一种自适应模糊Petri网及其应用*

模糊Petri网(fuzzy Petri nets, FPN)是基于模糊产生式规则的知识库系统的有力建模工具,但其缺乏较强的自学习能力。在FPN的基础上引入神经网络技术,给出了一种自适应模糊Petri网(adapt fuzzy Petri nets, AFPN)模型。该模型将神经网络中的BP网络算法引入到FPN模型中,对FPN中的权值进行反复的学习训练,避免了依靠人工经验设置带来的不确定性。AFPN具有很强的推理能力和自适应能力,对知识库系统的建立、更新和维护有着重要的意义。     

基于BP网络的模糊Petri网的学习能力

模糊Petri网(Fuzzy Petri Nets，FPN)是基于模糊产生式规则的知识库系统的良好建模工具，但自学习能力差是模糊系统本身的一个缺点．该文提出了适合模糊Petri网模型自学习的模糊推理算法和学习算法．在模糊推理算法中，通过对没有回路的FPN模型结构进行层次式划分以及建立变迁点燃和模糊推理的近似连续函数，从而把神经网络中的BP网络算法自然地引入到FPN模型中．在FPN模型上，用误差反传算法计算一阶梯度的方法对模糊产生式规则中的参数进行学习和训练．经过学习和训练的FPN具有很强的泛化能力和自适应功能．FPN模型经过训练得到的参数是有特定含义的，可以通过对这些参数的合法性分析，使得模糊产生式规则系统更加有效，也对知识库系统的建立、更新和维护有着重要的意义．     

通用的不带延迟的同质脉冲神经膜系统

脉冲神经膜系统是一种膜系统中吸收了脉冲神经网络特点的新型生物计算装置,具有强大的计算能力。同质脉冲神经膜系统是指一种所有神经元具有相同规则集合的脉冲神经膜系统的变体。研究了突触上带权值和突触上不带权值的两种同质脉冲神经膜系统在不使用具有延迟的激发规则情况下的计算通用性问题,并证明了这两种不带延迟的同质脉冲神经膜系统无论是工作在产生模式下,还是工作在接收模式下都是计算通用的。解决了曾湘祥、张兴义和潘林强提出的关于不带延迟的同质脉冲神经膜系统是否具有计算通用性的公开问题。     

Experiments on the reliability of stochastic spiking neural P systems

In the area of membrane computing, time-freeness has been defined as the ability for a timed membrane system to produce always the same result, independently of the execution times associated to the rules. In this paper, we use a similar idea in the framework of spiking neural P systems, a model inspired by the structure and the functioning of neural cells. In particular, we introduce stochastic spiking neural P systems where the time of firing for an enabled spiking rule is probabilistically chosen and we investigate when, and how, these probabilities can influence the ability of the systems to simulate, in a reliable way, universal machines, such as register machines.     

基于自适应神经元学习模糊控制规则

本文给出了利用自适应神经元学习、修改模糊控制规划的新方法，该方法可以学习与当前控制过程输出性能有关的在过去起作用的控制规划，可以随过程环境变化自动调整控制规划，以改善过程输出性能。     

一种模糊推理过程神经网络及其应用研究

针对带有过程性模糊信息或动态领域规则的时变信息处理问题,提出一种模糊推理过程神经网络.该模型将模糊过程推理规则与数值型过程神经网络的动态信息处理机制相结合,将推理规则表示为过程神经元.利用过程神经网络的学习性质来实现对过程性定量与定性混合信息的自适应处理.分析了模糊推理过程神经网络的信息处理机制,并给出了相应的学习算法.以抽油机平衡诊断为例,实验结果验证了所提出模型和算法的有效性.     

K-聚类的模糊神经网络对DO的控制研究

运用一种基于K-聚类算法的模糊径向基函数（RBF）神经网络对污水处理中的溶解氧质量浓度进行控制,该方法结合了模糊控制的推理能力强与神经网络学习能力强的特点,将模糊控制、RBF神经网络以及K-聚类学习算法相结合以在线调整隶属函数,优化控制规则。通过对阶跃输入仿真分析,其结果表明基于RBF的模糊神经网络控制器具有良好的动态性能、较强的鲁棒性和抗干扰能力,使其快速、准确地达到期望水平。     

T-S模糊广义系统的逼近性

本文研究T-S模糊广义系统的逼近性,给出了T-S模糊广义系统的逼近性定理.证明其可以以任意的精度逼近一类广泛存在的非线性广义系统.还将MISO(多输入单输出)情况推广到MIMO(多输入多输出)的情况.在逼近性定理的基础上,利用神经网络的方法对非线性广义系统建模,给出了神经网络的结构及学习算法.本文共提出了两种神经网路的训练策略,对各自的优点与不足给出了分析,最后用数值例子验证了算法的有效性.     

