is addressed in this paper. To tackle this issue, an improved genetic algorithm (GA)-based fuzzy controller is proposed, which combines the advantages of an improved genetic algorithm and a fuzzy C-means (FCM) clustering algorithm. The population initialization is performed using the Tent chaotic map, while the best individual retention strategy and last elimination selection operator are employed to adjust the population structure. Furthermore, an elitist crossover operator, an adaptive trial mutation operator, and a nonlinear convergence factor are introduced to mitigate the risk of falling into local optima. The controller algorithm integrates the intermediate parameters of FCM clustering into the fitness function of the genetic algorithm, and effectively improves the classification accuracy by screening the optimal feature subset and then fuzzy clustering. The experimental results on the Pistachio, WDBC, and Wine datasets show that the proposed method achieves competitive classification accuracy compared with other FCM-based feature-weighting optimization methods. Full article
(This article belongs to the Special Issue Advances in Fuzzy Intelligence and Non-Classical Logical Computing)
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36 pages, 35950 KB  
Article
Application of a Beaufort Scale-Based Mimetic System in Camouflage Garment Design
by Shih-Wen Hsiao and Po-Hsiang Peng
Inventions 2026, 11(4), 71; https://doi.org/10.3390/inventions11040071 - 9 Jul 2026
Viewed by 533
Abstract
Camouflage design for jungle environments has conventionally relied on the static optimization of color, texture, and edge features, presuming that the background remains visually stable. This presumption diverges from real conditions, in which wind continuously alters leaf orientation and vegetation texture, leaving a [...] Read more.
Camouflage design for jungle environments has conventionally relied on the static optimization of color, texture, and edge features, presuming that the background remains visually stable. This presumption diverges from real conditions, in which wind continuously alters leaf orientation and vegetation texture, leaving a gap between static optimization and dynamic visual reality. To address this limitation, this study developed a systematic camouflage design process that integrates the Beaufort scale into a mimetic system for simulating vegetation sway. Dominant colors were extracted using the CIE L*a*b* color space and K-means clustering, and background maps were generated via Gaussian blur. Leaf textures from five plant species were arranged through seamless tiling and overlaid onto the backgrounds to form 15 camouflage samples. Validation employed a fuzzy logic questionnaire and eye-tracking measurements. Under the present experimental conditions, which used screen presentation under visible light, pattern A-13 performed best. Derived from the Terminalia mantaly leaf texture in the dark green variant, it achieved the most favorable balance between distinctiveness from the regional reference pattern and disruption of target–background segmentation, whereas C-15, the light green variant, consistently ranked last. The proposed process is reproducible and applicable to civilian equipment such as tents and backpacks. Full article
(This article belongs to the Special Issue 10th Anniversary of Inventions)
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25 pages, 24555 KB  
Article
Extraction of Non-Motorized Lane Information and Rideability Assessment Framework Based on Cycling Data
by Ruibo Cong, Xiaoya An, Yuqing Niu, Lu Luo, Bozhao Li and Zhongliang Cai
ISPRS Int. J. Geo-Inf. 2026, 15(7), 311; https://doi.org/10.3390/ijgi15070311 - 8 Jul 2026
Viewed by 601
Abstract
As demand for non-motorized travel continues to rise, the underdevelopment of non-motorized lane infrastructure in high-density cities has become increasingly evident, affecting cyclists’ travel experience and safety. Existing cycling environment assessment methods have developed relatively comprehensive frameworks, but they still have difficulty capturing [...] Read more.
