查询词典 fuzzy set

Based Fuzzy Sets Deadline Set, Fuzzy Sets decomposition theorem to establish Fuzzy Fuzzy Sets distance.

本文从模糊集的截集出发，应用模糊集的分解定理来建立模糊集的模糊距离。

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。

Fuzzy set;; Fuzzy number;; Fuzzy linear programming with elastic constrains;; Linear programming with coefficients;; Centroid point of fuzzy number;; Dual problem

论文导师刘琼荪，论文学位硕士，论文专业应用数学论文单位重庆大学，点击次数 29，论文页数 59页File Size553K

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。

Fuzzy Choquet integral is defined for the given nonnegative measurable function on the general fuzzy measurable space. The fuzzy integral is wholly regarded as a set function on the general fuzzy measurable space. And its some elementary properties and convergence are discussed.

在一般模糊测度空间上，针对给定的非负可测函数定义了λ-模糊Choquet积分，并将这种模糊积分整体看作一般模糊测度空间上的集函数，进而讨论了这种模糊积分的一些基本性质和收敛性。

The fuzzy controller is designed through introducing auto -tunning and fuzzy set, combining fuzzy control rule for time delay system and general rule for two - dimension fuzzy control.

采用模糊自调整控制方案整定PID参数，同时结合针对时滞系统的模糊控制规则和一般二维模糊控制器的通用规则，设计模糊控制器，充分利用模糊控制、内模控制、PID控制的优点。

For an abitrary set X, appropriate order relations on WCL (the set of all weak closure operators), WIN (the set of all weak interior operators), WOU (the set of all weak exterior operators), WB (the set of all weak boundary operators), WD (the set of all weak derived operators), WD*(the set of all weak difference derived operators), WR (the set of all weak remote neighborhood system operators) and WN (the set of all weak neighborhood system operators) can be defined respectively, which make WCL, WIN, WOU, WB, WD, WD*, WR and WN to be complete lattices that are ismorphic to CS(X,CS is the set of all closure systems on X.

证明了可以在WCL(X上的弱闭包算子的全体)、 WIN(X上的弱内部算子的全体)、 WOU (X上的弱外部算子的全体)、 WB (X上的弱边界算子的全体)、WD、 WD*(X上的弱差导算子的全体)、 WR(X上的弱远域系算子的全体)和WN(X上的弱邻域系算子的全体)上定义适当的序关系，使它们成为与CS(X，〖JX-*5[JX*5]同构的完备格其中CS(X是给定集合X上的闭包系统的全体。

A new concept of r-fuzzy nested set is presented and it is pointed a fuzzy probabilistic set is an equivalent class of a r-fuzzy nested set.

给出了一个新的概念γ-模糊集合套，指出模糊概率集可看作是γ-模糊集合套的等价类。

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。

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。

You'll be in trouble it you don't watch out .

如果你不注意，你会有麻烦的。

Shaped like a biconvex lens.Of, relating to, or having the form of a hyperbola.

双曲线的属于双曲线的，与之有关的，或有双曲线形状的