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Learning Vector Quantization-Based Fuzzy Rules Oversampling Method
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作者 Jiqiang Chen Ranran Han +1 位作者 Dongqing Zhang Litao Ma 《Computers, Materials & Continua》 SCIE EI 2024年第6期5067-5082,共16页
Imbalanced datasets are common in practical applications,and oversampling methods using fuzzy rules have been shown to enhance the classification performance of imbalanced data by taking into account the relationship ... Imbalanced datasets are common in practical applications,and oversampling methods using fuzzy rules have been shown to enhance the classification performance of imbalanced data by taking into account the relationship between data attributes.However,the creation of fuzzy rules typically depends on expert knowledge,which may not fully leverage the label information in training data and may be subjective.To address this issue,a novel fuzzy rule oversampling approach is developed based on the learning vector quantization(LVQ)algorithm.In this method,the label information of the training data is utilized to determine the antecedent part of If-Then fuzzy rules by dynamically dividing attribute intervals using LVQ.Subsequently,fuzzy rules are generated and adjusted to calculate rule weights.The number of new samples to be synthesized for each rule is then computed,and samples from the minority class are synthesized based on the newly generated fuzzy rules.This results in the establishment of a fuzzy rule oversampling method based on LVQ.To evaluate the effectiveness of this method,comparative experiments are conducted on 12 publicly available imbalance datasets with five other sampling techniques in combination with the support function machine.The experimental results demonstrate that the proposed method can significantly enhance the classification algorithm across seven performance indicators,including a boost of 2.15%to 12.34%in Accuracy,6.11%to 27.06%in G-mean,and 4.69%to 18.78%in AUC.These show that the proposed method is capable of more efficiently improving the classification performance of imbalanced data. 展开更多
关键词 OVERSAMPLING fuzzy rules learning vector quantization imbalanced data support function machine
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New Approaches to the Prognosis and Diagnosis of Breast Cancer Using Fuzzy Expert Systems
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作者 Elias Ayinbila Apasiya Abdul-Mumin Salifu Peter Awon-Natemi Agbedemnab 《Journal of Computer and Communications》 2024年第5期151-169,共19页
Breast cancer remains a significant global health challenge, necessitating effective early detection and prognosis to enhance patient outcomes. Current diagnostic methods, including mammography and MRI, suffer from li... Breast cancer remains a significant global health challenge, necessitating effective early detection and prognosis to enhance patient outcomes. Current diagnostic methods, including mammography and MRI, suffer from limitations such as uncertainty and imprecise data, leading to late-stage diagnoses. To address this, various expert systems have been developed, but many rely on type-1 fuzzy logic and lack mobile-based applications for data collection and feedback to healthcare practitioners. This research investigates the development of an Enhanced Mobile-based Fuzzy Expert system (EMFES) for breast cancer pre-growth prognosis. The study explores the use of type-2 fuzzy logic to enhance accuracy and model uncertainty effectively. Additionally, it evaluates the advantages of employing the python programming language over java for implementation and considers specific risk factors for data collection. The research aims to dynamically generate fuzzy rules, adapting to evolving breast cancer research and patient data. Key research questions focus on the comparative effectiveness of type-2 fuzzy logic, the handling of uncertainty and imprecise data, the integration of mobile-based features, the choice of programming language, and the creation of dynamic fuzzy rules. Furthermore, the study examines the differences between the Mamdani Inference System and the Sugeno Fuzzy Inference method and explores challenges and opportunities in deploying the EMFES on mobile devices. The research identifies a critical gap in existing breast cancer diagnostic systems, emphasizing the need for a comprehensive, mobile-enabled, and adaptable solution by developing an EMFES that leverages Type-2 fuzzy logic, the Sugeno Inference Algorithm, Python Programming, and dynamic fuzzy rule generation. This study seeks to enhance early breast cancer detection and ultimately reduce breast cancer-related mortality. 展开更多
关键词 EMFES Breast Cancer Type-2 Fl Soft Computing Membership Functions fuzzy Set fuzzy rules Risk Factors.