一种加权模糊推理网络模型及其应用

提出了一种加权模糊推理网络的结构模型和学习算法,该网络的基本信息处理单元为模糊推理神经元,融合了模糊逻辑能够较完整地表达领域规则和先验知识,以及神经网络自适应环境的优点。根据模糊推理规则的量化表示形式和微分方程数值解的动力学思想推导出了该网络模型的学习算法。该算法具有稳定、收敛速度快,且能较好地避免网络学习陷入局部极值点。以油田生产复杂水淹层识别问题为例,验证了模型和算法的有效性。     

基于Elman神经网络的浓相输送模糊控制系统

由于粉末物料的浓相输送系统存在严重的非线性和时变性,故要想建立其准确数学模型难度非常大,本文提出了使用模糊神经网络控制系统,并对于模糊控制规则由Elman神经网络联想记忆后提取,它不但可以获得最佳控制规则,而且响应速度快并能够进行在线进行规则的修正。经仿真实验,该控制器能够对粉末物料流量在一定范围内进行协调优化时实控制。     

脉冲神经膜系统在穷举使用规则下产生的二进制字符串语言

脉冲神经膜系统是基于大脑中神经元之间通过突触相瓦协作、处理脉冲的生物现象提出的一种新的模型,文中在穷举使用规则的情况下考虑将脉冲神经膜系统作为串语言产生器:当输出神经元发送出一个或多个神经脉冲时,用数字1表示,否则用数字0表示,当计算停止时,把产生的二进制串定义为系统的计算结果.在文中,作者让明了在穷举使用规则的情况下,具有一个神经元的脉冲神经膜系统可以刻画二进制有限语言,并且证明了在不限制神经元个数的情况下,该系统可以刻画递归可枚举语言.     

脉冲神经膜系统求解任意两个自然数的乘积

考虑在一种新的生物计算装置(即脉冲神经膜系统)上处理任意两个自然数的乘积问题.首先给出了具有单个输入神经元的脉冲神经膜系统,它可以求解n-addition问题(即n个自然数的求和);其次,构造了一族脉冲神经膜系统,使该族中的每个系统可以求解给定二进制位长度的任意两个自然数的乘积.文中解决了Miguel AGutierrez-Naranjo和Alberto Leporati提出的一个公开问题.     

Research and Design of a Fuzzy Neural Expert System

We have developed a fuzzy neural expert system that has the precision and learning ability of a neural network.Knowledge is acquired from domain experts as fuzzy rules and membership functions.Then,they are converted into a neural network which implements fuzzy inference without rule matching.The neural network is applied to problem-solving and learns from the data obtained during operation to enhance the accuracy.The learning ability of the neural network makes it easy to modify the membership functions defined by domain experts.Also,by modifying the weights of neural networks adaptively,the problem of belief propagation in conventional expert systems can be solved easily.Converting the neural network back into fuzzy rules and membership functions helps explain the inner representation and operation of the neural network.     

Multilevel fuzzy relational systems: structure and identification

 Existing fuzzy relational equations (FRE) typically possess an evident single-level structure, where no consequence part of the rule being modeled, is used as a fact to another rule. Corresponding to multistage fuzzy reasoning, a natural extension of traditional fuzzy relational systems (FRS) is to introduce some intermediate levels of processing governed by enhanced FRE's so that the structure resulted becomes multilevel or multistage. Three basic multilevel FRS structures, namely, incremental, aggregated, and cascaded, are considered in this paper and they correspond to different reasoning mechanisms being frequently used by human beings in daily life. While the research works on multilevel FRS are sparse and our ability to solve a system of multilevel FRE's in a purely analytical manner is very limited, we address the identification problem from an optimization approach and introduce three fuzzy neural models. The proposed models consist of single-level FRS modules that are arranged in different hierarchical manners. Each module can be realized by Lin and Lee's fuzzy neural model for implementing the Mamdani fuzzy inference. We have particularly addressed the problem of how to distribute the input variables to different (levels of) relational modules for the incremental and aggregated models. In addition, the new models can learn a complete multistage fuzzy rule set from stipulated data pairs using structural and parameter learning. The effectiveness of the multilevel models has been demonstrated through various benchmarking problems. It can be generally concluded that the new models are distinctive in learning, generalization, and robustness.     

