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Search Results (451)

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Keywords = generalized type-2 fuzzy

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17 pages, 3522 KiB  
Article
A Formal Fuzzy Concept-Based Approach for Association Rule Discovery with Optimized Time and Storage
by Gamal F. Elhady, Haitham Elwahsh, Maazen Alsabaan, Mohamed I. Ibrahem and Ebtesam Shemis
Mathematics 2024, 12(22), 3590; https://doi.org/10.3390/math12223590 - 16 Nov 2024
Viewed by 360
Abstract
Association Rule Mining (ARM) relies on concept lattices as an effective knowledge representation structure. However, classical ARM methods face significant limitations, including the generation of misleading rules during data-to-formal-context mapping and poor handling of heterogeneous data types such as linguistic, continuous, and imprecise [...] Read more.
Association Rule Mining (ARM) relies on concept lattices as an effective knowledge representation structure. However, classical ARM methods face significant limitations, including the generation of misleading rules during data-to-formal-context mapping and poor handling of heterogeneous data types such as linguistic, continuous, and imprecise data. This study aims to address these limitations by introducing a novel fuzzy data structure called the “fuzzy iceberg lattice” and its corresponding construction algorithm. The primary objectives of this study are to enhance the efficiency of extracting and visualizing frequent fuzzy closed item sets and to optimize both execution time and storage requirements. The necessity of this research stems from the high computational cost and redundancy associated with traditional fuzzy approaches, which, while capable of managing quantitative and imprecise data, are often impractical for large-scale applications in real scenarios. The proposed approach incorporates a ‘fuzzy min-max basis algorithm’ to derive exact and approximate rule bases from the extracted fuzzy closed item sets, eliminating redundancy while preserving valuable insights. Experimental results on benchmark datasets demonstrate that the proposed fuzzy iceberg lattice outperforms traditional fuzzy concept lattices, achieving an average reduction of 74.75% in execution time and 70.53% in memory usage. This efficiency gain, coupled with the lattice’s ability to handle crisp, quantitative, fuzzy, and heterogeneous data types, underscores its potential to advance ARM by yielding a manageable number of high-quality fuzzy concepts and rules. Full article
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<p>Different viewpoints of FFCA.</p>
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<p>Definitions of age and experience linguistic variables. The colored lines depict different states within each linguistic variable: age (Young, Middle-Aged, Old) and experience (Junior, Middle-Level, Senior).</p>
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<p>Fuzzy lattice derived from the fuzzy context in <a href="#mathematics-12-03590-t005" class="html-table">Table 5</a>.</p>
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<p>The entire architecture of the proposed approach for extracting association and implication bases from quantitative data.</p>
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<p>Fuzzy-based iceberg lattice generated from fuzzy context in <a href="#mathematics-12-03590-t005" class="html-table">Table 5</a> with 25% minimum support.</p>
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<p>Number of fuzzy concepts generated by the proposed approach versus fuzzy concepts generated by [<a href="#B12-mathematics-12-03590" class="html-bibr">12</a>,<a href="#B22-mathematics-12-03590" class="html-bibr">22</a>] approaches over the Mushroom dataset.</p>
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<p>Processing time comparison between the proposed approach versus the Zou et al. (2018) [<a href="#B11-mathematics-12-03590" class="html-bibr">11</a>] over the fuzzy synthetic datasets.</p>
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<p>Memory consumption of constructing the entire fuzzy concept lattice vs. constructing the proposed fuzzy iceberg lattice.</p>
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<p>Time required to construct the entire fuzzy concept lattice vs. constructing the proposed fuzzy iceberg lattice.</p>
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<p>Comparison of concept counts in full fuzzy and iceberg lattices across various datasets.</p>
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20 pages, 8953 KiB  
Article
Implementation of Fuzzy Logic Scheme for Assessment of Power Transformer Oil Deterioration Using Imprecise Information
by Zuhaib Nishtar and Fangzong Wang
Energies 2024, 17(21), 5412; https://doi.org/10.3390/en17215412 - 30 Oct 2024
Viewed by 464
Abstract
This research aims to analyze the implementation of a fuzzy logic-based approach in improving the diagnosis of power transformer oil deterioration, which is critical for maintaining the efficient performance and operational life of transformers. Traditional diagnoses are based on strict measurements that do [...] Read more.
This research aims to analyze the implementation of a fuzzy logic-based approach in improving the diagnosis of power transformer oil deterioration, which is critical for maintaining the efficient performance and operational life of transformers. Traditional diagnoses are based on strict measurements that do not account for the factors of variability and uncertainty of the actual data. In this article, we perform six different types of tests in this regard, and data have been collected during the period of 2021 to 2022 of 188 power transformer failures in the New KotLakhpat Lahore unit, whose voltage range is 132/66 kv and rating capacity is 40/50 MVA. In this case, a fuzzy logic-based scheme is developed based upon the membership function, a rule-based and defuzzification method that works with imprecision and the implementation of uncertainty in assessing the condition of transformer oils. Moisture, acidity, and a dissolved gas analysis indicator, along with other indication approaches such as interfacial tension, viscosity, and tangent delta measurement, are used to analyze the deterioration process in transformer oils. In the visual representation, oil samples with the following properties were first fuzzified: 19.9 mm2/s of viscosity, 0.453 mgKOH/g of acidity, 695 ppm of DGA, 20.8 mg/kg of moisture, 19.98 of IFT, and 4.35 × 100.14 of tangent delta. The output that was generated by software using the values entered into the parameters (HI and Age) after defuzzification is 45. Fuzzy logic serves as a concrete framework for transforming the diagnostics system and deterring the threats to the entire transformer’s health and reliability in the future. By using this technique, various faults were hypothetically and practically analyzed in a transformer to implement early detection technologies with the possibility to reduce maintenance costs and extend operational life up to 45 years. Various case studies indicate the effectiveness of fuzzy logic in comparison to traditional diagnostics. Full article
(This article belongs to the Section F: Electrical Engineering)
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<p>Correlation between the variables.</p>
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<p>Block diagram for the fuzzy logic scheme.</p>
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<p>Flow of proposed methodology.</p>
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<p>Fuzzy logic structure.</p>
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<p>Input variable and membership function of viscosity.</p>
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<p>Input variable and membership function of tangent delta.</p>
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<p>Input variable and membership function of DGA.</p>
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<p>Input variable and membership function of acidity.</p>
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<p>Input variable and membership function of IFT.</p>
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<p>Input variable and membership function of moisture.</p>
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<p>Output variable and membership function.</p>
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<p>Graphical representation of the 30 fuzzy rules developed to determine the oil condition and age.</p>
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<p>Transformer health over time.</p>
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<p>Comparison of manual and fuzzy logic diagnosis.</p>
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<p>Remaining life prediction of transformers.</p>
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<p>Comparison of accuracies across different models.</p>
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25 pages, 4959 KiB  
Article
Multi-Criteria Decision-Making Approach for Optimal Energy Storage System Selection and Applications in Oman
by Zayid M. Al-Abri, Khaled M. Alawasa, Rashid S. Al-Abri, Amer S. Al-Hinai and Ahmed S. A. Awad
Energies 2024, 17(20), 5197; https://doi.org/10.3390/en17205197 - 18 Oct 2024
Viewed by 681
Abstract
This research aims to support the goals of Oman Vision 2040 by reducing the dependency on non-renewable energy resources and increasing the utilization of the national natural renewable energy resources. Selecting appropriate energy storage systems (ESSs) will play a key role in achieving [...] Read more.
