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Keywords = fuzzy planning

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25 pages, 3858 KB  
Article
Research on Vehicle Obstacle Avoidance Control Based on Improved Artificial Potential Field Method and Fuzzy Model Predictive Control
by Qiusheng Liu, Zhiliang Song, Xiaoyu Xu, Jian Wang and Joan P. Lazaro
Vehicles 2026, 8(4), 86; https://doi.org/10.3390/vehicles8040086 - 9 Apr 2026
Abstract
To address the emergency obstacle-avoidance problem of intelligent vehicles on structured roads, this paper proposes an integrated planning and control method that combines an improved Artificial Potential Field (APF) with fuzzy Model Predictive Control (MPC). Different from a direct APF + MPC combination, [...] Read more.
To address the emergency obstacle-avoidance problem of intelligent vehicles on structured roads, this paper proposes an integrated planning and control method that combines an improved Artificial Potential Field (APF) with fuzzy Model Predictive Control (MPC). Different from a direct APF + MPC combination, the planning layer introduces a braking-distance threshold, an effective obstacle-influence boundary, and sinusoidal shape factors to reshape the obstacle repulsive field and alleviate local-minimum behavior. A seventh-order polynomial smoothing strategy is then adopted to generate a reference path with higher-order continuity. For trajectory tracking, a fuzzy adaptive MPC controller adjusts the prediction horizon and control horizon online according to lateral error, while a fuzzy PID controller regulates longitudinal speed. MATLAB/Simulink and CarSim co-simulation results in single-static, double-static, and double-dynamic obstacle scenarios show that the proposed method can generate smoother trajectories and achieve more stable tracking, thereby improving obstacle-avoidance safety and ride comfort. In the double-static scenario, the peak lateral error is reduced from about 0.7 m to within 0.1 m, while in the double-dynamic scenario the longitudinal speed is maintained within 78–80 km/h instead of dropping to about 67 km/h under the baseline controller. The study provides a practical technical framework for integrated decision-planning-control design in structured-road intelligent vehicles. Full article
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33 pages, 2162 KB  
Article
Hybrid Narwhale Optimization with Super Modified Simplex and Runge–Kutta Enhancements: Benchmark Validation and Application to Fuzzy Aggregate Production Planning
by Pasura Aungkulanon, Anucha Hirunwat, Roberto Montemanni and Pongchanun Luangpaiboon
Algorithms 2026, 19(4), 295; https://doi.org/10.3390/a19040295 - 9 Apr 2026
Abstract
Aggregate production planning (APP) helps medium-term production, manpower, inventory, and subcontracting decisions match expected demand. Deterministic planning models are generally ineffective in manufacturing due to demand and operational variability. Fuzzy linear programming (FLP) has been frequently used to describe imprecision using membership functions [...] Read more.