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An Intelligent Medical Expert System Using Temporal Fuzzy Rules and Neural Classifier
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作者 Praveen Talari A.Suresh M.G.Kavitha 《Intelligent Automation & Soft Computing》 SCIE 2023年第1期1053-1067,共15页
As per World Health Organization report which was released in the year of 2019,Diabetes claimed the lives of approximately 1.5 million individuals globally in 2019 and around 450 million people are affected by diabete... As per World Health Organization report which was released in the year of 2019,Diabetes claimed the lives of approximately 1.5 million individuals globally in 2019 and around 450 million people are affected by diabetes all over the world.Hence it is inferred that diabetes is rampant across the world with the majority of the world population being affected by it.Among the diabetics,it can be observed that a large number of people had failed to identify their disease in the initial stage itself and hence the disease level moved from Type-1 to Type-2.To avoid this situation,we propose a new fuzzy logic based neural classifier for early detection of diabetes.A set of new neuro-fuzzy rules is introduced with time constraints that are applied for thefirst level classification.These levels are further refined by using the Fuzzy Cognitive Maps(FCM)with time intervals for making thefinal decision over the classification process.The main objective of this proposed model is to detect the diabetes level based on the time.Also,the set of neuro-fuzzy rules are used for selecting the most contributing values over the decision-making process in diabetes prediction.The proposed model proved its efficiency in performance after experiments conducted not only from the repository but also by using the standard diabetic detection models that are available in the market. 展开更多
关键词 DIABETES type-1 type-2 feature selection CLASSIFICATION fuzzy rules fuzzy cognitive maps CLASSIFIER
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A Distributed OA Expert System Model Based on Fuzzy Rules
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作者 左保河 冯姗 《Journal of Southeast University(English Edition)》 EI CAS 2001年第2期32-35,共4页
By the analysis of CORBA technology, distributed technology, multi agent, fuzzy cluster, OA system, expert system and decision support technology, a distributed OA expert system model based on fuzzy rules (DOAES) is ... By the analysis of CORBA technology, distributed technology, multi agent, fuzzy cluster, OA system, expert system and decision support technology, a distributed OA expert system model based on fuzzy rules (DOAES) is proposed. In DOAES, the knowledge and experience of decision makers are processed and transferred into the knowledge base. So the system has the adaptive ability and re study function and the decision results are more scientific and more objective. The DOAES is successfully applied in the management system of invest promotion. 展开更多
关键词 CORBA fuzzy rule OA system multi agent
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An Improved SPSA Algorithm for System Identification Using Fuzzy Rules for Training Neural Networks 被引量:1
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作者 Ahmad T.Abdulsadda Kamran Iqbal 《International Journal of Automation and computing》 EI 2011年第3期333-339,共7页
Simultaneous perturbation stochastic approximation (SPSA) belongs to the class of gradient-free optimization methods that extract gradient information from successive objective function evaluation. This paper descri... Simultaneous perturbation stochastic approximation (SPSA) belongs to the class of gradient-free optimization methods that extract gradient information from successive objective function evaluation. This paper describes an improved SPSA algorithm, which entails fuzzy adaptive gain sequences, gradient smoothing, and a step rejection procedure to enhance convergence and stability. The proposed fuzzy adaptive simultaneous perturbation approximation (FASPA) algorithm is particularly well suited to problems involving a large number of parameters such as those encountered in nonlinear system identification using neural networks (NNs). Accordingly, a multilayer perceptron (MLP) network with popular training algorithms was used to predicate the system response. We found that an MLP trained by FASPSA had the desired accuracy that was comparable to results obtained by traditional system identification algorithms. Simulation results for typical nonlinear systems demonstrate that the proposed NN architecture trained with FASPSA yields improved system identification as measured by reduced time of convergence and a smaller identification error. 展开更多
关键词 Nonlinear system identification simultaneous perturbation stochastic approximation (SPSA) neural networks (NNs) fuzzy rules multi-layer perceptron (MLP).
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Generating Fuzzy Rule-based Systems from Examples Based on Robust Support Vector Machine
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作者 贾泂 张浩然 《Journal of Donghua University(English Edition)》 EI CAS 2006年第6期144-147,共4页
This paper firstly proposes a new support vector machine regression (SVR) with a robust loss function, and designs a gradient based algorithm for implementation of the SVR, then uses the SVR to extract fuzzy rules and... This paper firstly proposes a new support vector machine regression (SVR) with a robust loss function, and designs a gradient based algorithm for implementation of the SVR, then uses the SVR to extract fuzzy rules and designs fuzzy rule-based system. Simulations show that fuzzy rule-based system technique based on robust SVR achieves superior performance to the conventional fuzzy inference method, the proposed method provides satisfactory performance with excellent approximation and generalization property than the existing algorithm. 展开更多
关键词 support vector machine fuzzy rules rule-based system generalization.
