查询词典 fuzzy theory

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

The author uses I-fuzzy quasi-coincident neighborhood system to introduce the concepts of I-fuzzy first countability and I-fuzzy second countability, and proves the degree to second countability in each of I-fuzzy topological space must be less than that to first countability, and gives the equivalent characterations about the continuity of function by convergence of sequences in first countable I-fuzzy topological spaces.

作者利用方进明在[4]中提出的I-fuzzy重域系引入了I-fuzzy拓扑空间的第一可数性和第二可数性的概念，证明了一个I-fuzzy拓扑空间空间是第二可数的I-fuzzy拓扑空间的程度一定小于它是第一可数的I-fuzzy拓扑空间的程度，并且在第一可数的I-fuzzy拓扑空间中对映射的连续性进行了等价刻画。

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

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。

The dissertation will study some problems in stream ciphers. The main results that the author obtained are as follows:(1) The concept of fuzzy linear complexity is presented initially. The estimation problem of the fuzzy linear complexity of the random vector is studied, and a lot of upper bounds are given. The limit properties of fuzzy linear complexity of random vector are studied, and the limit theorem and the limit of variance of the fuzzy linear complexity of random vector are given.(2) The concept of fuzzy nonlinear complexity is presented initially.

本文在前人工作的基础上对序列密码中的一些问题进行了研究；所取得的主要研究成果综述如下：（1）首次提出了模糊线性复杂度的概念，对随机向量的模糊线性复杂度的均值进行了估计，给出了几个上界估计公式，并研究了随机向量模糊线性复杂度的极限性质，给出了随机向量模糊线性复杂度的极限定理及其方差的极限。

Moreover, the ultraproduct lattice implication algebras and the fuzzy ultraproduct of fuzzy subsets of lattice implication algebras are proposed by using the concept of ultrafilters, with the corresponding properties of fuzzy filters, fuzzy associative filters and fuzzy lattice implication subalgebras being discussed.

另外，文中借助于超滤概念提出了格蕴涵代数簇的超积及格蕴涵代数中模糊子集的模糊超积，并进而研究了模糊滤子、模糊关联滤子及模糊子格蕴涵代数的相应性质。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。