Aggregate production planning (APP) helps medium-term production, manpower, inventory, and subcontracting decisions match expected demand. Deterministic planning models are generally ineffective in manufacturing due to demand and operational variability. Fuzzy linear programming (FLP) has been frequently used to describe imprecision using membership functions and satisfaction levels. Despite its versatility, accurate approaches for solving multi-objective FLP-based APP models become computationally expensive as issue size and complexity increase. Thus, metaheuristic algorithms are widely used, although many still have premature convergence, parameter sensitivity, and restricted scalability. This study investigates the Narwhal Optimization Algorithm (NO) as a population-based metaheuristic framework. It proposes two hybrid variants to improve convergence reliability and constraint-handling capability: NO combined with the Super Modified Simplex Method (SMS) for local refinement and NO integrated with a Runge–Kutta-based optimizer (RK) for search stability. These hybrid techniques are tested for solution quality, convergence behavior, and robustness using eight response-surface benchmark functions and four constrained optimization problems. A real-parameter fuzzy APP problem with three goods and a six-month planning horizon uses the best variations. The Elevator Kinematic Optimization (EKO) algorithm, chosen for its compliance with the same mathematical framework and consistent parameter values, is used to compare the offered solutions fairly and controlled. Fuzzy programming uses a max–min satisfaction framework with linear membership functions from positive and negative ideal solutions. Computational experiments assess solution quality, stability, and efficiency for nominal and ±10% demand disturbances. The hybrid NO variants better resist premature convergence, stabilize solutions, and satisfy users more than the original NO and benchmark approaches. For small and medium-sized organizations in dynamic situations, hybrid narwhal-based optimization appears to be a reliable and scalable decision-support solution for APP problems under uncertainty. Full article
(This article belongs to the Special Issue Optimizing Logistics Activities: Models and Applications)
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42 pages, 1035 KB  
Article
A Novel Integrated Group Decision-Making Framework for Assessing Green Supply Chain Strategies Under Complex Uncertainty
by Shah Zeb Khan, Yasir Akhtar, Wael Mahmoud Mohammad Salameh, Darjan Karabasevic and Dragisa Stanujkic
Systems 2026, 14(4), 418; https://doi.org/10.3390/systems14040418 - 9 Apr 2026
Abstract
Green supply chain management (GSCM) has become essential for organizations seeking to balance environmental sustainability, regulatory compliance, and economic resilience. However, selecting appropriate green supply chain strategies constitutes a complex multicriteria decision-making (MCDM) problem due to diverse sustainability practices, conflicting objectives, dynamic market [...] Read more.
Green supply chain management (GSCM) has become essential for organizations seeking to balance environmental sustainability, regulatory compliance, and economic resilience. However, selecting appropriate green supply chain strategies constitutes a complex multicriteria decision-making (MCDM) problem due to diverse sustainability practices, conflicting objectives, dynamic market conditions, and significant uncertainty in expert evaluations. To address these challenges, this study proposes an intelligent multicriteria group decision-making (MCGDM) framework to assess 15 GSCM strategies across 15 environmental, operational, economic, and regulatory criteria. The framework employs complex fractional orthopair fuzzy sets (CFOFS) to model uncertainty, expert hesitation, and complex-valued judgments. Expert weights are determined using the analytic hierarchy process (AHP), while criteria weights are derived objectively through the entropy method. A modified technique for order preference by similarity to the ideal solution (TOPSIS) is applied to obtain a robust ranking of alternatives. Evaluations from five multidisciplinary experts ensure practical relevance and validity. The results indicate enhanced uncertainty modeling, improved ranking stability, and greater interpretability compared with conventional fuzzy and deterministic approaches. The proposed framework provides a transparent and effective decision support tool for strategic GSCM planning. Full article
30 pages, 5438 KB  
Article
Prioritizing Energy-Efficient Envelope Retrofit Strategies for Existing Residential Buildings in Severe Cold Regions Through Multi-Dimensional Benefit Evaluation
by Jiajia Teng, Conrong Wang, Lei Zhang, Weipeng Yin, Yongze Li and Zijun Wu
Buildings 2026, 16(7), 1451; https://doi.org/10.3390/buildings16071451 - 7 Apr 2026
Viewed by 223
Abstract
Energy-efficient retrofit of existing residential buildings is essential for reducing heating energy demand and carbon emissions in severe cold regions. However, the absence of a structured quantitative evaluation approach often limits effective decision-making in practice. This study develops a multi-dimensional evaluation framework integrating [...] Read more.