This research aims to support the goals of Oman Vision 2040 by reducing the dependency on non-renewable energy resources and increasing the utilization of the national natural renewable energy resources. Selecting appropriate energy storage systems (ESSs) will play a key role in achieving this vision by enabling a greater integration of solar and other renewable energy. ESSs allow for solar power generated during daylight hours to be stored for use during peak demand periods. Additionally, the proposed framework provides guidance for large-scale ESS infrastructure planning and investments to support Oman’s renewable energy goals. As the global renewable energy market grows rapidly and Oman implements economic reforms, the ESS market is expected to flourish in Oman. In the near future, ESS is expected to contribute to lower electricity costs and enhance stability compared to traditional energy systems. While ESS technologies have been studied broadly, there is a lack of comprehensive analysis for optimal ESS selection tailored to Oman’s unique geographical, technical, and policy context. The main objective of this study is to provide a comprehensive evaluation of ESS options and identify the type(s) most suitable for integration with Oman’s national grid using a multi-criteria decision-making (MCDM) methodology. This study addresses this gap by applying the Hesitate Fuzzy Analytic Hierarchy Process (HF-AHP) and Hesitate Fuzzy VIKOR methods to assess alternative ESS technologies based on technical, economic, environmental, and social criteria specifically for Oman’s context. The analysis reveals pumped hydro energy storage (PHES) and compressed air energy storage (CAES) as the most appropriate solutions. The tailored selection framework aims to guide policy and infrastructure planning to determine investments for large-scale ESSs and provide a model for comprehensive ESS assessment in energy transition planning for countries with similar challenges. Full article
(This article belongs to the Section D: Energy Storage and Application)
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<p>Classifications of numerous energy storage systems.</p>
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<p>Types of energy storage systems.</p>
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<p>Expected peak demand for the different case scenarios.</p>
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<p>Contracted capacity using fossil fuel power plants.</p>
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<p>Renewable resources contribution from the total capacity.</p>
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<p>Low case demand and the contracted capacity.</p>
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<p>High-case-demand scenario and contracted capacity.</p>
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<p>Ibri PV solar power plant generation over a few days in June 2022.</p>
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<p>Demand in June for different years vs the contracted capacity.</p>
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<p>Electrical demand and supply management.</p>
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<p>Energy storage controlling the demand and supply mismatch.</p>
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<p>Load profile where the ESS is used to reduce the peak demand.</p>
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<p>Main and sub-criteria; alternatives used for ESS selection.</p>
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<p>The proposed methodology flowchart.</p>
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<p>Main criteria weights.</p>
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<p>Graphical representation of Si, Ri, and Qi values for alternatives.</p>
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19 pages, 2485 KiB  
Article
Enhancing Real Estate Valuation in Kazakhstan: Integrating Machine Learning and Adaptive Neuro-Fuzzy Inference System for Improved Precision
by Alibek Barlybayev, Nurzhigit Ongalov, Altynbek Sharipbay and Bakhyt Matkarimov
Appl. Sci. 2024, 14(20), 9185; https://doi.org/10.3390/app14209185 - 10 Oct 2024
Viewed by 728
Abstract
The concept of fair value, defined by the valuation of assets and liabilities at their current market worth, remains central to the International Financial Reporting Standards (IFRS) and has persisted despite critiques intensified by the 2008 financial crisis. This valuation method continues to [...] Read more.
The concept of fair value, defined by the valuation of assets and liabilities at their current market worth, remains central to the International Financial Reporting Standards (IFRS) and has persisted despite critiques intensified by the 2008 financial crisis. This valuation method continues to be prevalent under both IFRS and the US Generally Accepted Accounting Principles (GAAP). The adoption of IFRS has notably enhanced the role of accounting in information analysis, vital for owners who prioritize both secure accounting practices and reliable data for strategic management decisions. Real estate, a significant business asset, has long been a focal point in accounting discussions, prompting extensive research into the applicability and effectiveness of various accounting standards. These investigations assess the adaptability of standards based on property type, utility, and valuation techniques. However, the challenge of accurately determining the fair value of real estate remains unresolved, signifying its importance not only in the corporate manufacturing realm but also among development companies striving to manage property values efficiently. This study addresses the challenge of accurately determining the fair market value of real estate in Kazakhstan, leveraging a multi-methodological approach that encompasses statistical models, regression analysis, data visualization, neural networks, and particularly, an Adaptive Neuro-Fuzzy Inference System (ANFIS). The integration of these diverse methodologies not only enhances the robustness of real estate valuation but also introduces new insights into effective asset management. The findings suggest that ANFIS provides superior precision in real estate pricing, demonstrating its potential as a valuable tool for strategic management and investment decision-making. Full article
(This article belongs to the Section Computing and Artificial Intelligence)
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<p>Correlation of numerical indicators of real estate criteria. The heatmap shows correlations between variables, with <b>green</b> for strong positive correlations, <b>red</b> for strong negative correlations, and <b>yellow/orange</b> for weak or no correlation. The diagonal represents a perfect correlation of 1.</p>
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<p>Plotmatrix charts.</p>
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<p>Neural network performance graphs.</p>
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<p>Regression plot of a neural network model with output parameters’ price.</p>
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<p>Box plots of price, square, flooring, year, and security in relation to the location.</p>
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<p>Fuzzy expert system. The yellow and red areas represent membership function activations, and the blue indicates the corresponding output region.</p>
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<p>Comparison of ML models. The bar chart shows the performance of various machine learning models, with the minimum value representing the best efficiency. The orange line represents the cumulative percentage contribution of these models to overall performance.</p>
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23 pages, 374 KiB  
Article
General Trapezoidal-Type Inequalities in Fuzzy Settings
by Muhammad Amer Latif
Mathematics 2024, 12(19), 3112; https://doi.org/10.3390/math12193112 - 4 Oct 2024
Viewed by 435
Abstract
In this study, trapezoidal-type inequalities in fuzzy settings have been investigated. The theory of fuzzy analysis has been discussed in detail. The integration by parts formula of analysis of fuzzy mathematics has been employed to establish an equality. Trapezoidal-type inequality for functions with [...] Read more.
