模糊的

First, we present various new convergence concepts for sequence of fuzzy random variables, including convergence sure, convergence almost sure, uniform convergence, uniform convergence almost sure, almost uniform convergence, convergence in chance measure, and their corresponding weak convergence. Second, the relations among some types of convergence are studied. Finally, we design some algorithms about fuzzy random simulations to compute the mean chance of fuzzy random event, find the optimistic value of a return function, and evaluate the expected value of a fuzzy random variable.

首先，提出了几类模糊随机变量序列的收敛性概念，包括：必然收敛、几乎必然收敛、一致收敛、几乎必然一致收敛、近一致收敛、依机会测度收敛以及与以上概念相对应的弱收敛；其次，讨论了收敛性之间的关系；最后我们设计了模糊随机模拟算法，用于计算模糊随机事件的平均机会，寻找收益函数的乐观值，以及估计模糊随机变量的期望值。

First, we present various new convergence concepts for sequence of fuzzy random variables, including convergence sure, convergence almost sure, uniform convergence, uniform convergence almost sure, almost uniform convergence, convergence in chance measure, and their corresponding weak convergence.

首先，提出了几类模糊随机变量序列的收敛性概念，包括：必然收敛、几乎必然收敛、一致收敛、几乎必然一致收敛、近一致收敛、依机会测度收敛以及与以上概念相对应的弱收敛；其次，讨论了收敛性之间的关系；最后我们设计了模糊随机模拟算法，用于计算模糊随机事件的平均机会，寻找收益函数的乐观值，以及估计模糊随机变量的期望值。

In addition, the applications of the directional derivative and differential of the fuzzy mappings from 〓 to Ein convex fuzzy programming, the applications of the fixed point theorems of increasing fuzzymappings in fishery production and the applications of the integral over a directional linesegment of the fuzzy mappings are also studied.

另外，还给出了从〓到〓的模糊映射的方向可导性及可微性在凸模糊优化中的应用、增模糊映射的不动点定理在鱼业生产中的应用及模糊映射在有向线段上积分在获取统计数字方面的应用。

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。

Chain-grate bed temperature field is a large inertial, nonlinear and time delays controlled system.Its math model is not easy to figure out.Three Fuzzy-PID controllers are presented in this paper based on the dynamic character of fuzzy control and the static character of PID control.They are simulated via combining fuzzy logic toolbox with Simulink.The simulation result shows that they have better characters both in dynamic and static than general PID controller.At the same time, they have better robustness...

链篦机篦床温度场是大惯量、非线性、纯滞后的系统，其数学模型具有较大的不确定性；为实现其精确控制，结合模糊控制和PID控制各自在动态响应和稳态精度上的优势，提出了三种模糊PID控制器；利用Matlab的模糊工具箱和Simulink对三种控制器和常规PID控制进行了仿真比较；仿真结果表明，三种模糊PID控制器与常规PID控制相比具有良好的控制品质和较好的适应性。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H，讨论了模糊复数空间的拓扑结构，证明了的完备性，并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛，讨论了度量收敛与水平收敛之间的关系，在上证明了度量收敛与水平收敛的等价性定理。

When the cost coefficients are fuzzy, the total assignment cost will be fuzzy as well. The Yager's ranking method is utilized to transform the fuzzy cost coefficients into crisp value, then the firm's optimal policy can be determined via the classical Hungarian method.

当指派人员执行各项工作的成本系数为模糊数值时，厂商的总指派成本亦为模糊数值，本研究的构想乃在於利用Yager 的模糊数值排序法，先将成本系数的模糊数值转换为明确数值，之后再利用传统的匈牙利法进行求解。

Firstly,on the basis of the generalized fuzzy integral,which is defined by nonnegative measurable functions. Through introducing T-norm operator,we extend the integrand functions to the fuzzy valued function and give the definition of so-called T-fuzzy valued integral.

首先，在针对非负可测函数所定义的广义模糊积分的基础上，通过引入T—模算子，将被积函数推广到取值于模糊数的模糊值函数，给出了所谓的T—模糊值积分定义，获得了这种积分的一些基本性质。

Last but not the least, the stability problem of the fuzzy linearization system is discussed in part two.

本篇的另一重要工作是，利用模糊系统的特有性能，提出了非线性系统的模糊线性化概念，并给出了相应的模糊子系统辨识和控制器综合方法，分析了模糊线性化系统在两种不同情形下的稳定性。

The semi-low normal distribution membership function of fatigue limit is determined, and the anti-fatigue fuzzy reliability compute formula of rotor is deduced. The fuzzy reliability model of rotor anti-fatigue is set up. Taking an internal shaft of the rotor of aero electric generator for an example, its reliability design can be realized by adopting the anti-fatigue reliability design theory presented in the dissertation.

首次确定出了疲劳极限降半正态分布形式的隶属函数，推导出了转轴抗疲劳的模糊可靠度计算公式，建立了转轴抗疲劳的模糊可靠性模型；以航空发电机转子内轴为例，对其进行了抗疲劳的可靠性设计，并用本文建立的抗疲劳的模糊可靠度计算公式，对其进行了模糊可靠性校核。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。