Energy-efficient retrofit of existing residential buildings is essential for reducing heating energy demand and carbon emissions in severe cold regions. However, the absence of a structured quantitative evaluation approach often limits effective decision-making in practice. This study develops a multi-dimensional evaluation framework integrating the Fuzzy Delphi Method and Analytic Hierarchy Process (AHP) to assess and prioritize building envelope retrofit strategies. A representative non-energy-efficient residential building in Changchun, China, is selected as a case study. Based on expert consultation, a hierarchical indicator system is established, and indicator weights are determined with satisfactory consistency (CR < 0.1). The results indicate that envelope thermal performance and energy–carbon benefits are the dominant factors influencing retrofit decisions. At the parameter level, insulation thermal conductivity and external wall heat transfer coefficient are identified as the most critical variables. The findings suggest that prioritizing improvements in envelope thermal performance can effectively enhance energy-saving and carbon-reduction performance under practical constraints. The proposed framework provides a practical and transferable decision-support tool for energy-efficient retrofit planning for existing residential buildings in severe cold regions. Full article
(This article belongs to the Section Building Energy, Physics, Environment, and Systems)
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25 pages, 829 KB  
Article
Integrated Hybrid Framework for Urban Traffic Signal Optimization Based on Metaheuristic Algorithm and Fuzzy Multi-Criteria Decision-Making
by Bratislav Lukić, Goran Petrović, Ana Trpković, Srđan Ljubojević and Srđan Dimić
Sustainability 2026, 18(7), 3514; https://doi.org/10.3390/su18073514 - 3 Apr 2026
Viewed by 166
Abstract
Traffic signal control at urban intersections is one of the key determinants of the overall efficiency of the transportation system, given its direct impact on travel time, congestion levels, and emissions of exhaust fumes. This study proposes an integrated hybrid model that combines [...] Read more.
Traffic signal control at urban intersections is one of the key determinants of the overall efficiency of the transportation system, given its direct impact on travel time, congestion levels, and emissions of exhaust fumes. This study proposes an integrated hybrid model that combines a metaheuristic Genetic Algorithm for generating potential signal timing plans with fuzzy multi-criteria decision-making (MCDM) for their evaluation and selection of the optimal solution. In order to determine the relative importance of criteria, the fuzzy methods F-AHP, F-FUCOM, and F-PIPRECIA were employed, thus providing stable assessments of criteria importance under conditions of uncertainty and expert subjectivity. The ranking of generated alternatives was performed by employing the F-TOPSIS, F-WASPAS, and F-ARAS methods, while the robust decision-making rule approach was employed to develop a robust decision-making rule by integrating multiple MCDM methods. The proposed model was tested using data collected from a real urban intersection. The results show that the integrated hybrid approach enables a significantly more reliable selection of the optimal signal timing plan and achieves higher traffic management efficiency compared to traditional methods. The proposed model provides a flexible and scalable framework that can be adapted to different types of intersections and traffic demand conditions, thereby significantly contributing to the development of modern intelligent traffic management systems. Full article
(This article belongs to the Topic Data-Driven Optimization for Smart Urban Mobility)
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25 pages, 11171 KB  
Article
Multilevel Flood Susceptibility Mapping by Fuzzy Sets, Analytical Hierarchy Process, Weighted Linear Combination and Random Forest
by Pece V. Gorsevski and Ivica Milevski
ISPRS Int. J. Geo-Inf. 2026, 15(4), 148; https://doi.org/10.3390/ijgi15040148 - 1 Apr 2026
Viewed by 868
Abstract
Given the increasing frequency and intensity of floods, which are mostly caused by continuous climate change and growing human pressures on the environment, accurately identifying areas that are susceptible to flooding is a crucial priority for risk reduction and long-term land use planning. [...] Read more.