In this study, trapezoidal-type inequalities in fuzzy settings have been investigated. The theory of fuzzy analysis has been discussed in detail. The integration by parts formula of analysis of fuzzy mathematics has been employed to establish an equality. Trapezoidal-type inequality for functions with values in the fuzzy number-valued space is proven by applying the proven equality together with the properties of a metric defined on the set of fuzzy number-valued space and Höler’s inequality. The results proved in this research provide generalizations of the results from earlier existing results in the field of mathematical inequalities. An example is designed by defining a function that has values in fuzzy number-valued space and validated the results numerically using the software Mathematica (latest v. 14.1). The p-levels of the defined fuzzy number-valued mapping have been shown graphically for different values of p0,1. Full article
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<p>Graphs of <span class="html-italic">p</span>-levels of <math display="inline"><semantics> <mrow> <msubsup> <mi>v</mi> <mo>−</mo> <mi>p</mi> </msubsup> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> are shown in green and those of <math display="inline"><semantics> <mrow> <msubsup> <mi>v</mi> <mo>+</mo> <mi>p</mi> </msubsup> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </semantics></math> are shown in blue.</p>
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17 pages, 2201 KiB  
Article
Dementia Classification Approach Based on Non-Singleton General Type-2 Fuzzy Reasoning
by Claudia I. Gonzalez
Axioms 2024, 13(10), 672; https://doi.org/10.3390/axioms13100672 - 28 Sep 2024
Viewed by 694
Abstract
Dementia is the most critical neurodegenerative disease that gradually destroys memory and other cognitive functions. Therefore, early detection is essential, and to build an effective detection model, it is required to understand its type, symptoms, stages and causes, and diagnosis methodologies. This paper [...] Read more.
Dementia is the most critical neurodegenerative disease that gradually destroys memory and other cognitive functions. Therefore, early detection is essential, and to build an effective detection model, it is required to understand its type, symptoms, stages and causes, and diagnosis methodologies. This paper presents a novel approach to classify dementia based on a data set with some relevant patient features. The classification methodology employs non-singleton general type-2 fuzzy sets, non-singleton interval type-2 fuzzy sets, and non-singleton type 1 fuzzy sets. These advanced fuzzy sets are compared with traditional singleton fuzzy sets to evaluate their performance. The Takagi–Sugeno–Kang TSK inference method is used to handle fuzzy reasoning. In the process, the parameters of the membership functions (MFs) and rules are obtained using ANFIS, and non-singleton MFs are optimized with PSO. The results demonstrate that non-singleton general type-2 fuzzy sets improve classification accuracy compared to singleton fuzzy sets, demonstrating their ability to model the uncertainties inherent in the diagnosis of dementia. This improvement suggests that non-singleton fuzzy systems offer a more robust framework for developing effective diagnostic tools in the medical domain. Accurate classification of dementia is of utmost importance to improve patient care and advance medical research. Full article
(This article belongs to the Special Issue Advances in Mathematical Optimization Algorithms and Its Applications)
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<p>Interval type-2 membership function.</p>
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<p>Sample of a “gaussmgausstype2” GT2 MF.</p>
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<p>Structure of the particle PSO.</p>
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<p>Representation of the T1 MF and the non-singleton for the input age. X1 represents the non-singleton input.</p>
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<p>Representation of the IT2 MF and the non-singleton for the input age. The gray ones are the IT2 MFs for the linguistic variables lowAge, middleAge and highAge. Green represents the non-singleton input.</p>
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<p>Representation of the GT2 MF and the non-singleton for the input age. X1 represents the non-singleton input.</p>
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<p>Representation of the best classification accuracy.</p>
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17 pages, 5706 KiB  
Article
Dynamic Routing Using Fuzzy Logic for URLLC in 5G Networks Based on Software-Defined Networking
by Yan-Jing Wu, Menq-Chyun Chen, Wen-Shyang Hwang and Ming-Hua Cheng
Electronics 2024, 13(18), 3694; https://doi.org/10.3390/electronics13183694 - 18 Sep 2024
Viewed by 817
Abstract
Software-defined networking (SDN) is an emerging networking technology with a central point, called the controller, on the control plane. This controller communicates with the application and data planes. In fifth-generation (5G) mobile wireless networks and beyond, specific levels of service quality are defined [...] Read more.
Software-defined networking (SDN) is an emerging networking technology with a central point, called the controller, on the control plane. This controller communicates with the application and data planes. In fifth-generation (5G) mobile wireless networks and beyond, specific levels of service quality are defined for different traffic types. Ultra-reliable low-latency communication (URLLC) is one of the key services in 5G. This paper presents a fuzzy logic (FL)-based dynamic routing (FLDR) mechanism with congestion avoidance for URLLC on SDN-based 5G networks. By periodically monitoring the network status and making forwarding decisions on the basis of fuzzy inference rules, the FLDR mechanism not only can reroute in real time, but also can cope with network status uncertainty owing to FL’s fault tolerance capabilities. Three input parameters, normalized throughput, packet delay, and link utilization, were employed as crisp inputs to the FL control system because they had a more accurate correlation with the network performance measures we studied. The crisp output of the FL control system, i.e., path weight, and a predefined threshold of packet loss ratio on a path were applied to make routing decisions. We evaluated the performance of the proposed FLDR mechanism on the Mininet simulator by installing three additional modules, topology discovery, monitoring, and rerouting with FL, on the traditional control plane of SDN. The superiority of the proposed FLDR over the other existing FL-based routing schemes was demonstrated using three performance measures, system throughput, packet loss rate, and packet delay versus traffic load in the system. Full article
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<p>SDN architecture.</p>
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<p>Mamdani’s fuzzy logic control system.</p>
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<p>FLDR framework.</p>
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<p>The MF of normalized throughput.</p>
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<p>The MF of link utilization.</p>
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<p>The MF of packet delay.</p>
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<p>The MF of linguistic path weight.</p>
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<p>Simulation topology.</p>
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<p>System throughput for 15 Mbps flow rate.</p>
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<p>Packet delay for 15 Mbps flow rate.</p>
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<p>Packet loss rate for 15 Mbps flow rate.</p>
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<p>System throughput for 30 Mbps flow rate.</p>
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<p>Packet delay for 30 Mbps flow rate.</p>
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<p>Packet loss rate for 30 Mbps flow rate.</p>
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<p>System throughput for 45 Mbps flow rate.</p>
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<p>Packet delay for 45 Mbps flow rate.</p>
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<p>Packet loss rate for 45 Mbps flow rate.</p>
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24 pages, 10077 KiB  
Article
Emotion Recognition Using EEG Signals through the Design of a Dry Electrode Based on the Combination of Type 2 Fuzzy Sets and Deep Convolutional Graph Networks
by Shokoufeh Mounesi Rad and Sebelan Danishvar
Biomimetics 2024, 9(9), 562; https://doi.org/10.3390/biomimetics9090562 - 18 Sep 2024
Viewed by 1111
Abstract
Emotion is an intricate cognitive state that, when identified, can serve as a crucial component of the brain–computer interface. This study examines the identification of two categories of positive and negative emotions through the development and implementation of a dry electrode electroencephalogram (EEG). [...] Read more.
