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Hilbert C^(*)-模中g-Riesz基的对偶性
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作者 相中启 林春霞 +1 位作者 肖祥春 王茶生 《应用数学》 北大核心 2024年第2期403-410,共8页
本文研究Hilbert C^(*)-模中g-Riesz基的对偶性问题.利用算子理论方法,获得了Hilbert C^(*)-模中的给定序列是g-Riesz基且有唯一对偶g-框架的充要条件,g-Riesz基的对偶g-框架是g-Riesz基的充要条件,以及g-Riesz基成为无冗g-框架的充分条... 本文研究Hilbert C^(*)-模中g-Riesz基的对偶性问题.利用算子理论方法,获得了Hilbert C^(*)-模中的给定序列是g-Riesz基且有唯一对偶g-框架的充要条件,g-Riesz基的对偶g-框架是g-Riesz基的充要条件,以及g-Riesz基成为无冗g-框架的充分条件,所得结果进一步展示了g-框架理论在Hilbert C^(*)-模与Hilbert空间中的差异性. 展开更多
关键词 Hilbert C^(*)- g-Riesz基 G-框架 对偶g-框架
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闭子模中K-框架的几个新的不等式
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作者 相中启 肖祥春 《应用数学》 CSCD 北大核心 2022年第2期327-335,共9页
本文研究Hilbert C^(*)-模中K-框架的不等式问题.借助K-对偶构建了闭子模中K-框架的几个新的不等式,所得结果推广和改进了Hilbert空间中框架和Hilbert C^(*)-模中广义框架的相应结果.
关键词 Hilbert C^(*)- K-框架 K-对偶 MOORE-PENROSE逆
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Power interconnected system clustering with advanced fuzzy C-mean algorithm 被引量:6
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作者 王洪梅 KIM Jae-Hyung +2 位作者 JUNG Dong-Yean LEE Sang-Min LEE Sang-Hyuk 《Journal of Central South University》 SCIE EI CAS 2011年第1期190-195,共6页
An advanced fuzzy C-mean (FCM) algorithm was proposed for the efficient regional clustering of multi-nodes interconnected systems. Due to various locational prices and regional coherencies for each node and point, m... An advanced fuzzy C-mean (FCM) algorithm was proposed for the efficient regional clustering of multi-nodes interconnected systems. Due to various locational prices and regional coherencies for each node and point, modified similarity measure was considered to gather nodes having similar characteristics. The similarity measure was needed to contain locafi0nal prices as well as regional coherency. In order to consider the two properties simultaneously, distance measure of fuzzy C-mean algorithm had to be modified. Regional clustering algorithm for interconnected power systems was designed based on the modified fuzzy C-mean algorithm. The proposed algorithm produces proper classification for the interconnected power system and the results are demonstrated in the example of IEEE 39-bus interconnected electricity system. 展开更多
关键词 fuzzy C-mean similarity measure distance measure interconnected system CLUSTERING
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THRFuzzy:Tangential holoentropy-enabled rough fuzzy classifier to classification of evolving data streams 被引量:1
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作者 Jagannath E.Nalavade T.Senthil Murugan 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第8期1789-1800,共12页
The rapid developments in the fields of telecommunication, sensor data, financial applications, analyzing of data streams, and so on, increase the rate of data arrival, among which the data mining technique is conside... The rapid developments in the fields of telecommunication, sensor data, financial applications, analyzing of data streams, and so on, increase the rate of data arrival, among which the data mining technique is considered a vital process. The data analysis process consists of different tasks, among which the data stream classification approaches face more challenges than the other commonly used techniques. Even though the classification is a continuous process, it requires a design that can adapt the classification model so as to adjust the concept change or the boundary change between the classes. Hence, we design a novel fuzzy classifier known as THRFuzzy to classify new incoming data streams. Rough set theory along with tangential holoentropy function helps in the designing the dynamic classification model. The classification approach uses kernel fuzzy c-means(FCM) clustering for the generation of the rules and tangential holoentropy function to update the membership function. The performance of the proposed THRFuzzy method is verified using three datasets, namely skin segmentation, localization, and breast cancer datasets, and the evaluated metrics, accuracy and time, comparing its performance with HRFuzzy and adaptive k-NN classifiers. The experimental results conclude that THRFuzzy classifier shows better classification results providing a maximum accuracy consuming a minimal time than the existing classifiers. 展开更多
关键词 data stream classification fuzzy rough set tangential holoentropy concept change
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Adaptive WNN aerodynamic modeling based on subset KPCA feature extraction 被引量:4
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作者 孟月波 邹建华 +1 位作者 甘旭升 刘光辉 《Journal of Central South University》 SCIE EI CAS 2013年第4期931-941,共11页