Given the increasing frequency and intensity of floods, which are mostly caused by continuous climate change and growing human pressures on the environment, accurately identifying areas that are susceptible to flooding is a crucial priority for risk reduction and long-term land use planning. Thus, this research examines multilevel flood susceptibility mapping across North Macedonia, using 328 past flood occurrences, 14 conditioning variables derived from a digital elevation model, simplified lithology, and calculated direct runoff. The methodology integrates fuzzy set theory (Fuzzy), analytic hierarchy process (AHP), weighted linear combination (WLC), and random forest (RF) approaches. The two-stage process employs distinct sets of conditioning factors in sequential flood susceptibility mapping: first, generating Fuzzy/AHP/WLC predictions and pseudo-absence data, and second, producing five RF predictions by varying pseudo-absences and binary cutoffs. Validation results indicate that the very high susceptibility class (0.8–1.0) of the Fuzzy/AHP/WLC model predicted 46.6% of flood pixels within 31.6% of the total area. In comparison, the very high susceptibility class of the RF models predicted 88.5%, 78.3%, 60.6%, 48.5%, and 28.3% of flood pixels within 54.7%, 42.2%, 30.5%, 27.0%, and 25.1% of the total area, respectively. The RF models achieved area under the curve (AUC) values exceeding 0.850, with a maximum of 0.966. Additionally, areas of high and low uncertainty were highlighted using a standard deviation map created from the RF models, highlighting agreement/disagreement and potential locations for methodological improvement and focused sampling. The findings also highlight the potential of the multilevel technique for mapping flood susceptibility and call for more research into its potential for future studies and practical uses. Full article
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20 pages, 7287 KB  
Article
Learning How to Live with Risk—The Role of Co-Design for Managing City–Port Thresholds in Castellammare di Stabia, Naples, Italy
by Libera Amenta and Paolo De Martino
Sustainability 2026, 18(7), 3242; https://doi.org/10.3390/su18073242 - 26 Mar 2026
Viewed by 532
Abstract
City–port thresholds are increasingly exposed to multi-risk, including climate change impacts, pollution, and obsolescence of buildings and infrastructure as well as socio-economic marginalization. This paper aims to understand what role co-design—and more generally collaborative planning processes—can play in enabling communities and institutions to [...] Read more.
City–port thresholds are increasingly exposed to multi-risk, including climate change impacts, pollution, and obsolescence of buildings and infrastructure as well as socio-economic marginalization. This paper aims to understand what role co-design—and more generally collaborative planning processes—can play in enabling communities and institutions to learn how to live with risk when managing water, city–port interfaces, and coastal public spaces. To do so, this paper analyses the experience of a co-design workshop held in Castellammare di Stabia, in the Metropolitan Area of Naples, organized within the framework of the research MIRACLE and SPArTaCHus. The results of the workshop show that co-design can act as an effective instrument for developing strategies aimed at the regeneration and valorization of underused, abandoned, or polluted spaces in the coastal thresholds of City–Port areas—wastescapes—that are exposed to multiple risks. In these complex territories new methods are needed to understand, describe and interpret the fuzzy boundaries between the city and the port to collaboratively envision sustainable strategies for urban regeneration of coastal wastescapes. Full article
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23 pages, 450 KB  
Article
From Hazard Prioritization to Object-Level Risk Management in Drinking Water Systems: A Class-Based FPOR Framework for Priority Premises
by Izabela Piegdoń, Barbara Tchórzewska-Cieślak and Jakub Raček
Appl. Sci. 2026, 16(7), 3176; https://doi.org/10.3390/app16073176 - 25 Mar 2026
Viewed by 252
Abstract
Risk-based management of water quality in drinking water supply systems requires decision-support tools that extend beyond parameter-level hazard assessment and enable prioritization at the level of physical system objects. In this context, hazard assessment refers specifically to drinking water quality parameters and their [...] Read more.
Risk-based management of water quality in drinking water supply systems requires decision-support tools that extend beyond parameter-level hazard assessment and enable prioritization at the level of physical system objects. In this context, hazard assessment refers specifically to drinking water quality parameters and their possible operational and health-related implications, particularly in facilities serving sensitive user groups. This study proposes a class-based extension of the FPOR (Fuzzy Priority of Objects at Risk) framework to support object-level operational prioritization under conditions of limited data availability. Hazard importance is adopted from prior hazard prioritization using the Fuzzy Priority Index (FPI), while priority premises (PP) are represented as object classes reflecting typical functional and operational characteristics. Class-based profiles of local hazard relevance and object vulnerability are defined using expert-informed fuzzy representations and aggregated into FPOR scores to produce a relative ranking of priority premises classes. The results demonstrate how hazard prioritization can be systematically propagated to object-level decision units without reliance on site-specific monitoring data. The proposed framework provides a transparent and scalable basis for early-stage risk-based planning and supports the operational implementation of object-oriented management strategies in drinking water systems, while maintaining a clear conceptual separation from health risk assessment addressed in subsequent studies. Full article
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19 pages, 12766 KB  
Article
Evaluating the Resilience Gap: What Can Modern Beijing Learn from the Historical Water System of Yuan Dadu (1267–1368 CE)?
