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Fuzzy logic is studied with algebraic tools in this paper. A kind of algebraic abstract of fuzzy logic, Implication Algebra on a partial ordered set, is given. The relations between Implication Algebra and other algebraic structures, such as MV-Algebra and Heyting Algebra etc., and the filter and the structure of Implication Algebra on a partial ordered set are studied.

本文的目的是使用代数工具对模糊逻辑进行研究,给出模糊逻辑的一类代数抽象,即偏序集上的蕴涵代数,研究偏序集上蕴涵代数与其它代数结构,如MV-代数,Heyting代数之间的关系,以及偏序集上蕴涵代数的滤子与其结构等。

In chapter 2, the principle of neural network and fuzzy logic control are introduced briefly.

在第二章,简要介绍了神经网络和模糊控制的基本理论,包括神经元的结构,网络连接方法及其相应的学习算法,模糊集合与模糊逻辑的基本概念及运算关系,模糊控制器的结构,模糊推理的基本方法。

The thesis first recommends the famous fuzzy Gaussian approximation system which is based on the Gaussian membership function, the fuzzy logic of product reasoning and the fuzzy law of weight approach. This thesis is discusses the general fuzzy Gaussian membership function that can approximate the form of triangular, trapezoid and Gaussian function , and its basic form is .The general fuzzy Gaussian membership function is to be generally used in the field of approximation .

模糊逼近是近年来发展比较迅速的一个新兴方向,论文首先给出了模糊理论中著名的基于高斯隶属函数、乘积推理模糊逻辑和重心解模糊法的模糊高斯型万能逼近定理,在此基础上本文进一步给出了可以用来逼近三角形、梯形和高斯形的广义高斯隶属度函数形式,它的基本形式是。

It is difficult to build an exact math model for the complexity of the combustion in the burning coal boiler and it is hard to perform control with traditional techniques. Aiming at all the above questions this paper designs a fuzzy - integrate controller with the fuzzy-logic control theroma, simulates the system with heat-load system and seriel fuzzy control and adopts self-searching optimum control over the transmiting wind circuit.

针对燃煤锅炉燃烧过程复杂,难用准确的数学模型来描述以及常规方法控制效果不理想等问题,在分析常规模糊控制器的基础上,结合模糊逻辑控制理论,设计了一个模糊积分控制器,并结合热负荷系统的串级模糊控制进行了仿真研究,同时在送风回路采用模糊自寻优控制。

Fuzzy logic rules are used in expert judgement for obtaining the fuzzy Petri net, on which basis a model is built for evaluation of weapon equipment. Then artificial neural network is introduced into the Petri net. Steepest Descent Method is used for training the parameters of fuzzy Petri net model. As a result, the model has great learning capability and high adaptability to complicated environment.

模糊逻辑规则应用到专家评判中得到模糊Petri网,建立基于模糊Petri网的武器装备效能评估模型,并在此基础上将人工神经网络引入到模糊Petri中,在模糊Petri模型上,用迭代最速下降法对模型的参数进行学习和训练,经过学习和训练的模型具有很强的学习能力以及对外界环境的自适应能力。

Optical logic devices, especially the multiple-valued, threshold and fuzzy logic devices which are more powerful than the binary logic gates, are key elements in the optical computing systems.

光学逻辑元件,特别是在功能上高于二进制布尔逻辑的多值逻辑、阈值逻辑和模糊逻辑元件是光计算系统中不可缺少的关键元件。

Introducing the idea of fuzzy logic, this paper advances Trust-authorization-based fuzzy access control model and exerts fuzzy synthetic judgment method to calculate subjects' trust worthiness, establishes fuzzy control rules, automatically authorizes subjects' relevant privilege by fuzzy adjudging, which can satisfy requirements of open information system access control.

文中引入模糊逻辑的思想,提出了基于信任授权的模糊访问控制模型,运用模糊综合评判法计算出主体在开放式信息系统中的信任度,并建立模糊控制规则,通过模糊判决自动授予主体相应的权限,使其能够更好的满足开放式信息系统中访问控制的要求。

As one of the important fuzzy logic algebraic systems, Residuated lattices have broad applications.

在解决模糊推理的逻辑基础问题中,模糊逻辑相应的代数系统是非经典逻辑的一个重要研究方向。

ABSTRACT Motived by the status of theoretical studies and the requirements of engineering applications in the fuzzy control system, the characters of fuzzy logic systems are analyzed, the mathematic model of a class of fuzzy logic system is built, especially the ways how to use the model to identify the nonlinear dynamic system and design the adaptive control system are researched deeply in this paper.

本论文根据模糊控制理论研究的发展现状、存在的主要问题以及工程实际应用的基本要求,分析了模糊逻辑系统的特性,建立起一类模糊逻辑系统的数学模型,并对其用于非线性动态系统辨识与自适应控制系统设计方法等方面进行了深入的研究,为解决某些传统方法难以解决的工程实际问题提供了新的思路。

Fuzzy control is applied to variable-frequency regulating speed of AC induction motor in this thesis, where one kind of fuzzy controller of speed is designed with Mamdani model. Then the slip frequency control system made up of fuzzy controller is simulated, the simulation results show that its performance is better than that of general PI controller.

论文将模糊控制技术应用于感应电机的变频调速,采用Mamdani模糊逻辑模型,设计了一种转速模糊控制器,并对基于模糊控制的感应电机转差频率控制系统进行了数字仿真,结果表明模糊控制的控制性能优于常规的PI调节器。

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