A neurofuzzy system based on rough set theory and genetic algorithm

This paper presents a hybrid soft computing modeling approach for a neurofuzzy system based on rough set theory and the genetic algorithms ( NFRSGA ). The fundamental problem of a neurofuzzy system is that when the input dimension increases, the fuzzy rule base increases exponentially. This leads to a huge infrastructure network which results in slow convergence. To solve this problem, rough set theory is used to obtain the reductive rules, which are used as fuzzy rules of the fuzzy system. The number of rules decrease, and each rule does not need all the conditional attribute values. This results in a reduced, or not fully connected, neural network. The structure of the neural network is relatively small and thus the weights to be trained decrease. The genetic algorithm is used to search the optimal discretization of the continuous attributes. The NFRSGA approach has been applied in the practical application of building a soft sensor model for estimating the freezing point of the light diesel fuel in a Fluid Catalytic Cracking Unit (FCCU) , and satisfying results are obtained.     

Fuzzy optimization neural network model based on LM algorithm

A new fuzzy optimization neural network model is proposed based on the Levenberg-Marquardt (LM) algorithm on account of the disadvantages of slow convergence of traditional fuzzy optimization neural network model. In this new model,the gradient descent algorithm is replaced by the LM algorithm to obtain the minimum of output errors during network training,which changes the weights adjusting equations of the network and increases the training speed. Moreover,to avoid the results yielding to local minimum,the transfer function is also revised to sigmoid function. A case study is utilized to validate this new model,and the results reveal that the new model fast training speed and better forecasting capability.     

A fuzzy neural network evolved by particle swarm optimization

A cooperative system of a fuzzy logic model and a fuzzy neural network(CSFLMFNN)is proposed,in which a fuzzy logic model is acquired from domain experts and a fuzzy neural network is generated and prewired according to the model.Then PSO-CSFLMFNN is constructed by introducing particle swarm optimization(PSO)into the cooperative system instead of the commonly used evolutionary algorithms to evolve the prewired fuzzy neural network.The evolutionary fuzzy neural network implements accuracy fuzzy inference without rule matching.PSO-CSFLMFNN is applied to the intelligent fault diagnosis for a petrochemical engineering equipment,in which the cooperative system is proved to be effective.It is shown by the applied results that the performance of the evolutionary fuzzy neural network outperforms remarkably that of the one evolved by genetic algorithm in the convergence rate and the generalization precision.     

Modeling and Simulation of Time Series Prediction Based on Dynamic Neural Network

Molding and simulation of time series prediction based on dynamic neural network(NN) are studied.Prediction model for non-linear and time-varying system is proposed based on dynamic Jordan NN. Aiming at the intrinsic defects of back-propagation (BP) algorithm that cannot update network weights incrementally, a hybrid algorithm combining the temporal difference (TD) method with BP algorithm to train Jordan NN is put forward.The proposed method is applied to predict the ash content of clean coal in jigging production real-time and multistep. A practical example is also given and its application results indicate that the method has better performance than others and also offers a beneficial reference to the prediction of nonlinear time series.     

Predicting Model forComplex Production Process Based on Dynamic Neural Network

Based on the comparison of several methods of time series predicting, this paper points out that it is necessary to use dynamic neural network in modeling of complex production process. Because self-feedback and mutual-feedback are adopted among nodes at the same layer in Elman network, it has stronger ability of dynamic aping given, dynamic back-propagation (BP) algorithm of training weights of Elman neural network is deduced. At last, the network is used to predict ash content of black amber in jigging production process. The results show that this neural network is powerful in predicting and suitable for modeling, predicting, and controling of complex production process.     

Adaptive control of machining process based on extended entropy square error and wavelet neural network

Combining information entropy and wavelet analysis with neural network,an adaptive control system and an adaptive control algorithm are presented for machining process based on extended entropy square error(EESE)and wavelet neural network(WNN).Extended entropy square error function is defined and its availability is proved theoretically.Replacing the mean square error criterion of BP algorithm with the EESE criterion,the proposed system is then applied to the on-line control of the cutting force with variable cutting parameters by searching adaptively wavelet base function and self adjusting scaling parameter,translating parameter of the wavelet and neural network weights.Simulation results show that the designed system is of fast response,non-overshoot and it is more effective than the conventional adaptive control of machining process based on the neural network.The suggested algorithm can adaptively adjust the feed rate on-line till achieving a constant cutting force approaching the reference force in varied cutting conditions,thus improving the machining efficiency and protecting the tool.     