Emotion is an intricate cognitive state that, when identified, can serve as a crucial component of the brain–computer interface. This study examines the identification of two categories of positive and negative emotions through the development and implementation of a dry electrode electroencephalogram (EEG). To achieve this objective, a dry EEG electrode is created using the silver-copper sintering technique, which is assessed through Scanning Electron Microscope (SEM) and Energy Dispersive X-ray Analysis (EDXA) evaluations. Subsequently, a database is generated utilizing the designated electrode, which is based on the musical stimulus. The collected data are fed into an improved deep network for automatic feature selection/extraction and classification. The deep network architecture is structured by combining type 2 fuzzy sets (FT2) and deep convolutional graph networks. The fabricated electrode demonstrated superior performance, efficiency, and affordability compared to other electrodes (both wet and dry) in this study. Furthermore, the dry EEG electrode was examined in noisy environments and demonstrated robust resistance across a diverse range of Signal-To-Noise ratios (SNRs). Furthermore, the proposed model achieved a classification accuracy of 99% for distinguishing between positive and negative emotions, an improvement of approximately 2% over previous studies. The manufactured dry EEG electrode is very economical and cost-effective in terms of manufacturing costs when compared to recent studies. The proposed deep network, combined with the fabricated dry EEG electrode, can be used in real-time applications for long-term recordings that do not require gel. Full article
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<p>The proposed electrode design and customized deep architecture provide a general framework for classifying two types of emotions: positive and negative.</p>
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<p>Copper bars of various diameters.</p>
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<p>Electrode copper bases are machined and ready for sintering.</p>
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<p>Powdered samples inside the sintering furnace.</p>
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<p>Samples taken from the furnace with a copper base and silver top.</p>
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<p>The amplifier used in the experiment for the proposed dry electrode.</p>
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<p>Recording of EEG signals from one of the participants based on the dry electrode (Three electrodes FP1, PZ, and FZ have been used for recording according to the image).</p>
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<p>Musical stimulation scenario to evoke positive and negative emotions.</p>
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<p>Proposed deep network representation in combination with TF2 for automatic recognition of emotions.</p>
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<p>Details of each layer in the proposed pipeline.</p>
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<p>Electrode sample at the imaging point of the SEM.</p>
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<p>Illustrates the silver powder utilized in the annealing procedure, in conjunction with an EDXA instrument. (<b>a</b>) powder particles, (<b>b</b>) EDX results.</p>
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<p><a href="#biomimetics-09-00562-f013" class="html-fig">Figure 13</a> shows an EDXA image of the silver block that came into being on the copper base after the silver powder was sintered. (<b>a</b>) sintering of the silver powder, (<b>b</b>) EDX analysis.</p>
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<p>Optimization of the number and computational efficiency of the proposed DFCGN network.</p>
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<p>Considered polynomial values for the proposed DFCGN network.</p>
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<p>Comparison of error performance and accuracy of dry electrodes made with dry and wet electrodes from different brands. (The suggested dry electrode, dry electrode, and wet electrode are shown with blue, red, and yellow legends, respectively).</p>
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<p>ROC diagram for the various evaluated electrodes (from left: recommended dry electrode, wet electrode, and dry electrode).</p>
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<p>TSNE diagram for the first and last layers of the proposed DFCGN model to recognize two different classes of positive and negative emotion according to the recorded suggested dry electrode.</p>
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<p>The proposed network’s performance in comparison to other networks.</p>
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<p>The effect of environmental noise on the proposed dry electrode and dry electrode.</p>
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25 pages, 10450 KiB  
Article
Framework for Regional to Global Extension of Optical Water Types for Remote Sensing of Optically Complex Transitional Water Bodies
by Elizabeth C. Atwood, Thomas Jackson, Angus Laurenson, Bror F. Jönsson, Evangelos Spyrakos, Dalin Jiang, Giulia Sent, Nick Selmes, Stefan Simis, Olaf Danne, Andrew Tyler and Steve Groom
Remote Sens. 2024, 16(17), 3267; https://doi.org/10.3390/rs16173267 - 3 Sep 2024
Viewed by 862
Abstract
Water quality indicator algorithms often separate marine and freshwater systems, introducing artificial boundaries and artifacts in the freshwater to ocean continuum. Building upon the Ocean Colour- (OC) and Lakes Climate Change Initiative (CCI) projects, we propose an improved tool to assess the interactions [...] Read more.
Water quality indicator algorithms often separate marine and freshwater systems, introducing artificial boundaries and artifacts in the freshwater to ocean continuum. Building upon the Ocean Colour- (OC) and Lakes Climate Change Initiative (CCI) projects, we propose an improved tool to assess the interactions across river–sea transition zones. Fuzzy clustering methods are used to generate optical water types (OWT) representing spectrally distinct water reflectance classes, occurring within a given region and period (here 2016–2021), which are then utilized to assign membership values to every OWT class for each pixel and seamlessly blend optimal in-water algorithms across the region. This allows a more flexible representation of water provinces across transition zones than classic hard clustering techniques. Improvements deal with expanded sensor spectral band-sets, such as Sentinel-3 OLCI, and increased spatial resolution with Sentinel-2 MSI high-resolution data. Regional clustering was found to be necessary to capture site-specific characteristics, and a method was developed to compare and merge regional cluster sets into a pan-regional representative OWT set. Fuzzy clustering OWT timeseries data allow unique insights into optical regime changes within a lagoon, estuary, or delta system, and can be used as a basis to improve WQ algorithm performance. Full article
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<p>A flow chart summarizing the methodological approach to develop a framework for the regional to global extension of optical water type (OWT) classes.</p>
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<p>Locations of the six sites across Europe (<b>a</b>), together with true color images of each site showing study area bounds (red box) for the (<b>b</b>) Tagus and Sado Estuaries, (<b>c</b>) Elbe Estuary and German Bight, (<b>d</b>) Curonian Lagoon, (<b>e</b>) Tamar Estuary and Plymouth Sound, (<b>f</b>) Venice Lagoon and northwestern Adriatic Sea, and (<b>g</b>) the Danube Delta and Razelm–Sinoe Lagoon System. The largest population center closest to the transitional water system for each site is indicated (gray text).</p>
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<p>The training data spatial distribution (red dots) for a single day overlaid on the OLCI timeseries spatial grid, colored to represent the value weighting relative to the coastline used for stratified random sampling frequency (from dark blue, being 10%, to yellow, at 100% random sampling frequency).</p>
