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Fuzzy sequentially compact set in fuzzy normed space was defined and the relations between fuzzy sequentially compact set and fuzzy total bounded set were studied some properties of topolisical space were generalized to fuzzy topolisical linear space.

在模糊赋范空间中给出了列紧集的概念,并对于模糊列紧集与模糊全有界集之间的关系作了进一步的研究,使得与分明的情况基本上协调起来。

Based upon RMTong's thought of regarding fuzzy model as the set of fuzzy conditional proposition by converting the accurate value into a fuzzy one, the structure of a fuzzy system formed by alloy element adding amount and material characteristic norm is determined, and then the fuzzy model of the system is built.

根据RMTong把模糊模型看作是模糊条件命题的集合这一基本思想,通过精确量的模糊化,确定了合金元素加入量与材料性能指标组成的模糊系统的结构,建立了该系统的模糊模型,为研究合金加入量对材料性能的影响提供了一种普遍意义下的新方法

Some fundamental properties of fuzzy probability characteristic, such as the fuzzy mean value function, fuzzy covariance function and fuzzy variance function of fuzzy stochastic processes are proved.

3研究了实模糊随机变量的数学期望、方差等模糊概率特征的基本性质以及计算方法,并且讨论了实模糊随机变量的独立性与分析运算的若干基本性质

The reliability theory is combined with the fuzzy optimization technique, the theories and methods on the symmetrical fuzzy reliability optimization design, the asymmetric fuzzy reliability optimization design and the multi-objective fuzzy reliability optimization design are presented respectively, and then the correspondence direct model solutions, the iterative solutions, the corrected algorithm for iteration method, the level cuts solutions and the searching solutions with limited boundary for the asymmetric fuzzy reliability design are presented respectively.

将可靠性理论与模糊优化技术有机地结合起来,提出了结构对称模糊可靠性优化设计、非对称模糊可靠性优化设计和多目标模糊可靠性优化设计理论与方法,并分别给出了模型的直接解法、迭代解法、迭代求解的改进算法和非对称模糊可靠性优化设计模型的水平截集法和限界搜索法。

Then the design of PID fuzzy control system based on T-S fuzzy controller is proposed. 5. The parallel distributed compensation method is proposed to devise fuzzy controller based on the existed fuzzy state equation model and its stability theory for continuous and discrete system. The stability of fuzzy closed-loop system is investigated using LMI.

在现有的连续和离散系统的模糊状态方程模型及其稳定性定理的基础上,用"并行分散补偿"方法设计出模糊控制器,利用线性矩阵不等式法对模糊闭环系统的稳定性进行了分析,并且在线性矩阵不等式的基础上设计出了稳定的模糊控制器。

The fundamental sequence, fuzzy bases and its algorithm, fuzzy circuits and its algorithm are studied in this thesis are all important topics in the research fields of fuzzy matroids. They enrich the theory of fuzzy matroids and it is very useful for them to push the change of fuzzy matroid from basic research to application research.

本论文研究的模糊拟阵的基本序列、模糊基及算法、模糊圈及算法都是模糊拟阵的重要内容,丰富了模糊拟阵理论,对于推动模糊拟阵从基础研究逐渐向应用研究的转变起着重要作用。

We prove that in every induced locally compact 〓fuzzy topological groupthere exist at least one regular fuzzy set-valued Haar measure.We define the fuzzymeasurable group and prove that the fuzzy set-valued Haar measure in a fuzzymeasurable group is essentially unique.We also construct the fuzzy topologicalstructure on a group by the fuzzy set-valued measure such that make it a fuzzytopological group.

证明了诱导局部紧〓模糊拓扑群上存在模糊集值Haar测度,定义了模糊可测群,通过对模糊可测群的研究证明了诱导局部紧〓模糊拓扑群上的模糊集值Haar测度本质上的唯一性,并利用模糊可测群上的模糊集值测度构造了群上的模糊拓扑结构使之成为模糊拓扑群。

Firstly, the article expatiates the concept of fuzzy reliability and the relation between random and fuzzy. It presents a list of random-finite element formula that is suitable for the reliability analysis for mechanical rigid frame system. Secondly, it presents two arrangements' reliability analysis methods that fit for component and fabric system. Finally, according to the characteristic of engineering mechanical, the article first brings forward half random-half fuzzy"stress-intensity intermeddle model"for mechanical intensity analysis, and according to Gerber equation for weariness intensity calculation, the article presents fuzzy number's calculating principle and the fuzzy reliability analysis method for engineering structure weariness intensity.

首先阐述了模糊可靠性概念、随机性与模糊性的关系;在导出摄动随机有限元法随机变量的变分原理、随机有限元控制方程和递归方程组基础上,给出了适合于工程机械刚架系统可靠性分析的随机有限元列式;给出了构件和结构体系两个层次的可靠性分析方法;根据工程机械的特点,首次提出机械强度分析的半随机半模糊"应力-强度干涉模型",并依据疲劳强度计算的Gerber方程,给出了模糊强度的模糊数运算法则及工程结构疲劳强度模糊可靠性分析计算方法,该方法具有简便实用的特点和普遍意义。

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。

Programming to derive fuzzy optimal solutions and fuzzy optimal classification function seta fuzzy set which value is fuzzy optimal classification function and member degree is λ(0≤λ≤ 1,therefore the linear fuzzy support vector machine is constructe...

对于非线性模糊分类问题,引入核函数,类似于线性模糊分类问题得到非线性模糊支持向量分类机。最后构造显示模糊支持向量分类机特点的模糊支持向量集取值为模糊训练点,隶属度为λ(0≤λ≤1的模糊集合。模糊支持向量分类机较好地解决了支持向量机中含有模糊信息的分类问题。

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