Parallel Machine Scheduling Models with Fuzzy Parameters and Precedence Constraints： A Credibility Approach

A method for modeling the parallel machine scheduling problems with fuzzy parameters and precedence constraints based on credibility measure is provided. For the given n jobs to be processed on m machines, it is assumed that the processing times and the due dates are nonnegative fuzzy numbers and all the weights are positive, crisp numbers. Based on credibility measure, three parallel machine scheduling problems and a goal-programming model are formulated. Feasible schedules are evaluated not only by their objective values but also by the credibility degree of satisfaction with their precedence constraints. The genetic algorithm is utilized to find the best solutions in a short period of time. An illustrative numerical example is also given. Simulation results show that the proposed models are effective, which can deal with the parallel machine scheduling problems with fuzzy parameters and precedence constraints based on credibility measure.     

T-S norm FNN controller based on hybrid learning algorithm

Aiming at the problems that fuzzy neural network controller has heavy computation and lag,a T-S norm Fuzzy Neural Network Control based on hybrid learning algorithm was proposed.Immune genetic algorithm (IGA) was used to optimize the parameters of membership functions (MFs) off line,and the neural network was used to adjust the parameters of MFs on line to enhance the response of the controller.Moreover,the latter network was used to adjust the fuzzy rules automatically to reduce the computation of the neural network and improve the robustness and adaptability of the controller,so that the controller can work well ever when the underwater vehicle works in hostile ocean environment.Finally,experiments were carried on " XX" mini autonomous underwater vehicle (min-AUV) in tank.The results showed that this controller has great improvement in response and overshoot,compared with the traditional controllers.     

Neural network modeling and control of proton exchange membrane fuel cell

A neural network model and fuzzy neural network controller was designed to control the inner impedance of a proton exchange membrane fuel cell (PEMFC) stack. A radial basis function (RBF) neural network model was trained by the input-output data of impedance. A fuzzy neural network controller was designed to control the impedance response. The RBF neural network model was used to test the fuzzy neural network controller. The results show that the RBF model output can imitate actual output well, the maximal error is not beyond 20 m-, the training time is about 1 s by using 20 neurons, and the mean squared errors is 141.9 m-2. The impedance of the PEMFC stack is controlled within the optimum range when the load changes, and the adjustive time is about 3 min.     

A novel genetic algorithm for vehicle routing problem with time windows

A novel genetic algorithm with multiple species in dynamic region is proposed,each of which occupies a dynamic region determined by the weight vector of a fuzzy adaptive Hamming neural network. Through learning and classification of genetic individuals in the evolutionary procedure,the neural network distributes multiple species into different regions of the search space. Furthermore,the neural network dynamically expands each search region or establishes new region for good offspring individuals to continuously keep the diversification of the genetic population. As a result,the premature problem inherent in genetic algorithm is alleviated and better tradeoff between the ability of exploration and exploitation can be obtained. The experimental results on the vehicle routing problem with time windows also show the good performance of the proposed genetic algorithm.     

基于粗糙集理论的模糊神经网络建模方法

采用基于粗糙集的模糊神经网络模型,将粗糙集理论与模糊神经网络相结合,通过利用粗糙集理论中的约简的计算方法,从样本数据中获取精简的规则,再根据这些规则构造模糊神经网络各层的神经元个数,克服了当输入维数高时,模糊神经网络的结构过于庞大的缺点,从而使网络模型结构最简.并采用误差反向传播算法(BP算法)来训练该新型网络中的权值参数及隶属函数的中心值和宽度,仿真结果验证了该模型的优越性.     