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Text categorization based on fuzzy classification rules tree 被引量:2
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作者 郭玉琴 袁方 刘海博 《Journal of Southeast University(English Edition)》 EI CAS 2008年第3期339-342,共4页
To deal with the problem that arises when the conventional fuzzy class-association method applies repetitive scans of the classifier to classify new texts,which has low efficiency, a new approach based on the FCR-tree... To deal with the problem that arises when the conventional fuzzy class-association method applies repetitive scans of the classifier to classify new texts,which has low efficiency, a new approach based on the FCR-tree(fuzzy classification rules tree)for text categorization is proposed.The compactness of the FCR-tree saves significant space in storing a large set of rules when there are many repeated words in the rules.In comparison with classification rules,the fuzzy classification rules contain not only words,but also the fuzzy sets corresponding to the frequencies of words appearing in texts.Therefore,the construction of an FCR-tree and its structure are different from a CR-tree.To debase the difficulty of FCR-tree construction and rules retrieval,more k-FCR-trees are built.When classifying a new text,it is not necessary to search the paths of the sub-trees led by those words not appearing in this text,thus reducing the number of traveling rules.Experimental results show that the proposed approach obviously outperforms the conventional method in efficiency. 展开更多
关键词 text categorization fuzzy classification association rule classification rules tree fuzzy classification rules tree
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Fuzzy adaptive genetic algorithm based on auto-regulating fuzzy rules 被引量:6
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作者 喻寿益 邝溯琼 《Journal of Central South University》 SCIE EI CAS 2010年第1期123-128,共6页
There are defects such as the low convergence rate and premature phenomenon on the performance of simple genetic algorithms (SGA) as the values of crossover probability (Pc) and mutation probability (Pro) are fi... There are defects such as the low convergence rate and premature phenomenon on the performance of simple genetic algorithms (SGA) as the values of crossover probability (Pc) and mutation probability (Pro) are fixed. To solve the problems, the fuzzy control method and the genetic algorithms were systematically integrated to create a kind of improved fuzzy adaptive genetic algorithm (FAGA) based on the auto-regulating fuzzy rules (ARFR-FAGA). By using the fuzzy control method, the values of Pc and Pm were adjusted according to the evolutional process, and the fuzzy rules were optimized by another genetic algorithm. Experimental results in solving the function optimization problems demonstrate that the convergence rate and solution quality of ARFR-FAGA exceed those of SGA, AGA and fuzzy adaptive genetic algorithm based on expertise (EFAGA) obviously in the global search. 展开更多
关键词 adaptive genetic algorithm fuzzy rules auto-regulating crossover probability adjustment
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Active suspension control of a one-wheel car model using single input rule modules fuzzy reasoning and a disturbance observer 被引量:7
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作者 YOSHIMURA Toshio TERAMURA Itaru 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2005年第4期251-256,共6页
This paper presents the construction of an active suspension control of a one-wheel car model using fuzzy reasoning and a disturbance observer. The one-wheel car model to be treated here can be approximately described... This paper presents the construction of an active suspension control of a one-wheel car model using fuzzy reasoning and a disturbance observer. The one-wheel car model to be treated here can be approximately described as a nonlinear two degrees of freedom system subject to excitation from a road profile. The active control is designed as the fuzzy control inferred by using single input rule modules fuzzy reasoning, and the active control force is released by actuating a pneumatic actuator. The excitation from the road profile is estimated by using a disturbance observer, and the estimate is denoted as one of the variables in the precondition part of the fuzzy control rules. A compensator is inserted to counter the performance degradation due to the delay of the pneumatic actuator. The experimental result indicates that the proposed active suspension system improves much the vibration suppression of the car model. Key words One-wheel car model - Active suspension system - Single input rule modules fuzzy reasoning - Pneumatic actuator - Disturbance observer Document code A CLC number TH16 展开更多
关键词 One-wheel car model Active suspension system Single input rule modules fuzzy reasoning Pneumatic actuator Disturbance observer
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Detection of Contamination Defect on Ice Cream Bar Based on Fuzzy Rule and Absolute Neighborhood 被引量:2
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作者 LI Shaoli YUAN Weiqi 《Instrumentation》 2017年第3期24-34,共11页
