模糊

Generally speaking, traditional Chinese poems are characterized by their suggestiveness, subtlety, implicitness and simplicity, which manifest a kind of fuzzy beauty.

模糊性是诗歌语言，尤其是中国古典诗歌语言的一种属性，其中的模糊表达方式集中体现了模糊美，同时对中国古典诗歌的赏析也体现了审美活动的模糊性。

In order to overcome the technological difficulties encountered in the course of insulation fault diagnosis on the base of dissolved gases analysis, several kinds of mathematic models and actualized methods are brought forward to improve the reliability and veracity of fault diagnosis of transformers. The research works are shown mainly as followings:1 A modified fuzzy multi-criteria method is brought forward for insulation fault diagnosis of transformer. Furthermore, a new method for insulation fault diagnosis is proposed on the base of fuzzy multi-criteria together with rule reasoning. With fuzzy diagnosis in the method, fault reasons are filtrated and then the reasons in low probability are prohibited, Moreover, the left reasons are testified by using rule reasoning and then final concludes are drawn in much less misjudge probability and better results.2 On the base of geometry characteristics of C- partition to sample set of DGA data of transformer, a method is put forward to compute effective radius of neighbor field of a sample, number of clusters and values of initial centers. Moreover, the fuzzy C- means cluster model with adaptive weight is brought forward in the first time and then the fault classifier is designed for insulation fault diagnosis of transformer.3 According to the weakness of the degree of gray of gray incidence, a new formula to compute DGI is put forward and then incidence order criterion is ascertained. Moreover, a new DGI model for fault diagnosis is proposed according to the further analysis to relationship between fault reason and content of oil dissolved gases of transformer.

为解决在应用油中溶解气体分析方法（Dissolved Gases Analysis，简称DGA）诊断变压器内部绝缘故障时所遇到的主要技术难题，论文提出了用于提高变压器故障诊断准确性和可靠性的数学模型及实现方法，主要研究工作如下：1）提出了一种改进的变压器绝缘故障诊断模糊综合评判方法；进一步提出了将模糊综合诊断与规则推理相结合进行绝缘故障诊断的方法，该方法采用模糊推理对故障原因进行"过滤"，滤掉可能性极小的原因，然后进一步利用规则推理验证剩下的可能原因，得出最终结论，大大减少了误判比率，获得了较好的效果。2）根据以变压器DGA数据为特征量的样本空间的c-划分几何特性出发，提出了一种求取样本有效邻域半径和聚类数及聚类中心初值的方法，在此基础上，首次提出了一种自适应加权的变压器绝缘故障诊断的模糊c-均值聚类模型，并设计出故障分类器。3）针对常用灰色关联度的不足，提出了一新的灰色关联度计算公式及确定关联序的准则；并在此基础上，通过深入分析变压器发生绝缘故障时的原因与油中溶解特征气体含量的关系，建立了一种新的故障诊断灰色关联模型；通过实例分析证明，该方法能有效地诊断出变压器绝缘故障及故障部位，大大提高了诊断的准确性。

Some fundamental properties of four arithmetic operations, intersection and union operation, supremum、infimum as well as superior limit, inferior limit and limit operation of bounded closed complex fuzzy numbers are studied.

为了描述这类动态模糊随机现象演化过程的规律性和有效地解决受模糊随机因素影响的振动工程问题，本文建立了严谨的模糊随机过程论和模糊随机振动理论。

Fuzzy inner product spaces are investigated by T-norm and T-conorm, and the inner product of fuzzy vectors is concerned.

在研究模糊向量空间、模糊凸集和模糊凸映射的基础上，我们研究了模糊规划的Lagrange对。。。

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。

Chapter 2 and Chapter 3 covered the topics about fuzzy set theory, fuzzy variable, linguistic variable and fuzzy logical inference.

第二、三章分析和讨论了与模糊控制有关的模糊集合论、模糊变量、语言变量及模糊逻辑推理等问题。

Based on the analysis of existed fuzzy integral theories, the notions of the Choquet upper and lower fuzzy integral and rough interval numbers' integral form were proposed; the rough properties of Choquet fuzzy integral and an information fusion method based on rough Choquet fuzzy integral were given.

在分析现有模糊积分理论的基础上，提出了Choquet上、下模糊积分的概念和粗糙区间数的积分形式，给出了Choquet模糊积分的粗糙特性，建立了基于粗糙Choquet模糊积分形式和信息融合方法。

Both of them have some merit and demerit respectively. The CPM approach presented in this chapter can overcome the shortcomings of the two approaches to some extent. CPM evolves fuzzy controllers in two layers: global and local layer.

本章发展了基于规则的模糊控制器的思想，指出基于规则的模糊控制器和传统的基于领域的模糊控制器在结构和对问题的表达方式上是截然不同的，基于规则的模糊控制器更适合用遗传算法来进行优化。

As to arithmetic operations of fuzzy numbers,the arithmetic rules of fuzzynumbers based on generalized t-norms are introduced,which extend greatlythe implication of the arithmetic rules of noninteractive fuzzy numbers andgeneralize the arithmetic rules of fuzzy numbers of Dubois-Prade.

在模糊数算术运算方面，给出基于广义t-模的模糊数算术运算规则，该规则极大地拓展了非相互作用模糊数算术运算的范围与含义，对Dubois-Prade意义下的模糊数算术运算是一个很好的推广。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。