by Zi Hui and Jiaping Liu
Water 2026, 18(6), 735; https://doi.org/10.3390/w18060735 - 20 Mar 2026
Viewed by 330
Abstract
Urban flood resilience is an important indicator for measuring a city’s capacity to respond to and recover from flood disasters. However, existing assessments often lack a long-term hydrological baseline. This study establishes the historical water system of Yuan Dadu (1267–1368 CE) as a [...] Read more.
Urban flood resilience is an important indicator for measuring a city’s capacity to respond to and recover from flood disasters. However, existing assessments often lack a long-term hydrological baseline. This study establishes the historical water system of Yuan Dadu (1267–1368 CE) as a control scenario to benchmark the flood resilience of modern Beijing. By integrating a historical geographic reconstruction with a hydrological–hydrodynamic simulation and the fuzzy analytic hierarchy process (FAHP), the research quantifies structural differences in resilience profiles between the nature-adapted historical system and the modern engineering-dominated system. The results indicate that Yuan Dadu’s urban flood resilience index (UFRI) is 3.44 and modern Beijing’s is 3.28. Despite modern Beijing’s significant advantage in drainage facility density (0.61 km/km2) and emergency management, the system exhibits a functional substitution failure, where gray infrastructure has failed to fully compensate for a 26% reduction in the unit area storage capacity (from 6.4 to 4.7 × 104 m3/km2) and a 48.4% decline in the water system structural complexity. The findings indicate that, in rapidly urbanized cities on alluvial plains with high impervious coverage, expanding drainage networks alone may be insufficient to offset losses in a natural hydraulic buffering capacity. Accordingly, planning strategies are proposed that integrate distributed micro-storage and restore topological connectivity to recreate system-level hydraulic buffering functions. Full article
(This article belongs to the Special Issue Urban Drainage Systems and Stormwater Management, 2nd Edition)
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25 pages, 6368 KB  
Article
Comfort-Oriented Pothole Traversal Using Multi-Sensor Perception and Fuzzy Control
by Chaochun Yuan, Shiqi Hang, Youguo He, Jie Shen, Long Chen, Yingfeng Cai, Shuofeng Weng and Junxian Wang
Sensors 2026, 26(6), 1925; https://doi.org/10.3390/s26061925 - 19 Mar 2026
Viewed by 208
Abstract
Potholes are typical negative road obstacles that can significantly compromise vehicle safety and ride comfort when traversed at inappropriate speeds. To address this issue, this paper proposes a pothole-detection-based, comfort-oriented pothole traversal algorithm that integrates multi-sensor fusion perception, comfort-constrained speed planning, and fuzzy [...] Read more.