The contamination proposed in this paper is a defect on the surface of ice cream bar,which is a serious security threat.So it is essential to detect this defect before launched on the market. A detection method of con... The contamination proposed in this paper is a defect on the surface of ice cream bar,which is a serious security threat.So it is essential to detect this defect before launched on the market. A detection method of contamination defect on the ice cream bar surface is proposed,which is based on fuzzy rule and absolute neighborhood feature. Firstly,the ice cream bar surface is divided into several sub-regions via the defined adjacent gray level clustering method. Then the alternative contamination regions are extracted from the sub-regions via the defined fuzzy rule. At last,the real contamination regions are recognized via the relationship between absolute neighborhood gray feature and default threshold. The algorithm was tested in the self-built image database SUT-D. The results show that the accuracy of the method proposed in this paper is 97.32 percent,which increases 2.68 percent at least comparing to the other typical algorithms. It indicates that the superiority proposed in this paper,which is of actual use value. 展开更多
关键词 fuzzy rule Absolute Neighborhood Icecream Bar CONTAMINATION Adjacent Dray Level Clustering
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Intention Estimation of Adversarial Spatial Target Based on Fuzzy Inference 被引量:2
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作者 Wenjia Xiang Xiaoyu Li +4 位作者 Zirui He Chenjing Su Wangchi Cheng Chao Lu Shan Yang 《Intelligent Automation & Soft Computing》 SCIE 2023年第3期3627-3639,共13页
Estimating the intention of space objects plays an important role in air-craft design,aviation safety,military and otherfields,and is an important refer-ence basis for air situation analysis and command decision-making... Estimating the intention of space objects plays an important role in air-craft design,aviation safety,military and otherfields,and is an important refer-ence basis for air situation analysis and command decision-making.This paper studies an intention estimation method based on fuzzy theory,combining prob-ability to calculate the intention between two objects.This method takes a space object as the origin of coordinates,observes the target’s distance,speed,relative heading angle,altitude difference,steering trend and etc.,then introduces the spe-cific calculation methods of these parameters.Through calculation,values are input into the fuzzy inference model,andfinally the action intention of the target is obtained through the fuzzy rule table and historical weighted probability.Ver-ified by simulation experiment,the target intention inferred by this method is roughly the same as the actual behavior of the target,which proves that the meth-od for identifying the target intention is effective. 展开更多
关键词 Intension estimation motion parameters calculation fuzzy inference fuzzy rule table historical weighted probability
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Recognizing Expression Variant and Occluded Face Images Based on Nested HMM and Fuzzy Rule Based Approach 被引量:1
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作者 Parvathi Ramalingam Shanthi Dhanushkodi 《Circuits and Systems》 2016年第6期983-994,共12页
The face recognition with expression and occlusion variation becomes the greatest challenge in biometric applications to recognize people. The proposed work concentrates on recognizing occlusion and seven kinds of exp... The face recognition with expression and occlusion variation becomes the greatest challenge in biometric applications to recognize people. The proposed work concentrates on recognizing occlusion and seven kinds of expression variations such as neutral, surprise, happy, sad, fear, disgust and angry. During enrollment process, principle component analysis (PCA) detects facial regions on the input image. The detected facial region is converted into fuzzy domain data to make decision during recognition process. The Haar wavelet transform extracts features from the detected facial regions. The Nested Hidden markov model is employed to train these features and each feature of face image is considered as states in a Markov chain to perform learning among the features. The maximum likelihood for the input image was estimated by using Baum Welch algorithm and these features were kept on database. During recognition process, the expression and occlusion varied face image is taken as the test image and maximum likelihood for test image is found by following same procedure done in enrollment process. The matching score between maximum likelihood of input image and test image is computed and it is utilized by fuzzy rule based method to decide whether the test image belongs to authorized or unauthorized. The proposed work was tested among several expression varied and occluded face images of JAFFE and AR datasets respectively. 展开更多
关键词 Face Recognition fuzzy rule Based Method Expression and Occlusion Variation Baum Welch Algorithm Nested Hidden Markov Model
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Precision control of inverter welding power sources by using T-S fuzzy systems
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作者 周漪清 黄石生 +2 位作者 张红兵 王振民 解生冕 《China Welding》 EI CAS 2007年第4期72-76,共5页
