Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations by S. M. Sadatrasoul, R. Ezzati

“…We introduce some generalized quadrature rules to approximate two-dimensional, Henstock integral of fuzzy-number-valued functions. We also give error bounds for mappings of bounded variation in terms of uniform modulus of continuity. …”
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A lithofacies modeling method based on a new integrated algorithm and its application by LEI Cheng,CUI Bingkai,ZHAI Guanghua,YE Yu,XU Qingyan,ZHANG Jinlin

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Spatiotemporal Variation Characteristics and Influencing Factors of Water Quality in the Anhui Section of Yangtze River by FENG Jia-cheng, CAO Xue-kang, TAO Li, HUA Fei, WU Kang

“…[Methods] Based on daily water quality data from 29 national assessment sections in the Anhui section of the Yangtze River from 2021 to 2023, this study adopted the comprehensive water quality index method to evaluate water quality, and integrated principal component analysis, correlation analysis, and other methods to explore the spatiotemporal variation and influencing factors of water quality. …”
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A Transiting Giant on a 7.7 yr Orbit Revealed by Transit Timing Variations in the TOI-201 System by Gracjan Maciejewski, Weronika Łoboda

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Underpinning Terroir with Data: Integrating Vineyard Performance Metrics with Soil and Climate Data to Better Understand Within-Region Variation in Marlborough, New Zealand by R. G. V. Bramley, J. Ouzman, A. P. Sturman, G. J. Grealish, C. E. M. Ratcliff, M. C. T. Trought

“…Methods and Results. Digital map layers describing variation in climate, soil properties, and the yield and harvest date of Sauvignon Blanc (Vitis vinifera L.) were assembled and analysed for similarity in their patterns of spatial variation over six vintages (2014–2019) using k-means clustering. …”
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System Optimization Scheduling Considering the Full Process of Electrolytic Aluminum Production and the Integration of Thermal Power and Energy Storage by Yulong Yang, Han Yan, Jiaqi Wang, Weiyang Liu, Zhongwen Yan

“…To address the curtailment phenomenon caused by the high penetration of renewable energy in the system, an optimization scheduling strategy is proposed, considering the full process of electrolytic aluminum production and the integration of thermal power and energy storage. Firstly, to explore the differentiated response capabilities of various devices such as high-energy-consuming electrolytic aluminum units, thermal power units, and energy storage devices to effectively address uncertain variables in the power system, a Variational Mode Decomposition method is introduced to construct differentiated response methods for its low-frequency, medium-frequency, and high-frequency components. …”
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Decadal Trends and Drivers of Dust Emissions in East Asia: Integrating Statistical and SHAP-Based Interpretability Approaches by Ziwei Yi, Yaqiang Wang, Zhaoliang Zeng, Weijie Li, Huizheng Che, Xiaoye Zhang

“…However, their spatiotemporal characteristics and driving mechanisms in East Asia remain poorly understood. This study integrates multi-source reanalysis and remote sensing data (1980–2023) to analyze dust emissions across East Asian source regions using statistical methods and SHapley Additive exPlanations (SHAP) interpretability. …”
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Integrated Investigation of the Time Dynamics of Forest Fire Sequences in Basilicata Region (Southern Italy) by Luciano Telesca, Rosa Lasaponara

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A Double-Inertial Two-Subgradient Extragradient Algorithm for Solving Variational Inequalities with Minimum-Norm Solutions by Ioannis K. Argyros, Fouzia Amir, Habib ur Rehman, Christopher Argyros

“…In this paper, we propose a novel iterative algorithm for solving VIPs in real Hilbert spaces. The method integrates a double-inertial mechanism with the two-subgradient extragradient scheme, leading to improved convergence speed and computational efficiency. …”
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Enhancing Fault Detection in AUV-Integrated Navigation Systems: Analytical Models and Deep Learning Methods by Huibao Yang, Bangshuai Li, Xiujing Gao, Bo Xiao, Hongwu Huang

“…Initially, the causes and classifications of faults within the integrated navigation system were analyzed in detail, and these faults were categorized as either abrupt or gradual, based on variations in sensor output characteristics under fault conditions. …”
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A method integrating a non-stationary random field for constrained inversion of CSAMT data by Qianwei DAI, Luyao GUO, Yun WU, Zhexian XIONG, Dan DUAN, Zhonglin BAO, Hongfei WU, Fengyun HAO