Potholes are typical negative road obstacles that can significantly compromise vehicle safety and ride comfort when traversed at inappropriate speeds. To address this issue, this paper proposes a pothole-detection-based, comfort-oriented pothole traversal algorithm that integrates multi-sensor fusion perception, comfort-constrained speed planning, and fuzzy control. A camera and a single-point ranging LiDAR are first fused to extract key geometric features of potholes, including contour, area, and depth. Based on these features, a vehicle–pothole dynamic model is developed in ADAMS to quantify the influence of pothole area and depth on vehicle vertical vibration. The vertical frequency-weighted root-mean-square (RMS) acceleration is adopted as the ride comfort indicator, based on which the maximum allowable traversal speed under different pothole geometries is determined. Furthermore, a longitudinal pothole traversal control strategy based on fuzzy theory is designed to regulate vehicle acceleration, enabling the vehicle to reach the comfort-constrained limiting speed within a finite preview distance while ensuring braking safety. The proposed method is validated through multi-scenario co-simulations using MATLAB/Simulink and CarSim, as well as real-vehicle experiments. Results demonstrate that the proposed strategy can effectively adjust vehicle speed before pothole traversal, satisfying comfort constraints and improving ride comfort without sacrificing driving safety. Full article
(This article belongs to the Section Vehicular Sensing)
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34 pages, 1781 KB  
Article
Beyond Linear Models: A Hybrid SEM-fsQCA Approach to Understanding Consumer Intentions for Organic Rice
by Claudel Mombeuil, Jean Fausner Michel and Christela Pierre Louis
Businesses 2026, 6(1), 13; https://doi.org/10.3390/businesses6010013 - 5 Mar 2026
Viewed by 422
Abstract
Interest in organic food has grown steadily, driven by its health and environmental benefits and concerns about conventional production. Yet organic rice remains largely overlooked, while imported, low-cost inorganic rice dominates the market. This study addresses that gap by extending the Theory of [...] Read more.
Interest in organic food has grown steadily, driven by its health and environmental benefits and concerns about conventional production. Yet organic rice remains largely overlooked, while imported, low-cost inorganic rice dominates the market. This study addresses that gap by extending the Theory of Planned Behavior (TPB) to include environmental concern and knowledge, alongside health consciousness and status, as predictors of purchase intention, and the TPB constructs as mediators. Using survey data from 401 Haitian consumers, we applied structural equation modeling and fuzzy-set qualitative comparative analysis. Results show health consciousness as the strongest and most consistent driver, shaping attitudes, norms, and perceived control, while environmental concern also plays a significant role. Environmental knowledge proved context-dependent, and health status and perceived control were not significant. The mediation analysis revealed several significant indirect effects. Environmental concern influenced behavioral intention through both attitudes and subjective norms, while environmental knowledge showed a significant indirect effect via subjective norms. Health concern demonstrated the strongest mediation effects, with significant pathways through attitudes and subjective norms. In contrast, mediations through perceived behavioral control were consistently non-significant across all tested relationships. The fsQCA analysis identified environmental concern, environmental knowledge, health consciousness, attitudes, and subjective norms as necessary conditions for consumers’ intention to purchase organic rice to occur. This analysis also revealed 22 pathways to high purchase intention, with most pathways including two or three of the identified necessary conditions. These findings advance TPB and offer practical insights for promoting sustainable consumption. Full article
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32 pages, 5003 KB  
Article
A Novel Hybrid IK Architecture for Robotic Arms: Iterative Refinement of Soft-Computing Approximations with Validation on ABB IRB-1200 Robotic Arm
by Meenalochani Jayabalan, Karunamoorthy Loganathan and Palanikumar Kayaroganam
Machines 2026, 14(3), 292; https://doi.org/10.3390/machines14030292 - 4 Mar 2026
Viewed by 410
Abstract
Adaptive Neuro-Fuzzy Inference System (ANFIS)-based inverse kinematics (IK) is highly accurate for trained poses but often yields approximations for unseen inputs due to non-standardized training data. This research addresses these limitations through two novel contributions designed for any generic Degrees of Freedom (DoF) [...] Read more.