In order to accurately describe the dynamic characteristics of flight vehicles through aerodynamic modeling, an adaptive wavelet neural network (AWNN) aerodynamic modeling method is proposed, based on subset kernel pr... In order to accurately describe the dynamic characteristics of flight vehicles through aerodynamic modeling, an adaptive wavelet neural network (AWNN) aerodynamic modeling method is proposed, based on subset kernel principal components analysis (SKPCA) feature extraction. Firstly, by fuzzy C-means clustering, some samples are selected from the training sample set to constitute a sample subset. Then, the obtained samples subset is used to execute SKPCA for extracting basic features of the training samples. Finally, using the extracted basic features, the AWNN aerodynamic model is established. The experimental results show that, in 50 times repetitive modeling, the modeling ability of the method proposed is better than that of other six methods. It only needs about half the modeling time of KPCA-AWNN under a close prediction accuracy, and can easily determine the model parameters. This enables it to be effective and feasible to construct the aerodynamic modeling for flight vehicles. 展开更多
关键词 WAVELET neural network fuzzy C-means clustering kernel principal components analysis feature extraction aerodynamic modeling
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A model to determining the remaining useful life of rotating equipment,based on a new approach to determining state of degradation 被引量:3
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作者 Saeed RAMEZANI Alireza MOINI +1 位作者 Mohamad RIAHI Adolfo Crespo MARQUEZ 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第8期2291-2310,共20页
Condition assessment is one of the most significant techniques of the equipment’s health management.Also,in PHM methodology cycle,which is a developed form of CBM,condition assessment is the most important step of th... Condition assessment is one of the most significant techniques of the equipment’s health management.Also,in PHM methodology cycle,which is a developed form of CBM,condition assessment is the most important step of this cycle.In this paper,the remaining useful life of the equipment is calculated using the combination of sensor information,determination of degradation state and forecasting the proposed health index.The combination of sensor information has been carried out using a new approach to determining the probabilities in the Dempster-Shafer combination rules and fuzzy c-means clustering method.Using the simulation and forecasting of extracted vibration-based health index by autoregressive Markov regime switching(ARMRS)method,final health state is determined and the remaining useful life(RUL)is estimated.In order to evaluate the model,sensor data provided by FEMTO-ST Institute have been used. 展开更多
关键词 remaining useful life(RUL) prognostics and health management(PHM) autoregressive markov regime switching(ARMRS) health index(HI) Dempster-Shafer theory fuzzy c-means(FCM) Kurtosis-entropy DEGRADATION
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A product module mining method for PLM database 被引量:2
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作者 雷佻钰 彭卫平 +3 位作者 雷金 钟院华 张秋华 窦俊豪 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第7期1754-1766,共13页
Modular technology can effectively support the rapid design of products, and it is one of the key technologies to realize mass customization design. With the application of product lifecycle management(PLM) system in ... Modular technology can effectively support the rapid design of products, and it is one of the key technologies to realize mass customization design. With the application of product lifecycle management(PLM) system in enterprises, the product lifecycle data have been effectively managed. However, these data have not been fully utilized in module division, especially for complex machinery products. To solve this problem, a product module mining method for the PLM database is proposed to improve the effect of module division. Firstly, product data are extracted from the PLM database by data extraction algorithm. Then, data normalization and structure logical inspection are used to preprocess the extracted defective data. The preprocessed product data are analyzed and expressed in a matrix for module mining. Finally, the fuzzy c-means clustering(FCM) algorithm is used to generate product modules, which are stored in product module library after module marking and post-processing. The feasibility and effectiveness of the proposed method are verified by a case study of high pressure valve. 展开更多
关键词 product design module division product module mining product lifecycle management (PLM) database
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