The functional relationship of approximation accuracy and number of fuzzy sets is used to find the rational balance point between the control accuracy and the control cost of fuzzy systems. This approach efficiently e... The functional relationship of approximation accuracy and number of fuzzy sets is used to find the rational balance point between the control accuracy and the control cost of fuzzy systems. This approach efficiently eliminates the drawback of rapid control cost increase caused by blind increase of fuzzy set number in practical engineering. The sufficient conditions for TS fuzzy systems as universal approximators are derived. A special T-S fuzzy system that satisfied these conditions is analyzed, and the simulation results show that when the number of fuzzy sets is increased moderately, the model parameters' training epochs can be effectually decreased while the model accuracy improved significantly. A practical welding power source controlled by a T-S fuzzy system is developed with satisfactory experimental results. 展开更多
关键词 WELDING fuzzy system nonlinear system APPROXIMATORS fuzzy rules
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Hybrid approach for fuzzy system design
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作者 李映 赵荣椿 +1 位作者 张艳宁 焦李成 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2004年第3期299-303,共5页
A hybrid approach for fuzzy system design based on clustering and a kind of neurofuzzy networks is proposed. An unsupervised clustering technique is firstly used to determine the number of if-then fuzzy rules and gene... A hybrid approach for fuzzy system design based on clustering and a kind of neurofuzzy networks is proposed. An unsupervised clustering technique is firstly used to determine the number of if-then fuzzy rules and generate an initial fuzzy rule base from the given input-output data. Then, a class of neurofuzzy networks is constructed and its weights are tuned so that the obtained fuzzy rule base has a high accuracy. Finally, two examples of function approximation problems are given to illustrate the effectiveness of the proposed approach. 展开更多
关键词 fuzzy systems design fuzzy rule base CLUSTERING neurofuzzy networks.
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Fast generation method of fuzzy rules and its application to flux optimization in process of matter converting
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作者 胡志坤 彭小奇 桂卫华 《Journal of Central South University of Technology》 2006年第3期251-255,共5页
A fast generation method of fuzzy rules for flux optimization decision-making was proposed in order to extract the linguistic knowledge from numerical data in the process of matter converting. The fuzzy if-then rules ... A fast generation method of fuzzy rules for flux optimization decision-making was proposed in order to extract the linguistic knowledge from numerical data in the process of matter converting. The fuzzy if-then rules with consequent real number were extracted from numerical data, and a linguistic representation method for deriving linguistic rules from fuzzy if-then rules with consequent real numbers was developed. The linguistic representation consisted of The simulat two linguistic variables with the degree of certainty and the storage structure of rule base was described. on results show that the method involves neither the time-consuming iterative learning procedure nor the complicated rule generation mechanisms, and can approximate complex system. The method was applied to determine the flux amount of copper converting furnace in the process of matter converting. The real result shows that the mass fraction of Cu in slag is reduced by 0.5 %. 展开更多
关键词 fuzzy rule data mining Sugeno model intelligent optimization matter converting
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A NEURAL FUZZY INFERENCE SYSTEM
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作者 Lu Jing 《Journal of Electronics(China)》 2013年第4期401-410,共10页
This paper proposes a new neural fuzzy inference system that mainly consists of four parts. The first part is about how to use neural network to express the relation within a fuzzy rule. The second part is the simplif... This paper proposes a new neural fuzzy inference system that mainly consists of four parts. The first part is about how to use neural network to express the relation within a fuzzy rule. The second part is the simplification of the first part, and experiments show that these simplifications work. On the contrary to the second part, the third part is the enhancement of the first part and it can be used when the first part cannot work very well in the fuzzy inference algorithm, which would be introduced in the fourth part. Finally, the fourth part "neural fuzzy inference algorithm" is been introduced. It can inference the new membership function of the output based on previous fuzzy rules. The accuracy of the fuzzy inference algorithm is dependent on neural network generalization ability. Even if the generalization ability of the neural network we used is good, we still get inaccurate results since the new coming rule may not be related to any of the previous rules. Experiments show this algorithm is successful in situations which satisfy these conditions. 展开更多
关键词 fuzzy logic Neural network Relation within fuzzy rule . Graph solution
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Mining Frequent Sets Using Fuzzy Multiple-Level Association Rules
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作者 Qiang Gao Feng-Li Zhang Run-Jin Wang 《Journal of Electronic Science and Technology》 CAS CSCD 2018年第2期145-152,共8页
