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Applying LMI technique, quadratic stability theory, and H〓 control theory, three methods of robust stability analysis and robust controller design for uncertain fuzzy systems are proposed respectively. Among them, LMI based technique can analyze the uncertainties raised in the premises and in the consequent of fuzzy systems. The resulting stabilizing state feedback controllers have maximum stability margins for both kinds of uncertainties. Quadratic stability theory based approach can apply LMI technique and other methods to design fuzzy controllers. H〓 control theory based design can get H〓 controller with constant disturbance attenuation for each local subsystem. Using the given stability criterion of generalized systems, the robust stability of fuzzy systems can be checked.

其中,基于LMI的方法可分析由模糊系统的前件或后件引起的不确定性,得到的稳定的状态反馈控制器对这两类不确定性具有最大的稳定裕度;基于二次稳定理论的方法可应用LMI技术和其它方法设计模糊控制器;基于H〓控制理论的方法可得到各局部子系统具一定干扰抑制性能的鲁棒H〓控制器,而全局系统的鲁棒稳定性可应用所给出的稳定条件进行检验。

Some operational laws of interval-valued intuitionistic fuzzy numbers, score function and accuracy function of interval-valued intuitionistic fuzzy numbers are intriduced. Based on these operational laws, some aggregation operators, including interval-valued intuitionistic fuzzy ordered weighted arithmetic averaging operator and interval-valued intuitionistic fuzzy hybrid aggregation operator, are proposed.

论文摘要:对区间直觉模糊信息的集结算子进行了进一步研究,引入了区间直觉模糊数的一些运算法则、区间直觉模糊数的得分函数和精确函数,并基于这些运算法则,提出了一些新算子:区间直觉模糊数有序加权算术平均算子和区间直觉模糊数混合集结算子。

The proof is given that the category of linear fuzzy neighborhood spaces in the sense of Katsaras is isomorphic to that of co-towers of topological vector spaces and the intersection of the category of linear fuzzy neighborhood spaces with the category of type fuzzy topological vector spaces is the extract category of induced fuzzy topological vector spaces.

证明了Katsaras的线性fuzzy邻域空间范畴与分明线性拓扑空间的余塔空间范畴同构,而Katsaras的线性fuzzy邻域空间范畴与型fuzzy拓扑线性空间范畴的交集恰为诱导的fuzzy拓扑线性空间范畴。

Chapter three: Define fuzzy congruence relation of MTL-algebra, prove that fuzzy fiter and fuzzy congruence relation is a bijective function in MTL-algebra, quotient algebra induced by congruence relation still forms a MTL-algebra; Introduce the relation between some kinds of fiters and fuzzy filters maitained above in IMTL-algebra,i.e. BR_0 algebra, which is a MTL-algebra satisfied inversely odering and involutive relation.

第三章:定义了MTL-代数中的Fuzzy同余关系,证明了MTL-代数中Fuzzy滤子与Fuzzy同余关系是——对应的,由同余关系所诱导的商代数依然构成一个MTL-代数;介绍了在满足逆序对合对应的MTL-代数-IMTL-代数,即BR_0-代数中上述几中特殊滤子,Fuzzy滤子之间的关系。

In chapter 3, we study the relation between convergence in fuzzy measure of nonnegative fuzzy measurable functions and fuzzy mean convergence of fuzzy integrals.

研究了非负模糊可测函数列依测度收敛与广义模糊积分平均收敛之间的关系。

First, we present various new convergence concepts for sequence of fuzzy random variables, including convergence sure, convergence almost sure, uniform convergence, uniform convergence almost sure, almost uniform convergence, convergence in chance measure, and their corresponding weak convergence. Second, the relations among some types of convergence are studied. Finally, we design some algorithms about fuzzy random simulations to compute the mean chance of fuzzy random event, find the optimistic value of a return function, and evaluate the expected value of a fuzzy random variable.

首先,提出了几类模糊随机变量序列的收敛性概念,包括:必然收敛、几乎必然收敛、一致收敛、几乎必然一致收敛、近一致收敛、依机会测度收敛以及与以上概念相对应的弱收敛;其次,讨论了收敛性之间的关系;最后我们设计了模糊随机模拟算法,用于计算模糊随机事件的平均机会,寻找收益函数的乐观值,以及估计模糊随机变量的期望值。

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。

In this article, we first discuss the various algebraic properties of fuzzy sets, and then define a fuzzy digraph by the fuzzy set and the fuzzy relation of the set.

在本文中,我们首先讨论迷离集合的各种代数性质,然后我们利用一个集合的迷离集合与其迷离关系来定义迷离有向图形。

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

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他重申,人民解放军是在中国共产党领导下的人民军队。

After five years at the Laue-Langevin Institute in Grenoble, France, Jolie turned his focus to experimental work when, in 1992, he accepted a position at the University of Fribourg in Switzerland.

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