As demand for non-motorized travel continues to rise, the underdevelopment of non-motorized lane infrastructure in high-density cities has become increasingly evident, affecting cyclists’ travel experience and safety. Existing cycling environment assessment methods have developed relatively comprehensive frameworks, but they still have difficulty capturing the various disturbances encountered during actual cycling and identifying segment-level problems for targeted interventions. To address these limitations, this study proposes a cycling-data-based framework for non-motorized lane information extraction and rideability assessment. The framework integrates cycling trajectories, first-person cycling videos, urban road networks, and points of interest (POIs) to extract information on road space, facility attributes, pavement conditions, visual environment, and static and dynamic disturbances, and further transforms this information into segment-level rideability assessment indicators. On this basis, an assessment system covering safety, comfort, attractiveness, and accessibility is constructed, and Wuhan is used as an empirical case study. Fuzzy C-means (FCM) clustering is then applied to identify six typical lane types and support differentiated governance strategies. The findings provide practical references for non-motorized lane planning, slow-traffic space improvement, and the management of motorized–non-motorized traffic conflicts. Full article
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36 pages, 15226 KB  
Article
Fuzzy and Explainable AI for CMB Polarization Segmentation: Regional Stability Under Controlled Perturbations
by Gabriel Marín Díaz
Mathematics 2026, 14(13), 2269; https://doi.org/10.3390/math14132269 - 25 Jun 2026
Viewed by 382
Abstract
The cosmic microwave background (CMB) contains key information about the early Universe, particularly through its polarization structure. This work proposes a Fuzzy and Explainable Artificial Intelligence framework (FAS-XAI) for the regional analysis of CMB polarization using Planck SMICA data. From the Stokes components [...] Read more.
The cosmic microwave background (CMB) contains key information about the early Universe, particularly through its polarization structure. This work proposes a Fuzzy and Explainable Artificial Intelligence framework (FAS-XAI) for the regional analysis of CMB polarization using Planck SMICA data. From the Stokes components Q and U, the polarization amplitude P and the scalar polarization modes E and B are derived. Regional features are then extracted over a HEALPix grid, considering only polarization-valid regions defined by the Planck polarization mask. Fuzzy C-Means identifies four interpretable polarization regimes: high-polarization structured regions, E-dominated medium-polarization regions, B-enhanced medium-polarization regions, and low-polarization regions. An XGBoost-SHAP layer is used to explain the resulting fuzzy memberships. XGBoost accurately reproduces the memberships, with R2>0.98 for all clusters, while SHAP confirms the physical relevance of amplitude-related features and the log(B/E) balance. Finally, controlled perturbations in P and log(B/E) reveal a globally robust fuzzy structure with localized sensitivity. The proposed framework provides an interpretable methodology for studying regional CMB polarization patterns and their stability under controlled perturbations. Full article
(This article belongs to the Special Issue Mathematical and Computational Frameworks in Astrophysics)
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17 pages, 761 KB  
Article
Metric Measure on Bipolar Fuzzy Sets: Mathematical Properties and Applications in Sentiment Analysis
by Janet Kez, Mohamed Shenify and Fokrul Alom Mazarbhuiya
AppliedMath 2026, 6(7), 103; https://doi.org/10.3390/appliedmath6070103 - 25 Jun 2026
Viewed by 362
Abstract
Bipolar fuzzy sets provide an effective framework for representing both positive and negative aspects of information. The necessity of a mathematically rigorous and valid distance measure in bipolar fuzzy environments motivates us to introduce a new real-valued function on the set of bipolar [...] Read more.
Bipolar fuzzy sets provide an effective framework for representing both positive and negative aspects of information. The necessity of a mathematically rigorous and valid distance measure in bipolar fuzzy environments motivates us to introduce a new real-valued function on the set of bipolar fuzzy sets defined over both discrete and continuous universes of discourse. The proposed function is shown to define a valid metric on the set of bipolar fuzzy sets, as it satisfies all the metric axioms. The metric induced by the real-valued function is inspired by the Canberra distance, and it can effectively quantify the dissimilarity between bipolar fuzzy sets in a normalized and interpretable manner. The practical utility of the proposed metric is demonstrated in a pattern recognition problem, where it successfully recognizes an unknown pattern using known bipolar fuzzy patterns. Using the proposed metric, a bipolar fuzzy C-means clustering algorithm is developed for sentiment analysis. The time complexity of the aforementioned algorithm is also analysed. Experiments conducted on the IMDb Movie Review Dataset demonstrate that the proposed algorithm outperforms k-means, fuzzy C-means, and intuitionistic fuzzy C-means algorithms. The proposed bipolar fuzzy C-means algorithm achieves an accuracy of 90.04%, a precision of 90.51%, a recall of 89.01%, an F1-score of 89.75%, a Root mean square error of 0.1191, and a Silhouette score of 0.75. The findings establish that the proposed metric and the associated bipolar fuzzy clustering approach provide a robust and effective framework of handling sentiment data associated with simultaneous positive and negative opinions. Full article
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