模糊性

Based on the research of fuzzy valued functions, the absolute uniform convergence for the series of fuzzy valued functions is discussed, by using concept of the metric and absolute valued of fuzzy numbers.

基于模糊值函数的研究，利用模糊数的度量以及模糊数的绝对值概念，讨论了模糊值函数级数绝对一致收敛性，给出了模糊值函数级数绝对一致收敛性的一个充要条件和几个推论。

The definition of the absolute value for a fuzzy number is obtained.Furthermore,a lot ofproblems,such as absolute integrability,bounded variation and absolute continuity,arepresented and discussed.The representation theorem of the absolute values of fuzzy num-bers is established.It plays an important role in discussing the problems conceming theabsolute value.The relation between the absolute integrability and integrabili-ty is discussed,and the following result is obtained:aintegrable fuzzy-number-valued function is absolutely integrable iff it is integrable.The relation between theabsolute integrability and the absolute continuity of the primitive for fuzzy-number-valuedfunctions is dealt with.It is also pointed out that a fuzzy number valued function is ab-solutelyintegrable if and only if its integral primitive is fuzzy absolutely continuous.

提出了模糊数绝对值的概念并讨论了与绝对值相关的一系列问题，如绝对可积性、有界变差性、绝对连续性等，给出了模糊数绝对值的定义以及表示定理，该表示定理在涉及绝对值问题的讨论中起非常重要的作用；讨论了绝对可积与可积之间的关系，得到了结论：可积的模糊数值函数绝对可积的充要条件是该模糊数值函数可积；给出了模糊数值函数绝对可积与其积分原函数绝对连续性之间的关系，指出模糊数值函数绝对可积的充要条件是其原函数模糊绝对连续。

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。

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。

The requirements of efficiency and global-optimization can be met at the same time. Based on the situation of time varying of parameters of system, before entering the inference machine, the fuzzy control rules is learned and tested online by a special designed "judger", the excellent performances of fuzzy control rules which use online control is ensured. Fuzzy cerebellum model articulation control CMAC is used to control the semi-active suspension system for the first time. The convergence of this control algorithm and the convergent range is presented.

并根据实际系统参数时变的特点，用"判别器"对即将进入推理机的模糊规则进行了在线学习和测试，保证了用于实时控制的模糊规则的优良；首次应用模糊小脑模型神经网络控制器对系统实施了控制，并证明了这种控制算法的收敛性，得出了收敛范围；仿真和试验结果表明，GASAF和 FCMAC这两种智能控制算法对车辆的平顺性都有较大的改善，实时性较强。

In either case of g ∈ C^2 or gC^2, this paper proposes a convenient method for building a T-S fuzzy system and gives a loose sufficient condition of its approximation ability, when the fuzzy sets are uniformly distributed, continuous and normalized.

本文在逼近函数g∈C^2及gC^2两种情况下给出了一种当模糊集满足均匀性、连续性、正规性条件下T-S模糊系统的构造方法以及该T-S模糊系统逼近能力的充分条件。该构造性方法简单易行且其逼近能力充分条件的保守性低。

By using of dynamic fuzzy group method, the top coal cavability was evaluated according to the following seven factors, such as coal seam strength, mining depth, crack developing extent's features, dirt band height, filling situation of goaf, classification of main roof and the ratio of mining and caving height etc.

运用动态模糊聚类方法，以煤层强度、赋存深度、节理裂隙发育程度、夹矸厚度、采空区充满程度、老顶级别、采放比等7个因素按模糊最大隶属度原则综合评价顶煤冒放性。建立了模糊聚分析方法的数学模型，以上述7个指标为基础，对顶煤冒放性的模糊聚类分析进行运算，给出分类的实施过程。潞安矿区顶煤冒放性分类结果表明， 5对主要生产矿井主采3号煤层，其顶煤冒放性皆为好和较好，经潞安矿区综放开采实践证实，分类合理

And the ambiguity is one of the Salient characteristics of Hawthorne's art.

这种多重含义和象征意义的模糊性正是霍桑小说的艺术所在。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。