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<p>Regional optical water type (OWT) clusters created from Tagus OLCI training data, showing spectra for each cluster together with spectra distribution for those training data with dominant membership for that particular cluster (cluster center is solid red line, +/−1 standard deviation in gray shading, percentiles as broken lines with rainbow colors). Lower plot shows overlaid cluster center spectra (solid line) for all OWT classes with +/−1 standard deviation in shading of same color.</p>
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<p>A comparison of log-transformed reflectance histogram and quantile–quantile (QQ) plots for single bands from the full training dataset (<b>left</b>) and for a particular cluster (here OWT 2, <b>right</b>). Through clustering, multimodality has been reduced and data better follow a normal distribution, as indicated by the disappearance of steps in the cluster QQ plots. The red line in the QQ plots is the standardized line, representing the expected order statistics scaled by the standard deviation of the given sample and then adding the mean.</p>
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<p>OLCI optical water type (OWT) cluster membership (%) distribution across the Tagus study site on 6 September 2020, with dark blue representing low membership to that cluster and yellow high cluster membership (masked water pixels are light gray).</p>
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<p>Regional optical water type (OWT) clusters created from the Tagus MSI training data, showing spectra for each cluster together with the spectra distribution for those training data with a dominant membership for that particular cluster (cluster center is solid red line, +/−1 standard deviation in gray shading, percentiles as broken lines with rainbow colors). The lower plot shows overlaid cluster center spectra (solid line) from all OWT classes with +/−1 standard deviation in the shading of the same color.</p>
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<p>The dominant MSI regional optical water type (OWT), based on summed membership for each pixel over the entire timeseries (2016 to 2021).</p>
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<p>The dominant MSI regional optical water type (OWT), based on summed membership for a particular month, for each pixel over the entire timeseries (2016 to 2021). Data from March, representing peak Tagus River discharge, are on the left and on the right from August when river discharge is at its lowest.</p>
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<p>Left column contains example subset of grouped OLCI regional optical water type (OWT) cluster spectra (solid line, standard deviation as shaded region) based on Adjusted Rand Index ≥ 0.35 threshold groups. Full grouping set is presented in <a href="#app1-remotesensing-16-03267" class="html-app">Supplemental Material</a>. Grouped regional OWT spectra were used to estimate initialization cluster center for semi-supervised global c-means analysis; right column contains associated OLCI pan-regional cluster spectra.</p>
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<p>Constrained Euclidean distance memberships (%) to the 18 OLCI pan-regional optical water type (OWT) classes for a single date (6 September 2020) from the Tagus Estuary.</p>
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<p>Dominant optical water type (OWT), based on summed membership for each pixel, over timeseries (2016 to 2021) for OLCI pan-regional (<b>left panel</b>) as compared with OC-CCI v6.0 1 km product (<b>right panel</b>).</p>
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<p>Left column contains example subset of grouped MSI regional optical water type (OWT) cluster spectra (solid line, standard deviation as shaded region) based on Adjusted Rand Index ≥ 0.35 threshold groups. Full grouping set is presented in <a href="#app1-remotesensing-16-03267" class="html-app">Supplemental Material</a>. Grouped regional OWT spectra were used to estimate initialization cluster center for semi-supervised global c-means analysis; right column contains associated MSI pan-regional cluster spectra.</p>
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<p>A comparison of MSI regional (<b>left column</b>) and pan-regional (<b>right column</b>) cluster set geographic coverage by dominant optical water type (OWT) for three study sites, based on dominant summed membership for the month (from full timeseries 2016 to 2021) with low river discharge for that site. Sites are (<b>a</b>) the Danube Delta and Razelm–Sinoe Lagoon System for the low river discharge month December, (<b>b</b>) the Tagus and Sado Estuaries for the month of August, and (<b>c</b>) the Tamar Estuary and Plymouth Sound for September.</p>
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29 pages, 23715 KiB  
Article
Forecasting In-Flight Icing over Greece: Insights from a Low-Pressure System Case Study
by Petroula Louka, Ioannis Samos and Flora Gofa
Atmosphere 2024, 15(8), 990; https://doi.org/10.3390/atmos15080990 - 17 Aug 2024
Viewed by 1154
Abstract
Forecasting in-flight icing conditions is crucial for aviation safety, particularly in regions with variable and complex meteorological configurations, such as Greece. Icing accretion onto the aircraft’s surfaces is influenced by the presence of supercooled water in subfreezing environments. This paper outlines a methodology [...] Read more.
Forecasting in-flight icing conditions is crucial for aviation safety, particularly in regions with variable and complex meteorological configurations, such as Greece. Icing accretion onto the aircraft’s surfaces is influenced by the presence of supercooled water in subfreezing environments. This paper outlines a methodology of forecasting icing conditions, with the development of the Icing Potential Algorithm that takes into consideration the meteorological scenarios related to icing accretion, using state-of-the-art Numerical Weather Prediction model results, and forming a fuzzy logic tree based on different membership functions, applied for the first time over Greece. The synoptic situation of an organized low-pressure system passage, with occlusion, cold and warm fronts, over Greece that creates dynamically significant conditions for icing formation was investigated. The sensitivity of the algorithm was revealed upon the precipitation, cloud type and vertical velocity effects. It was shown that the greatest icing intensity is associated with single-layer ice and multi-layer clouds that are comprised of both ice and supercooled water, while convectivity and storm presence lead to also enhancing the icing formation. A qualitative evaluation of the results with satellite, radar and METAR observations was performed, indicating the general agreement of the method mainly with the ground-based observations. Full article
(This article belongs to the Special Issue Numerical Weather Prediction Models and Ensemble Prediction Systems)
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<p>The membership functions for (<b>a</b>) temperature; (<b>b</b>) cloud top temperature; (<b>c</b>) relative humidity; (<b>d</b>) 3haccumulative precipitation; (<b>e</b>) vertical velocity and (<b>f</b>) cloud liquid water content. Membership functions from (<b>a</b>–<b>e</b>) were adopted from [<a href="#B12-atmosphere-15-00990" class="html-bibr">12</a>], while membership function (<b>f</b>) was adopted from [<a href="#B13-atmosphere-15-00990" class="html-bibr">13</a>].</p>
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<p>The membership functions for (<b>a</b>) temperature; (<b>b</b>) cloud top temperature; (<b>c</b>) relative humidity; (<b>d</b>) 3haccumulative precipitation; (<b>e</b>) vertical velocity and (<b>f</b>) cloud liquid water content. Membership functions from (<b>a</b>–<b>e</b>) were adopted from [<a href="#B12-atmosphere-15-00990" class="html-bibr">12</a>], while membership function (<b>f</b>) was adopted from [<a href="#B13-atmosphere-15-00990" class="html-bibr">13</a>].</p>