粗糙集模糊神经网络软件质量预测

以面向对象的软件度量为研究对象,首先采用SOM神经网络离散化度量元因子矩阵数据,接着对于得到的离散化的矩阵数据采用粗糙集理论的属性约简算法进行属性约简,然后根据约简得到规则构造模糊神经网络的网络结构,并采用BP算法对网络进行训练,最后通过仿真实验验证了该算法。     

基于知识的神经网络产生式规则的获取方法研究

将连续数据离散化并将已有知识规则的依赖度作为神经网络的初始权值,构建新的网络结构并对其动态训练,给出其具体网络训练算法.从训练后的网络权值中利用正确的分类及该网络结构具有的性质,从而给出其具体的规则抽取算法,并将抽取的具有冗余性的产生式规则利用粗集理论进一步对其精化处理,最后得出最简化的产生式知识规则.充分结合神经网络及粗集理论的优点,探索两者的有机结合无疑对智能信息处理系统的研究具有重要的现实意义.     

基于模糊加权论证方法的模糊神经网络

在‘Mamdani'论证方法的基础上提出改进的模糊加权推理方法.模糊神经网络是以改进模糊加权论证方法为基础发展起来的.网络加权和成员函数最优化的相互匹配在应用发展规则系统的条件下进行.模糊规则可根据网络加权而获得,网络模型的有效性和最优化程度可以由仿真实验检验.     

A Direct Feedback Control Based on Fuzzy Recurrent Neural Network

A direct feedback control system based on fuzzy-recurrent neural network is prosed, and a method of training weights of fuzzy-recurrent neural network was designed by applying modified contract mapping genetic algorithm. Computer simulation results indicate that fuzzy-recurrent neural network controller has perfect dynamic and static performances .     

模糊神经网络系统的设计与应用研究

把模糊逻辑系统与神经网络相结合,形成结构像神经网络,功能似模糊逻辑系统的模糊神经网络系统,该系统具备了模糊逻辑系统和神经网络的优点,克服了单个系统的不足。再结合误差反向传递学习算法（BP算法）,调整模型参数及权值。最后应用模糊神经网络系统解决实际问题,经过若干次学习训练,使系统达到稳定,通过仿真结果可看出;将所设计的模糊神经网络系统应用在WTI原油价格预测中具有可行性与有效性。     

基于RS-GA-BP神经网络的住宅房地产估价模型与应用

针对一般住宅房地产估价问题的非线性特征,融合粗糙集方法、遗传算法和神经网络算法的优势,提出了一种新的住宅房地产估价模型一基于粗糙集、遗传算法和BP算法集成的住宅房地产估价模型．首先对影响房地产估价因素进行离散化处理,其次利用粗糙集方法对估价因素进行约简,即精减BP神经网络的输入变量,最后利用遗传算法来优化BP神经网络初始权重和阈值．优化后的BP神经网络具有较好的处理非线性问题的能力,收敛速度和仿真精度较传统BP算法都有了明显的提高．选取某市工程案例进行实证分析,研究结果表明,新的估价方法能较客观准确地估测住宅房地产的价格,在住宅房地产估价中具备较高的实用性．     

基于综合算法的补偿模糊神经网络建模方法

针对常规模糊神经网络和补偿模糊神经网络的不足,提出了一种综合聚类算法和梯度下降法的补偿模糊神经网络。该网络的学习分为两步:结构辨识和参数辨识。在结构辨识中,采用关系度聚类方法,自动地划分输入/输出空间,确定模糊规则的数目及每条规则中前提部分和结论部分的初始参数,即构造一个初始模糊模型;在参数辨识中,采用具有五层结构的补偿模糊神经网络,并根据梯度下降法调整所建的初始模糊模型参数,使其具有更高的精度。通过对一非线性系统的建模,仿真结果表明,该网络在建模精度和收敛速度上均优于常规模糊神经网络和补偿模糊神经网络。     

基于粗集规则编码的神经网络控制器设计

利用通过粗糙集产生的控制规则对神经子网络进行编码,用遗传算法独立进化每一个子网络,把进化后的子网络用改进的遗传算法通过适当连接形成最后的神经网络。利用该神经网络进行在线控制,并和PID控制效果相比较,证明了其有效性。