Adaptive Neuro-Fuzzy Inference System (ANFIS)-based inverse kinematics (IK) is highly accurate for trained poses but often yields approximations for unseen inputs due to non-standardized training data. This research addresses these limitations through two novel contributions designed for any generic Degrees of Freedom (DoF) serial revolute robotic arm. First, A structured training methodology is introduced using workspace decomposition and cubic path planning. Instead of random sampling, the workspace is partitioned into cubic regions where 28 unique trajectories (12 edges, 12 face diagonals, four space diagonals) connect the eight vertices using cubic polynomial interpolation. This ensures physically consistent data mirroring real world point to point (PTP) movements. Even though validated on an ABB IRB-1200 robotic arm, this modular design is inherently scalable, allowing the local cubic expertise to be extended to cover the entire reachable workspace. Second, a two-stage hybrid IK framework is proposed, where an initial ANFIS approximation is refined via Jacobian-based iterative methods. Three Hybrid Frame works were evaluated, Framework-1 (ANFIS + Jacobian Gradient), Framework-2 (ANFIS + Jacobian Pseudoinverse/Newton–Raphson), and Framework-3 (ANFIS + Damped Least Squares). The results show that all three hybrid IK frameworks achieve reliable convergence, while the DLS-based hybrid provides the best trade-off between accuracy, convergence speed, and numerical stability. This generic, analytical free architecture provides a computationally efficient solution even in a hybrid scenario, bridging the gap between offline structured training and online, real-time refinement for digital twin synchronization and industrial automation. Full article
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27 pages, 8457 KB  
Article
Design and Research of Bionic Knee Joint Robot Based on SWO Fuzzy PID Control
by Wei Li, Yukun Li, Zhengwei Yue, Zhuoda Jia, Bowen Yang and Tianlian Pang
Processes 2026, 14(5), 828; https://doi.org/10.3390/pr14050828 - 3 Mar 2026
Viewed by 333
Abstract
The rehabilitation training of patients with lower limb motor dysfunction highly relies on the precise control of biomimetic knee joint robots. Existing control strategies generally suffer from insufficient control accuracy and weak anti-interference ability, and an optimization plan that balances high precision and [...] Read more.
The rehabilitation training of patients with lower limb motor dysfunction highly relies on the precise control of biomimetic knee joint robots. Existing control strategies generally suffer from insufficient control accuracy and weak anti-interference ability, and an optimization plan that balances high precision and strong anti-interference has not yet been formed, which seriously affects the effectiveness of rehabilitation training. In order to improve the control accuracy and anti-interference ability of biomimetic knee joint robots for leg rehabilitation training of patients with lower limb movement disorders, the purpose of this study is to address the performance shortcomings of existing biomimetic knee joint robot control strategies. The goal is to propose a high-precision and strong anti-interference control strategy to provide more reliable rehabilitation support for patients with lower limb movement disorders. Therefore, this article proposes an optimization strategy based on the Spider Bee Algorithm (SWO) combined with fuzzy PID control. Based on a biomimetic knee joint robot model, this study simulates three common pathological states of knee joint ligament injury, meniscus injury, and muscle atrophy in patients, and compares the trajectory tracking and anti-interference performance of PID, fuzzy PID, and SWO fuzzy PID control strategies. The experimental results show that the SWO fuzzy PID control strategy has the best comprehensive performance: the overshoot of knee joint angle control is only 9.7%, and the peak angle error is reduced to 2.1948°; when simulating pathological conditions, the system takes the shortest time to recover stability: 1.068 s for ligament injuries and 0.929 s for meniscus injuries, with maximum response errors below 0.017°. Simulation experiments on healthy subjects showed that the system had a tracking error of ≤5° under two rehabilitation training modes, meeting clinical accuracy requirements, and had good performance in restoring stability under irregular vibration interference. The core contribution of this study is the proposal of the SWO fuzzy PID optimization control strategy, which effectively addresses the shortcomings of existing strategies and significantly improves the control accuracy and anti-interference ability of bionic knee joint robots, providing theoretical support and practical reference for the application of bionic knee joint robots. Full article
(This article belongs to the Special Issue Intelligent Process Control Techniques Used for Robotics)
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33 pages, 3660 KB  
Article
Managing Operational Uncertainty in Manufacturing with Industry 4.0 and 5.0 Technologies
by Matolwandile Mzuvukile Mtotywa and Matshediso Mohapeloa
Appl. Sci. 2026, 16(5), 2321; https://doi.org/10.3390/app16052321 - 27 Feb 2026
Viewed by 315
Abstract
The manufacturing sector drives industrialisation and contributes substantially to economic growth and employment creation. Despite this, it faces the challenges of diminishing size and lack of competitiveness, mainly due to operational uncertainty. The study developed an approach to managing operational uncertainty using Industry [...] Read more.