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<p>Flowchart of the IPA.</p>
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<p>Integration grid of the (<b>a</b>) COSMO=GR4 (4 km grid spacing) and (<b>b</b>) COSMO-GR1 (1 km grid spacing) models, showing the orography from low heights (blue color) to large heights (red color).</p>
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<p>UKMO analysis charts: (<b>a</b>) 12 March 2019 12UTC; (<b>b</b>) 12 March 2019 18UTC; and (<b>c</b>) 13 March 2019 00UTC (from <a href="https://www1.wetter3.de/archiv_ukmet_dt.html" target="_blank">https://www1.wetter3.de/archiv_ukmet_dt.html</a>, accessed on 30 September 2022).</p>
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<p>COSMO-GR predictions of (<b>a</b>) temperature and (<b>b</b>) relative humidity at 20,000 ft and (<b>c</b>) the 0 °C isotherm height on 12 March 2019 12UTC.</p>
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<p>IMERG 24 h precipitation on 12 March 2019. LGBL (Nea Aghialos) airport is shown with the black dot at the central continental Greece.</p>
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<p>Cloud mask field estimated by the IPA: (<b>a</b>) 12 March 2019 12UTC; (<b>b</b>) 12 March 2019 18UTC; and (<b>c</b>) 13 March 2019 00UTC.</p>
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<p>Cloud base height: (<b>a</b>) 12 March 2019 12UTC; (<b>b</b>) 12 March 2019 18UTC; (<b>c</b>) 13 March 2019 00UTC, and Cloud top height on: (<b>d</b>) 12 March 2019 12UTC; (<b>e</b>) 12 March 2019 18UTC; and (<b>f</b>) 13 March 2019 00UTC, as estimated by the IPA.</p>
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<p>Cloud base temperature: (<b>a</b>) 12 March 201912UTC; (<b>b</b>) 12 March 2019 18UTC; and (<b>c</b>) 13 March 2019 00UTC. Cloud top temperature: (<b>d</b>) 12 March 2019 12UTC; (<b>e</b>) 12 March 2019 18UTC; and (<b>f</b>) 13 March 2019 00UTC, as estimated by the IPA.</p>
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<p>IP<sub>S0</sub> estimated on 12 March 2019 12UTC at different flight levels: (<b>a</b>) 1000 ft; (<b>b</b>) 3000 ft; (<b>c</b>) 5000 ft; (<b>d</b>) 8000 ft; (<b>e</b>) 10,000 ft; (<b>f</b>) 15,000 ft; (<b>g</b>) 20,000 ft; (<b>h</b>) 25,000 ft; and (<b>i</b>) 30,000 ft.</p>
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<p>IP<sub>S0</sub> estimated on 12 March 2019 12UTC at different flight levels: (<b>a</b>) 1000 ft; (<b>b</b>) 3000 ft; (<b>c</b>) 5000 ft; (<b>d</b>) 8000 ft; (<b>e</b>) 10,000 ft; (<b>f</b>) 15,000 ft; (<b>g</b>) 20,000 ft; (<b>h</b>) 25,000 ft; and (<b>i</b>) 30,000 ft.</p>
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<p>Difference between IP<sub>S0</sub> and IP<sub>S2</sub> as calculated on 12 March 2019 12UTC at different flight levels: (<b>a</b>) 5000 ft; (<b>b</b>) 8000 ft; (<b>c</b>) 10,000 ft; (<b>d</b>) 15,000 ft; (<b>e</b>) 20,000 ft; and (<b>f</b>) 25,000 ft.</p>
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<p>Difference between IP<sub>S0</sub> and IP<sub>S2</sub> as calculated on 12 March 2019 12UTC at different flight levels: (<b>a</b>) 5000 ft; (<b>b</b>) 8000 ft; (<b>c</b>) 10,000 ft; (<b>d</b>) 15,000 ft; (<b>e</b>) 20,000 ft; and (<b>f</b>) 25,000 ft.</p>
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<p>Difference between IP<sub>S0</sub> and IP<sub>S3</sub> at (<b>a</b>) 5000 ft; (<b>b</b>) 10,000 ft; (<b>c</b>) 15,000 ft; between IP<sub>S0</sub> and IP<sub>S4</sub> at (<b>d</b>) 5000 ft; (<b>e</b>) 10,000 ft; (<b>f</b>) 15,000 ft; and between IP<sub>S0</sub> and IP<sub>S5</sub> at (<b>g</b>) 5000 ft; (<b>h</b>) 10,000 ft; and (<b>i</b>) 15,000 ft as calculated on 12 March 2019 12UTC.</p>
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<p>Cloud top heightfields as observed by the satellite (top): (<b>a</b>) 12 March 2019 12UTC; (<b>b</b>) 12 March 2019 18UTC; (<b>c</b>) 13 March 2019 00UTC and calculated by IPA (bottom) on: (<b>d</b>) 12 March 2019 12UTC; (<b>e</b>) 12 March 2019 18UTC; and (<b>f</b>) 13 March 2019 00UTC.</p>
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<p>Comparison of (<b>a</b>) satellite cloud phase fields, with the maximum icing severity fields corresponding to “none-light” (cyan), “moderate” (blue) and “severe” (light green) for (<b>b</b>) IP<sub>S0</sub>; (<b>c</b>) IP<sub>S2</sub>; and (<b>d</b>) IP<sub>S3</sub> on 12 March 2019 12UTC.</p>
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<p>Comparison of (<b>a</b>) satellite cloud phase fields, with the maximum icing severity fields corresponding to “none-light” (cyan), “moderate” (blue) and “severe” (light green) for (<b>b</b>) IP<sub>S0</sub>; (<b>c</b>) IP<sub>S2</sub>; and (<b>d</b>) IP<sub>S3</sub> on 12 March 2019 18UTC.</p>
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<p>Comparison of (<b>a</b>) satellite cloud phase fields, with the maximum icing severity fields corresponding to “none-light” (cyan), “moderate” (blue) and “severe” (light green) for (<b>b</b>) IP<sub>S0</sub>; (<b>c</b>) IP<sub>S2</sub>; and (<b>d</b>) IP<sub>S3</sub> on 12 March 2019 18UTC.</p>
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<p>Comparison of (<b>a</b>) satellite cloud phase fields, with the maximum icing severity fields corresponding to “none-light” (cyan), “moderate” (blue) and “severe” (light green) for (<b>b</b>) IP<sub>S0</sub>; (<b>c</b>) IP<sub>S2</sub>; and (<b>d</b>) IP<sub>S3</sub> on 13 March 2019 00UTC.</p>
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<p>Radar reflectivity images on 12 March 2019 from Larissa radar: (<b>a</b>)1155 UTC and (<b>b</b>) 1758UTC. The bold lines indicate the cross sections 1 (left image) and 2 (right image) that were used for extracting further discussion, while the colored dots indicate the location of Larissa radar (white northern dot) and Nea Aghialos airport (black dot).</p>
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<p>Cross section of radar reflectivity fields (in dBz) from Larissa radar, the corresponding satellite CTH (purple line) and the estimated CTH from IPA (black line) on 12 March 2019 at (<b>a</b>) 12UTCand cross section 1 and (<b>b</b>) 18UTCand cross section 2.</p>
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<p>IP images at cross section 1 together with the corresponding satellite CTH (purple line on 12 March 2019 at 12UTC for (<b>a</b>) IP<sub>S0</sub>, (<b>b</b>) IP<sub>S2</sub> and (<b>c</b>) IP<sub>S3</sub>.</p>
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<p>IP images at the cross section 2 together with the corresponding satellite CTH (purple line on 12 March 2019 at 18UTC for (<b>a</b>) IP<sub>S0</sub>, (<b>b</b>) IP<sub>S2</sub> and (<b>c</b>) IP<sub>S3</sub>.</p>
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<p>Vertical velocity ω as predicted by COSMO-GR at (<b>a</b>) cross section 1 on 12 March 2019 at 12 UTC and (<b>b</b>) cross section 2 on 12 March 2019 at 18 UTC together with the corresponding satellite CTH (purple line). Negative values of ω correspond to upward motion of air.</p>
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<p>Vertical profiles at Nea Aghialos location (LGBL) of (<b>a</b>) Larissa radar data and (<b>b</b>) IP<sub>S2</sub> on 12 March 2019 at 12UTC and (<b>c</b>) radar data and (<b>d</b>) IP<sub>S2</sub>on 12 March 2019 at 18UTC within a radius of 25 km. The horizontal axis of the radar data is in dBz and of the IP in percentage, while the vertical axes are in feet.</p>
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18 pages, 6848 KiB  
Article
Short-Term Load Forecasting Method Based on Bidirectional Long Short-Term Memory Model with Stochastic Weight Averaging Algorithm
by Qingyun Zhu, Shunqi Zeng, Minghui Chen, Fei Wang and Zhen Zhang
Electronics 2024, 13(15), 3098; https://doi.org/10.3390/electronics13153098 - 5 Aug 2024
Cited by 2 | Viewed by 1086
Abstract
To accommodate the rapid development of the distribution network of China, it is essential to research load forecasting methods with higher accuracy and stronger generalization capabilities in order to optimize distribution system control strategies, ensure the efficient and reliable operation of the power [...] Read more.
