模糊地

Based on the equivalent transformation from fuzzy possibility distribution to random probability density distribution, the fuzzy random failure probability calculation can be formulated easily, and a First Order and Second Moment method for fuzzy - random analysis is established.

提出了模糊随机可靠性分析的近似解析和数字模拟综合方法，基于模糊变量的等价随机化变换，可以方便地得到模糊随机失效概率的计算公式，并建立了模糊随机可靠性分析的一次二阶矩法。

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。

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。

Secondly, in the research of fuzzy clustering methods, we gave out several useful formulae and an improved fuzzy transitive closure method according to the degrees of influence of various pyrolysis parameters. We also brought up a modified FCM algorithm according to the different functions of the samples.

其次，在对基于模糊聚类的识别方法研究中，根据各种热解参数在油气层预测中的影响程度，给出了构造模糊相似矩阵的几个有用的公式，以及改进的模糊聚类传递闭包法；根据每个样本点对分类的不同作用，提出了一种改进的模糊C均值算法；试验结果表明，这两种方法都可以有效地提高分类精度。

of transitive closure based on equivalence relation, method of maximum fuzzy spanning tree based on fuzzy graph, and algorithm Fuzzy C-Means based on partition are more deeply investigated. Respectively, this thesis proposes an algorithm for document fuzzy clustering based on methed of transitive closure and an algorithm for document fuzzy clustering based on methed of maximum fuzzy spanning tree. Moreover, FCM is particularly studied from data standardization method, metrics method, and selection method of initial clustering prototype.

较深入地讨论了基于等价关系的传递闭包法、基于模糊图论的最大树法以及基于划分的模糊C-均值算法，分别提出了基于传递闭包法的文本模糊聚类方法ATCFC和基于最大树法的文本模糊聚类方法ATCMT；重点从改变规格化方式、改变度量方式、改变初始聚类原型选择方式三方面对FCM算法进行研究。

In the second chapter several new concepts of elasto-plastic fuzzy stiffness and element are proposed. The fuzzy element matrixes corresponding to the elasto-plastic fuzzy element are also established. In order to use the bilinear and trilinear restoring force modles on analysis seismic responses of structures. A fuzzy mathematical method for dealing with the critical points of the restoring force curve is proposed too.

第二章针对结构在地震弹塑性分析中的刚度模糊性，提出了模糊刚度的概念，并进一步对平面和杆系的弹塑性问题提出了弹塑性模糊单元的概念，建立了相应的模糊单元刚度矩阵；为了利用现有的折线恢复力模型，并且更好地反映结构刚度的过渡性，还给出了用模糊数学处理折线恢复力模型刚度折点的方法。

In order to become more practical for design of four-link the weft beat-up mecchanism, this paper presents a new the fuzzy optimization method based on considering the fuzzy randomicity of design parameters. By use of double objective optimization method, that is, for maximal accelerate of sley sword minimizing and coefficient of speed rate of sley sword traveling maximizing, mathematics model of the fuzzy optimization design of the four-link weft beat-up mechanism is set up. Calculation and analysis of pra...

设计更好地符合客观实际的四连杆打纬机构，在充分考虑各设计参数的模糊性的基础上，根据模糊方法学的基本理论提出一种模糊优化设计方法，采用使筘座的最大加速度最小，同时使筘座的行程速比系数最大的多目标优化方法，建立了该问题的模糊优化设计的数学模型，并对实例进行了计算与分析，获得最优的综合性能。

By use of double objective optimization method, that is, for maximal accelerate of sley sword minimizing and coefficient of speed rate of sley sword traveling maximizing, mathematics model of the fuzzy optimization design of the four-link weft beat-up mechanism is set up.

设计更好地符合客观实际的四连杆打纬机构，在充分考虑各设计参数的模糊性的基础上，根据模糊方法学的基本理论提出一种模糊优化设计方法，采用使筘座的最大加速度最小，同时使筘座的行程速比系数最大的多目标优化方法，建立了该问题的模糊优化设计的数学模型，并对实例进行了计算与分析，获得最优的综合性能。

Three kinds of arm's robust control theorys are designed: the torque control based on FNN controller, the computed torque control with sliding mode compensation and the computed torque control with WNN compensation. FNN syncretizes the reasoning ability of fuzzy control and parameters' self-learning ability of neural networks. It does not depend on the precision of the mathematical model, and can overcome the impact of the uncertainty effectively. So FNN is regarded as the manipulator controller and used to the trajectory tracking of arm control. The computed torque control with sliding mode compensation is designed.

在此基础上，研究了机械手臂的鲁棒控制法，分别设计了基于模糊神经网络的机械手臂力矩控制方法、基于滑模变结构控制补偿的机械手臂力矩控制方法以及基于小波神经网络补偿的机械手臂力矩控制方法，具体内容如下：模糊神经网络融合了模糊控制的推理能力和神经网络的参数自学习能力，它不依赖于对象精确的数学模型，能有效地克服被控对象存在的不确定部分的影响，本文把模糊神经网络作为机械手臂的关节伺服控制器，通过对网络参数的学习训练来调整机械手臂关节的控制力矩，实现对机械手臂的轨迹跟踪控制。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。