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New Analytical Method to Evaluate Casing Integrity during Hydraulic Fracturing of Shale Gas Wells by Jun Li, Xueli Guo, Gonghui Liu, Shuoqiong Liu, Yan Xi

“…Thicker casing, higher fluid temperature, and cement sheath with small modulus, large Poisson’s ratio, and thinner wall were effective to decrease the casing stress. This new method was able to accurately predict casing stress, which can become an alternative approach of casing integrity evaluation for shale gas wells.…”
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Analysis of Beams with a Three-dimensional Random Field of the Modulus of Elasticity Using the Stochastic Finite Element Method by Nguyen Dang Diem, Pham Van Dat, Ta Duy Hien

“…The method employs weighted integration to discretize spatial variations in Young’s modulus and utilizes a perturbation approach for efficient statistical response computation. …”
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Improved Voltage Support Method for Unbalanced Grid Condition by CAO Xiaoqing, LI Te, LI Lin, CHEN Di, ZHOU Zhengxu, SHI Xiaojie

“…[Objective] With the integration of large-scale distributed photovoltaics，issues such as reverse power flow and overvoltage arise，posing challenges to the safe and stable operation of power systems. …”
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Modeling the Resilient Modulus Variation of In Situ Soils due to Seasonal Moisture Content Variations by Kevin Gaspard, Zhongjie Zhang, Gavin Gautreau, Khalil Hanifa, Claudia E. Zapata, Murad Abufarsakh

“…The AASHTO T-99 MR test method was used on all samples with an additional eight specimens being tested with NCHRP 1–28A MR test method. …”
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Crude Oil Futures Price Forecasting Based on Variational and Empirical Mode Decompositions and Transformer Model by Linya Huang, Xite Yang, Yongzeng Lai, Ankang Zou, Jilin Zhang

“…This model integrates a second decomposition and Transformer model-based machine learning method. …”
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Integrated Genome-Wide Analysis of Gene Expression and DNA Copy Number Variations Highlights Stem Cell-Related Pathways in Small Cell Esophageal Carcinoma by Di Liu, Xinyan Xu, Junmiao Wen, Liyi Xie, Junhua Zhang, Yuxin Shen, Guoliang Jiang, Jiayan Chen, Min Fan

“…Materials/Methods. De novo expression array was carried out on three matched sets of primary SCEC and adjacent normal tissue samples procured from the institutional tissue bank, utilizing the Affymetrix HG U133 Plus 2.0 Array. …”
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Method based on contrastive incremental learning for fine-grained malicious traffic classification by Yifeng WANG, Yuanbo GUO, Qingli CHEN, Chen FANG, Renhao LIN, Yongliang ZHOU, Jiali MA

“…In order to protect against continuously emerging unknown threats, a new method based on contrastive incremental learning for fine-grained malicious traffic classification was proposed.The proposed method was based on variational auto-encoder (VAE) and extreme value theory (EVT), and the high accuracy could be achieved in known, few-shot and unknown malicious classes and new classes were also identified without using a large number of old task samples, which met the demand of storage and time cost in incremental learning scenarios.Specifically, the contrastive learning was integrated into the encoder of VAE, and the A-Softmax was used for known and few-shot malicious traffic classification, EVT and the decoder of VAE were used for unknown malicious traffic recognition, all classes could be recognized without a lot of old samples when learning new tasks by using VAE reconstruction and knowledge distillation methods.Experimental results indicate that the proposed method is efficient in known, few-shot and unknown malicious classes, and has greatly reduced the forgetting speed of old knowledge in incremental learning scenarios.…”
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SiRCle (Signature Regulatory Clustering) model integration reveals mechanisms of phenotype regulation in renal cancer by Ariane Mora, Christina Schmidt, Brad Balderson, Christian Frezza, Mikael Bodén

“…Methods Here, we present SiRCle (Signature Regulatory Clustering), a method to integrate DNA methylation, RNA-seq and proteomics data at the gene level by following central dogma of biology, i.e. genetic information proceeds from DNA, to RNA, to protein. …”
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About One Variational Problem, Leading to а Biharmonic Equation, and about the Approximate Solution of the Main Boundary Value Problem for this Equation by I. N. Meleshko, P. G. Lasy

“…The disadvantage of this method is that the above system is not always easy to solve. …”
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