To accommodate the rapid development of the distribution network of China, it is essential to research load forecasting methods with higher accuracy and stronger generalization capabilities in order to optimize distribution system control strategies, ensure the efficient and reliable operation of the power system, and provide a stable power supply to users. In this paper, a short-term load forecasting method is proposed for low-voltage distribution substations based on the bidirectional long short-term memory (BiLSTM) model. First, principal component analysis (PCA) and the fuzzy C-means method based on a genetic algorithm (GA-FCM) are used to extract the main influencing factors and classify different types of user electricity consumption behaviors. Then, the BiLSTM forecasting model utilizing the stochastic weight averaging (SWA) algorithm to enhance generalization capability is constructed. Finally, the load data from a low-voltage distribution substation in China over recent years are selected as a case study. Compared with conventional LSTM and BiLSTM prediction models, the annual electricity load curves for various user types forecasted by the PCA-BiLSTM model are more closely aligned with actual data curves. The proposed BiLSTM forecasting model exhibits higher accuracy and can forecast user electricity consumption data that more accurately reflect real-life usage. Full article
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<p>Neuron structure of LSTM network.</p>
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<p>The structure of the BiLSTM network.</p>
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<p>Framework of the load forecasting model for the transformer district.</p>
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<p>Structure of the BiLSTM forecasting model.</p>
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<p>Clustering results of electricity consumption behavior characteristics: (<b>a</b>) Category 1 electricity consumption behavior of 109 users; (<b>b</b>) category 2 electricity consumption behavior of 18 users; (<b>c</b>) category 3 electricity consumption behavior of 47 users.</p>
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<p>Training set loss and validation set loss of the forecasting model.</p>
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<p>Load forecasting results: (<b>a</b>) Category 1 electricity consumption behavior; (<b>b</b>) category 2 electricity consumption behavior; (<b>c</b>) category 3 electricity consumption behavior.</p>
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<p>Load forecasting results of the distribution substation.</p>
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25 pages, 2936 KiB  
Review
Performance of Robust Type-2 Fuzzy Sliding Mode Control Compared to Various Conventional Controls of Doubly-Fed Induction Generator for Wind Power Conversion Systems
by Riyadh Rouabhi, Abdelghafour Herizi and Ali Djerioui
Energies 2024, 17(15), 3778; https://doi.org/10.3390/en17153778 - 31 Jul 2024
Cited by 1 | Viewed by 732
Abstract
This paper presents a novel hybrid type-2 fuzzy sliding mode control approach for regulating active and reactive power exchanged with the utility grid by a doubly-fed induction generator in a wind energy conversion system. The main objective of this hybridization is to eliminate [...] Read more.
This paper presents a novel hybrid type-2 fuzzy sliding mode control approach for regulating active and reactive power exchanged with the utility grid by a doubly-fed induction generator in a wind energy conversion system. The main objective of this hybridization is to eliminate the steady-state chattering phenomenon inherent in sliding mode control while improving the transient delays caused by type-2 fuzzy controllers. In addition, the proposed control approach has proven to be successful in coping with varying generator parameters and exhibited good reference tracking. An in-depth comparative study with state-of-the-art advanced control techniques is also the focus of the present paper. The comparative study has three objectives, namely: a qualitative comparative study that aims to compare response times and reference tracking capabilities; a quantitative evaluation that takes into account time-integrated performance criteria; and finally, robustness capabilities. The simulation results, carried out in the Matlab/Simulink environment, have demonstrated the effectiveness and best performance of the proposed hybrid type-2 fuzzy sliding mode control with respect to other advanced techniques included in the comparison study. Full article
(This article belongs to the Special Issue Low Carbon Energy Generation and Utilization Technologies)
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<p>(<b>a</b>) Mechanical speed; (<b>b</b>) Mechanical power; (<b>c</b>) Power coefficient; (<b>d</b>) Specific speed.</p>
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<p>Block diagram illustrating the vector control structure.</p>
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<p>Block diagram illustrating the structure of a type-1 fuzzy logic controller.</p>
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<p>Block diagram illustrating the structure of a type-2 fuzzy logic controller.</p>
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<p>Block diagram illustratingthe sliding mode control structure.</p>
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<p>Block diagram of hybrid type-1 fuzzy sliding mode control.</p>
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<p>Block diagram of hybrid type-2 fuzzy sliding mode control.</p>
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<p>Active and reactive stator powers for the seven controls with a zoom.</p>
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<p>Active and reactive stator powers for the seven controls with a zoom.</p>
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<p>Active and reactive stator powers for the seven controls with a zoom.</p>
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<p>(<b>a</b>) DC bus voltage−(<b>b</b>) Current with main voltage−(<b>c</b>) Active and reactive stator powers with a zoom.</p>
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<p>Stator active power−stator reactive power−error for the seven controls with zoom.</p>
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<p>Stator active power−stator reactive power−error for the seven controls with zoom.</p>
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<p>Stator active power−stator reactive power−error for the seven controls with zoom.</p>
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<p>Active and reactive stator powers for the seven controls in a single zoomed view.</p>
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19 pages, 288 KiB  
Article
Best Proximity Point Results for Fuzzy Proximal Quasi Contractions with Applications
by Muzammil Ali and Basit Ali
Mathematics 2024, 12(14), 2295; https://doi.org/10.3390/math12142295 - 22 Jul 2024
Viewed by 696
Abstract
In this work, we introduce a new type of multivalued fuzzy proximal quasi-contraction. These are generalized contractions which are a hybrid of H-contractive mappings and quasi-contractions. Furthermore, we establish the best proximity point results for newly introduced fuzzy contractions in the context [...] Read more.
