模糊的

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。

Another carries out input fuzzy quantificat and grading quantificat in the same time, deduces using Takagi-Sugeno fuzzy algorithm, and introduces fuzzy algorithm into weight training of CMAC. It has the characteristics of less quantificat grade and high accuracy of function approximability. It shows good effectivity used for Wiener model identifying. By syncretizing MVL, linear neuron, fuzzy control and CMAC, this paper gives a kind of FCMAC nonlinear control system with the ability of self-learning in line.

将模糊控制和小脑模型神经网络有机的结合在一起，提出了两种模糊小脑模型神经网络，一种是在CMAC基础上进行输出模糊插值，可减小非样本点误差，提高精度和训练速度；一种是对输入进行分级量化的同时进行模糊量化，利用Takagi-Sugeno模糊算法进行推理，并将模糊算法引入CMAC的权值训练，具有输入量化级数少、函数逼近精度高等特点，用于Wiener模型辨识效果好。

This method was applied to the dimensionality reduction of multidimensional time series via projection pursuit technique for fuzzy clustering. According to the results of the classification and the extraction of fuzzy rules through best value projection, three types of fuzzy membership function were generated using trapezoid distribution method. Then the sample's credit level was determined according to the fuzzy approximability in computation.

该方法利用投影寻踪技术对多维时间序列数据进行降维处理并进行模糊分类；根据分类结果和最佳投影值提取模糊规则，采用梯形分布法生成三个模糊隶属函数；最后根据计算模糊贴近度确定样本的信用级别。

It is proved that the upper approximation of such fuzzy rough set in a fuzzy approximation space is just its image derived according to generalized extension principle and binary fuzzy similar relation.

通过对偶方式定义了模糊集的上、下近似算子，给出了模糊粗糙集在相应的模糊关系及模糊集的截集下的表示定理，证明了这种模糊粗糙集关于模糊近似空间的上近似恰为其在二元模糊相似关系下导出的广义扩张原理之下的像。

Moreover, a new fast learning method of fuzzy systems both are based on genetic algorithms and gradient descent method is proposed.

引 言最近几年来，诸如模糊推理、模糊建模、模糊逻辑控制器等模糊系统得到了广泛的研究和应用。

First, the model is set up based on the traditional method of defuzzifying. Then a fuzzy nonlinear pragramming inventory model with fuzzy constraints is established by considering the fuzzy demand as fuzzy constraints. According to the principle of maximal membership grade, the model is transformed into a deterministic nonlinear programming to find out the optimal solutions.

文章首先建立了基于传统逆模糊化方法的库存模型；然后，通过把模糊需求看成模糊约束条件，建立了一个带有模糊约束的模糊非线性规划模型，进而根据最大隶属原则，将模型转化为确定型非线性规划问题，寻求最优解。

In this thesis, we defined duality Fuzzy relation in a pointwise Fuzzy set by a set of duality Fuzzy point. Then we defined Fuzzy congruence and Fuzzy rough set in Fuzzy semigroups.

本文把二维模糊点作成的集合定义为一个点态化模糊集上的模糊二元关系，进一步定义模糊同余关系，并通过它又定义点态化模糊集上模糊粗糙子集，并研究了它们的一些性质。

A new knowledge acquirement way is presented based on the reliability data of product, then the fuzzy semantic net which consists of FEPM and fuzzy fault tree is regard as fault knowledge representation. The formalization of the fuzzy semantic net is described, and the relative concepts and relations are summarized. A stereo-knowledge representation which consisted of FFTF, rule and fuzzy neural network which make up of the shallow knowledge of the product is presented. The integrated fault diagnosis method based on the stereo-knowledge representation is suggested. The method is as follows. The fuzzy search inference is carried out on FFTF firstly. If the node being diagnosing can be decided if it failed or not in the fuzzy search inference, the rule inference to the node is carried out with the rules which being in symptom-fault way. An equivalent method, pattern recognization inference using fuzzy neural network, can fulfill the same work.

提出了以FFTF模糊语义网络为主、基于浅知识的产生式规则、模糊神经网络为辅的产品故障知识的立体知识表示方式，并提出了基于该多种知识表示的综合性故障诊断方法，即：首先对故障产品进行基于FFTF模糊语义网络的模糊搜索推理，如果在模糊搜索推理过程中不能确定当前诊断节点故障与否，则对当前诊断节点进行基于征兆-故障形式的验证式规则推理或者对包含该诊断节点的部件／子系统进行基于模糊神经网络的模式识别推理，如果在完成或者不再进行基于模糊语义网络的故障推理，仍然不能诊断出故障节点，则对基于模糊语义网络诊断过程中形成的故障诊断子图进行神经网络推理。

Around the finite solution problem of fuzzy differential equation, the fuzzy structure element method is put forward about the calculation of fuzzy analysis, and this method is applied to systematically study many problems such as formulation of fuzzy-valued function, difference of fuzzy-valued function, integration of fuzzy-valued function under the Riemann meaning, and the solution structure of fuzzy differential equation etc..

围绕模糊微分方程定解问题，提出了模糊分析计算的模糊结构元方法，并利用模糊结构元的方法对模糊值函数的表述问题、模糊值函数的微分、黎曼意义下的模糊值函数积分以及模糊微分方程的解的结构等问题，进行了深入系统的研究。

In accordance with the technological difficulties encountered in the process of insulation supervision based on the Dissolved Gases Analysis,several kinds of model and method are presented to improve the reliability and precision of fault diagnosis of the power transformer. Main research content includes:By deeply studying the common transformer faults diagnosing methods,such as three-ratio methods and improved electrical committee agreements,several shortcomings such as uncertainness judgment when the fault reasons,phenomenon and principles come out together while can not consistent to each other etc. For this reason,the old methods can not fully meet the need to engineering practical application.Considering fuzzy relationship matrix can fully represents the causality between fault symptoms and fault types,when diagnosing complex equipments with multiple symptoms and fault causes such as power transformer,a synthetic fuzzy diagnosing model is firstly proposed to diagnose transformers insulation faults based on DGA in this paper. Meanwhile,by further study the character of fuzzy factors,aimed at correcting the defects in classifying fuzzy sets of common fuzzy judgment,a method are put forward by unifying fuzzy synthetic diagnosis and fuzzy principle reasoning.

本文针对应用油中溶解气体分析方法进行变压器绝缘监督时所遇到的主要技术难点，提出了提高变压器故障诊断的准确性、可靠性的几种模诊断方法，主要研究内容有：通过对判断变压器故障常用的三比值法和改良电协研法的深入分析，其诊断准确率较高，但对故障原因、故障现象和故障机理间同时存在不确定性和模糊性的变压器等电气设备的故障诊断，难于满足工程应用的需要；在处理变压器等结构复杂设备的多症状、多原因故障诊断时，模糊关系矩阵可以全面反映这种症状与故障类型间的因果关系，进而提出了变压器故障诊断的模糊综合诊断模型；同时作者还深入分析了模糊算子的特性；针对常用的模糊评判结果的模糊集的集化方法的不足性，提出了将模糊综合诊断与模糊规则推理结合起来进行故障诊断的方法，能达到较好的效果。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。