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Firstly, we analyze the deficiencies ofexisting ones, extend domains of fuzzy logical operators from the cap product withtwo sets to them with arbitrary (finite, enumerable, or non-enumerable) number ofsets to form two general mappings so as to conform them to the fuzzy conjunctionand infimum, and to fuzzy disjunction and supremum, respectively, and fuzzify theset inclusion of fuzzy sets. Similar to the classical adjunction, the concept of fuzzyadjunction is introduced.

首先分析了原有"模糊形态学"框架的缺陷，进而将模糊合取和模糊析取算子的定义域从两个集合的笛卡儿乘积推广到任意多个集合的笛卡儿乘积，形成两个一般的映射，使得模糊合取与下确界、模糊析取与上确界保持一致，以此将模糊集的包含关系一般化。

The theory significance of conditional rough entropy in decision information system is discussed. The conditional rough entropy measures the partial uncertainty in decision information systems.

讨论了集合的条件熵在目标信息系统中的理论意义，集合的条件熵刻画了目标信息系统的局部的不确定性。

Based on the flaw of the probability reliability model in the case of small amount of information,non-probability and mixed probability/non-probability reliability models are presented. When the uncertainty of the basic random variable is described by convex, analytical and numerical methods are constructed to calculate the convex of response variable. The infinite norm index, which is the minimal infinite norm distance from original coordinate point to the surface of the limit state in the standard interval space, is presented to measure the safety of the structure.

针对概率可靠性模型在小子样信息下的缺陷，建立了非概率可靠性模型及概率—非概率混合可靠性模型；给出了用集合来描述变量不确定性时，极限状态变量变化集合的解析解和数值迭代解法；提出了物理概念明确且十分易于工程应用的度量结构、机构安全程度的无穷范数指标，它是标准区间空间中坐标原点到极限状态表面的最小无穷范数距离。

Firstly, we recall some notions and results about space theory, including Hausdorff space, Hausdorff distance between sets , Baires category about sets and convex set. Secondly, the semi-continuity, closure, compactness of set-valued maps are introduced in set-valued analysis. Finally, essential point, essential set and essential component are introduced.

其中，空间理论及凸集的基本知识介绍了Hausdorff空间、集合间的Hausdorff距离、集合的Baire分类、以及凸集等四个方面；集值分析部分主要介绍单值映射的半连续性以及集值映射的半连续性、闭性和紧性；本质点、本质集和本质连通区部分主要介绍了本质点、本质集和本质连通区等有关概念和性质。

Zadeh introduced fuzzy sets in 1965, a lot of new theories treating imprecision and uncertainty have been introduced.

Zadeh于1965年提出模糊集合的概念以来，大量的处理不确定性的理论陆续被提了出来，其中多数是对Zadeh的模糊集合理论的推广。

And a way to find the elements ofthat are conjugate to is proposed. Then we prove that the quotient group is isomorphic to, the symmetric group of order , and is a semidirect product group of with the classical binary simplex code in the linear case. Finally, we generalize a result due to Calderbank et al..

本文刻画了商群与集合的关系，给出了一个确定集合中那些与共轭的元素的方法，还证明了在线性情形下，商群与阶对称群是同构的，而且是与经典单形码的一个半直积，并且推关广了Calderbank等人的一个结果。

The property of its randomization has great potential for distributed network systems, and it supports the membership query with a small false positive rate, which is the probability that an element was not in the data set but Bloom filter reported it is.

它的随机特性具有相当大潜力被应用在分散式网路系统，并且支援系统内的会员资格询问加上较低的错误判正率。布隆过滤器的错误判正率是一种事件发生机率，代表一个不属於资料集合的元素被布隆过滤器判定为属於资料集合内。

Establishing 6 fuzzy sets such as cells with increscent karyon, cells with deeply dyed karyon, cells whose area rates of the karyon and cytoplasm are excessive and so on and 6 membership functions.The paper partitions the sample space furtherly into 4 nomarl pattern, and realizes the recognition of the cancer cells in pleural fluid.

建立了诸如细胞核增大的细胞、细胞核深染的细胞、细胞核不圆的细胞等6个模糊集合和与之相应的6个隶属函数，并根据模糊集合的运算法则将胸水细胞样本空间进一步划分为4个标准模式，实现了胸水癌细胞的识别。

When inspects the connection degree between the objective project and the ideal point or negative ideal point is inspected, the existence of an opposit set is fully considered. By introducing the connection vector distance, the relative similarity scale is calculated, which to some degree improves the the traditional TOPSIS method.

该方法将理想点与负理想点视为确定不确定系统中相互对立的集合，在考察目标方案与理想点或负理想点的联系度时，充分考虑了对立集合的存在；并通过引入联系向量距离的概念，计算相对贴近度，从而在一定程度上克服了传统TOPSIS法的不足。

The method provides theoretic basis for divergence of agent levels,then translates operational goals set into HRAFSM,at last simulatively executes operational goals set according to simulation executing HRAFSM.

该方法为代理的层次划分提供了理论支持，并将操作目标集合转换成了基于规则的层次式有穷状态自动机，通过对基于规则的层次式有穷状态自动机的模拟执行，达到了对操作目标集合的模拟执行。

He and Nina moved to California and lived at 2005 Ivar Street, Apt.

他和Nina搬到加州，并在2005年伊瓦尔街，公寓生活。

Droperidol （ potently inhibits transfected HERGchannels and this is the probable mechanism for QT prolongation.

氟哌利多有效地抑制了转染的 HERG 钾通道，可能是 QT 间期延长的机制。