At present, most of the association rules algorithms are based on the Boolean attribute and single-level association rules mining. But data of the real world has various types, the multi-level and quantitative attribu... At present, most of the association rules algorithms are based on the Boolean attribute and single-level association rules mining. But data of the real world has various types, the multi-level and quantitative attributes are got more and more attention. And the most important step is to mine frequent sets. In this paper, we propose an algorithm that is called fuzzy multiple-level association (FMA) rules to mine frequent sets. It is based on the improved Eclat algorithm that is different to many researchers’ proposed algorithms thatused the Apriori algorithm. We analyze quantitative data’s frequent sets by using the fuzzy theory, dividing the hierarchy of concept and softening the boundary of attributes’ values and frequency. In this paper, we use the vertical-style data and the improved Eclat algorithm to describe the proposed method, we use this algorithm to analyze the data of Beijing logistics route. Experiments show that the algorithm has a good performance, it has better effectiveness and high efficiency. 展开更多
关键词 Association rules fuzzy multiple-level association(FMA) rules algorithm fuzzy set improved Eclat algorithm
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The Optimized Disign of the Fuzzy Controller(Ⅰ)——The predigested disquisition of rules of fuzzy control
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作者 YIN Hai dong,LIU Feng,XIN Ming ying (Northeast Agricultural University, Harbin, Heilongjiang,150090,PRC) 《Journal of Northeast Agricultural University(English Edition)》 CAS 2002年第2期153-157,共5页
To improve the ability and precisions of the fuzzy control,this thesis points out the adjusted fuzzy control method,realizes the precision of the fuzzy quantity, and reduces the number of the fuzzy control rules,so th... To improve the ability and precisions of the fuzzy control,this thesis points out the adjusted fuzzy control method,realizes the precision of the fuzzy quantity, and reduces the number of the fuzzy control rules,so that it can predigest the process of disigns and realize the methods without influencing the idiocratic control,which are on the base of the domain flexing. 展开更多
关键词 the fuzzy controller the partition of the fuzzy grades domain flexing domain self adjusting fuzzy control the rules of the fuzzy control
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Fuzzy-HLSTM(Hierarchical Long Short-Term Memory)for Agricultural Based Information Mining
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作者 Ahmed Abdu Alattab Mohammed Eid Ibrahim +2 位作者 Reyazur Rashid Irshad Anwar Ali Yahya Amin A.Al-Awady 《Computers, Materials & Continua》 SCIE EI 2023年第2期2397-2413,共17页
This research proposes a machine learning approach using fuzzy logic to build an information retrieval system for the next crop rotation.In case-based reasoning systems,case representation is critical,and thus,researc... This research proposes a machine learning approach using fuzzy logic to build an information retrieval system for the next crop rotation.In case-based reasoning systems,case representation is critical,and thus,researchers have thoroughly investigated textual,attribute-value pair,and ontological representations.As big databases result in slow case retrieval,this research suggests a fast case retrieval strategy based on an associated representation,so that,cases are interrelated in both either similar or dissimilar cases.As soon as a new case is recorded,it is compared to prior data to find a relative match.The proposed method is worked on the number of cases and retrieval accuracy between the related case representation and conventional approaches.Hierarchical Long Short-Term Memory(HLSTM)is used to evaluate the efficiency,similarity of the models,and fuzzy rules are applied to predict the environmental condition and soil quality during a particular time of the year.Based on the results,the proposed approaches allows for rapid case retrieval with high accuracy. 展开更多
关键词 Machine learning AGRICULTURE IOT HLSTM fuzzy rules
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Robust Design Rule with Definite Purpose Character Based on Fuzzy Probability and Study of its Characteristics
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作者 ZHANG Long-ting, HE Zhe-ming, GUO Hui-xin Department of Mechanical Engineering, Changde Teachers University, Hunan 415003, P.R.China 《International Journal of Plant Engineering and Management》 2003年第2期94-102,共9页
The design target with definite purpose character of product quality wasdescribed in a real fuzzy number ( named fuzzy target for short in this paper), and its membershipjunctions in common use were given. According t... The design target with definite purpose character of product quality wasdescribed in a real fuzzy number ( named fuzzy target for short in this paper), and its membershipjunctions in common use were given. According to the fuzzy probability theory and the robust designprinciple, the robust design rule based on fuzzy probability (named fuzzy robust design rule forshort) was put forward and its validity and practicability were analyzed and tested with a designexample. The theoretical analysis and the design examples make clear that, while the fuzzy robustdesign rule was used, the fine design effect can be obtained and the fuzzy robust design rule can bevery suitable for the choice of the membership function of the fuzzy target; so it has a particularadvantage. 展开更多
关键词 definite purpose character fuzzy number robust design fuzzy probability fuzzy robust design rule
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