In this work, we introduce a new type of multivalued fuzzy proximal quasi-contraction. These are generalized contractions which are a hybrid of H-contractive mappings and quasi-contractions. Furthermore, we establish the best proximity point results for newly introduced fuzzy contractions in the context of fuzzy b-metric spaces. Fuzzy b-metric spaces are more general than fuzzy metric spaces and are linked with the cosine distance, which is used in various contexts of artificial intelligence to measure the similarity between elements of a vector space. Full article
25 pages, 1378 KiB  
Article
Generalized Fuzzy-Valued Convexity with Ostrowski’s, and Hermite-Hadamard Type Inequalities over Inclusion Relations and Their Applications
by Miguel Vivas Cortez, Ali Althobaiti, Abdulrahman F. Aljohani and Saad Althobaiti
Axioms 2024, 13(7), 471; https://doi.org/10.3390/axioms13070471 - 12 Jul 2024
Viewed by 706
Abstract
Convex inequalities and fuzzy-valued calculus converge to form a comprehensive mathematical framework that can be employed to understand and analyze a broad spectrum of issues. This paper utilizes fuzzy Aumman’s integrals to establish integral inequalities of Hermite-Hahadard, Fejér, and Pachpatte types within up [...] Read more.
Convex inequalities and fuzzy-valued calculus converge to form a comprehensive mathematical framework that can be employed to understand and analyze a broad spectrum of issues. This paper utilizes fuzzy Aumman’s integrals to establish integral inequalities of Hermite-Hahadard, Fejér, and Pachpatte types within up and down (U·D) relations and over newly defined class U·D-ħ-Godunova–Levin convex fuzzy-number mappings. To demonstrate the unique properties of U·D-relations, recent findings have been developed using fuzzy Aumman’s, as well as various other fuzzy partial order relations that have notable deficiencies outlined in the literature. Several compelling examples were constructed to validate the derived results, and multiple notes were provided to illustrate, depending on the configuration, that this type of integral operator generalizes several previously documented conclusions. This endeavor can potentially advance mathematical theory, computational techniques, and applications across various fields. Full article
(This article belongs to the Special Issue Theory and Application of Integral Inequalities)
29 pages, 7815 KiB  
Article
Enhanced Fuzzy-Based Super-Twisting Sliding-Mode Control System for the Cessna Citation X Lateral Motion
by Seyed Mohammad Hosseini, Ilona Bematol, Georges Ghazi and Ruxandra Mihaela Botez
Aerospace 2024, 11(7), 549; https://doi.org/10.3390/aerospace11070549 - 3 Jul 2024
Viewed by 827
Abstract
A novel combination of three control systems is presented in this paper: an adaptive control system, a type-two fuzzy logic system, and a super-twisting sliding mode control (STSMC) system. This combination was developed at the Laboratory of Applied Research in Active Controls, Avionics [...] Read more.
A novel combination of three control systems is presented in this paper: an adaptive control system, a type-two fuzzy logic system, and a super-twisting sliding mode control (STSMC) system. This combination was developed at the Laboratory of Applied Research in Active Controls, Avionics and AeroServoElasticity (LARCASE). This controller incorporates two methods to calculate the gains of the switching term in the STSMC utilizing the particle swarm optimization algorithm: (1) adaptive gains and (2) optimized gains. This methodology was applied to a nonlinear model of the Cessna Citation X business jet aircraft generated by the simulation platform developed at the LARCASE in Simulink/MATLAB (R2022b) for aircraft lateral motion. The platform was validated with flight data obtained from a Level-D research aircraft flight simulator manufactured by the CAE (Montreal, Canada). Level D denotes the highest qualification that the FAA issues for research flight simulators. The performances of controllers were evaluated using the turbulence generated by the Dryden model. The simulation results show that this controller can address both turbulence and existing uncertainties. Finally, the controller was validated for 925 flight conditions over the whole flight envelope for a single configuration using both adaptive and optimized gains in switching terms of the STSMC. Full article
(This article belongs to the Special Issue Flight Control (2nd Edition))
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<p>The Level-D RAFS for the Cessna Citation X business jet aircraft.</p>
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<p>A simple Type-2 Fuzzy Logic System architecture.</p>
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<p>Upper (dashed line) and lower (solid line) membership functions and the FOU for the roll rate (in cyan) and its reference (in red).</p>
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<p>Simplified scheme of the designed control methodologies.</p>
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<p>Roll rate variations for T2AFSTSMC with (<b>a</b>) adaptive switching control term and (<b>b</b>) PSO algorithm (The black dashed line represents the reference signal).</p>
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<p>Mean absolute error for the T2AFSTSMC with adaptive switching control term (black) and the PSO algorithm (red) for each flight condition in ideal condition.</p>
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<p>Roll angle variations for the T2AFSTSMC with (<b>a</b>) adaptive switching control term and (<b>b</b>) PSO algorithm (The black dashed line represents the reference signal).</p>
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<p>Time variations of the aileron command for T2AFSTSMC with (<b>a</b>) adaptive switching control term and (<b>b</b>) the PSO-based one.</p>
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<p>Time variations of the sideslip angle for T2AFSTSMC with (<b>a</b>) adaptive switching control term and (<b>b</b>) the PSO-based one.</p>
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<p>Time variations of the yaw rate for T2AFSTSMC with (<b>a</b>) adaptive switching control term and (<b>b</b>) the PSO-based one.</p>
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<p>Time variations of the roll rate for T2AFSTSMC with (<b>a</b>) adaptive switching control term and (<b>b</b>) the PSO-based one (The black dashed line represents the reference signal).</p>
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<p>MAEs for T2AFSTSMC using an adaptive switching term (black) and a PSO-based switching term (red) for each flight condition with turbulence.</p>
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<p>Distribution of the MAEs for T2AFSTSMC using an adaptive switching term (UP) and a PSO-based switching term (down) under turbulence in 925 flight conditions.</p>
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<p>Roll angle time variations for T2AFSTSMC with turbulence using (<b>a</b>) an adaptive switching term and (<b>b</b>) a PSO-based switching term (The black dashed line represents the reference signal).</p>
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<p>Time variations of the aileron command for T2AFSTSMC under turbulence with (<b>a</b>) an adaptive switching control term and (<b>b</b>) a PSO-based switching term.</p>
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