Spiking neural P systems with neuron division and budding

Spiking neural P systems are a class of distributed and parallel computing models inspired by spiking neurons.In this work,the features of neuron division and neuron budding are introduced into the framework of spiking neural P systems,which are processes inspired by neural stem cell division. With neuron division and neuron budding,a spiking neural P system can generate exponential work space in polynomial time as the case for P systems with active membranes.In this way,spiking neural P systems can efficie...     

加权模糊推理网络及在水淹层识别中的应用

提出了一种加权模糊推理网络的结构模型和学习算法，该网络的基本信息处理单元为模糊推理神经元，融合了模糊逻辑能够较完整的表达领域规则和先验知识以及神经网络自适应环境的优点。根据模糊推理规则的量化表示形式和微分方程数值解的动力学思想推导出网络一种新的学习算法。该算法具有稳定，收敛速度快，且能较好避免网络学习陷入局部极值点。以油田生产复杂水淹层识别问题为例，验证了模型和算法的有效性。     

非线性系统模糊神经网络变结构自适应控制

在非线性系统的模糊动力学模型基础上,提出一种模糊神经网络变结构自适应控制器;网络的结构根据非线性系统特性动态构成,基于该网络提出非线性预测器,基于梯度法提出了一种网络参数学习算法,并分析了收敛性及其性质。将网络预测器与参数学习算法相结合,构成自适应控制算法,证明了算法的收敛性。仿真结果证实了算法的有效性。     

Weighted fuzzy reasoning using weighted fuzzy Petri nets

This paper presents a Weighted Fuzzy Petri Net model (WFPN) and proposes a weighted fuzzy reasoning algorithm for rule-based systems based on Weighted Fuzzy Petri Nets. The fuzzy production rules in the knowledge base of a rule-based system are modeled by Weighted Fuzzy Petri Nets, where the truth values of the propositions appearing in the fuzzy production rules and the certainty factors of the rules are represented by fuzzy numbers. Furthermore, the weights of the propositions appearing in the rules are also represented by fuzzy numbers. The proposed weighted fuzzy reasoning algorithm can allow the rule-based systems to perform fuzzy reasoning in a more flexible and more intelligent manner     

Homogeneous spiking neural P systems working in sequential mode induced by maximum spike number

Spiking neural P systems (SN P systems, for short) are a class of distributed parallel computing devices inspired by the way neurons communicate by means of spikes, where neurons work in parallel in the sense that each neuron that can fire should fire at each computation step, and neurons can be different in the sense that they can have different sets of spiking rules. In this work, we consider SN P systems with the restrictions: (1) all neurons are homogeneous in the sense that each neuron has the same set of rules; (2) at each step the neuron with the maximum number of spikes among the neurons that are active (can spike) will fire. These restrictions correspond to the fact that the system consists of only one kind of neurons and a global view of the whole network makes the system sequential. The computation power of homogeneous SN P systems working in the sequential mode induced by the maximum spike number is investigated. Specifically, it is proved that such systems are universal as both generating and accepting devices.     

On the interpretation of fuzzy if then rules

The basic algorithm for reasoning in the fuzzy systems modeling method is introduced. Two classes of operators for interpreting the rules in these models are described, the Mamdani-Zadeh operator and the logical operator. The basic characteristics of these operators are presented and it is shown that the two classes of operators are distinguished by their response to a zero firing level. A class of Mamdani-Zadeh operators based upon the residuation operation is presented. A comparison is made between the performance of these residuation based Mamdani-Zadeh operators and the standard Mamdani-Zadeh operators derived from the t-norm. A new class of Mamdani-Zadeh operators based upon a generalization of the bounded difference is presented.