The manufacturing sector drives industrialisation and contributes substantially to economic growth and employment creation. Despite this, it faces the challenges of diminishing size and lack of competitiveness, mainly due to operational uncertainty. The study developed an approach to managing operational uncertainty using Industry 4.0 and 5.0 technologies. It employed a multimethod quantitative design based on the post-positivist paradigm, with data collected from 22 experts and 262 responses from a manufacturing firms’ survey. The study employed an integrated fuzzy decision-making trial and evaluation laboratory (DEMATEL) with partial least squares structural equation modelling (PLS-SEM) and fuzzy set qualitative comparative analysis (fsQCA). The fuzzy DEMATEL results reveal that growing geopolitical tension, cost-of-living-driven consumer behavioural change, pandemic turbulence, lack of energy stability and security, and the entrenched power of large firms are causal dimensions of operational uncertainty. Industry 4.0 and 5.0 technologies, with capabilities for scenario planning and supply chain integration, flexible production and mass customisation, real-time system and process monitoring and response, root cause analysis, and sustainable solutions, can manage operational uncertainty. These technologies include artificial intelligence (AI), the Internet of Things (IoT), big data analytics, and, to a lesser extent, advanced robotics, blockchain, and augmented and virtual reality (AR/VR). This study advanced configuration theory and a new integrated methodology (fuzzy-DEMATEL-PLS-SEM-fsQCA) to develop solutions for sustained performance during operational uncertainty in manufacturing. This research offers valuable information to advance the subject, make meaningful changes in day-to-day manufacturing operations, and promote practical real-world problem solving. Full article
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31 pages, 1660 KB  
Article
Explaining Chinese Consumer Recycling Behavior in Express Packaging: Insights from PLS-SEM, fsQCA, and Necessary Condition Analysis
by Jun Lyu, Bowen Zhan and Bakti Hasan-Basri
Sustainability 2026, 18(4), 2152; https://doi.org/10.3390/su18042152 - 23 Feb 2026
Viewed by 480
Abstract
The rapid growth of e-commerce, particularly in China, has led to a surge in express packaging waste, posing significant environmental challenges. However, consumer participation in express packaging recycling remains a critical yet underexplored issue. To address this gap, this study extends the Theory [...] Read more.
The rapid growth of e-commerce, particularly in China, has led to a surge in express packaging waste, posing significant environmental challenges. However, consumer participation in express packaging recycling remains a critical yet underexplored issue. To address this gap, this study extends the Theory of Planned Behavior (TPB) by incorporating perceived benefit, perceived trust, and policy communication to explain consumer behavior. Survey data from 382 urban consumers in China were analyzed using an integrated approach combining partial least squares structural equation modeling (PLS-SEM), fuzzy-set qualitative comparative analysis (fsQCA), and necessary condition analysis (NCA). The results indicate that attitude, perceived benefit, and perceived trust significantly influence recycling behavior, while subjective norm, perceived behavioral control, and policy communication exhibit no significant net effects. Furthermore, configurational analysis demonstrates that high recycling behavior emerges from multiple combinations of factors rather than any single dominant driver, and NCA identifies attitude as a necessary prerequisite. In conclusion, these findings underscore that express packaging recycling is driven by complex interactions among benefits, trust, and attitudes, suggesting that policymakers should prioritize multi-factor policy designs to effectively promote sustainable consumer behavior. Full article
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