Practical Method for Determining All the Minimum Solutions of Fuzzy Matrix Equation and Transitive Closure of Fuzzy Relation

In this paper,the new theory frame and practical methhod for determining all the minimumsolutions of Fuzzy matrix equation and transitive closure of Fuzzy relation is described,and it has beencarried out on the miero-computer quickly and accurately.     

A New View on Fuzzy Hypermodules

We describe the relationship between the fuzzy sets and the algebraic hyperstructures. In fact, this paper is a continuation of the ideas presented by Davvaz in （Fuzzy Sets Syst., 117： 477- 484, 2001） and Bhakat and Das in （Fuzzy Sets Syst., 80： 359-368, 1996）. The concept of the quasicoincidence of a fuzzy interval value with an interval-valued fuzzy set is introduced and this is a natural generalization of the quasi-coincidence of a fuzzy point in fuzzy sets. By using this new idea, the concept of interval-valued （α,β）-fuzzy sub-hypermodules of a hypermodule is defined. This newly defined interval-valued （α,β）-fuzzy sub-hypermodule is a We shall study such fuzzy sub-hypermodules and sub-hypermodules of a hypermodule. generalization of the usual fuzzy sub-hypermodule. consider the implication-based interval-valued fuzzy     

本刊英文版Vol．22(2006),No．4论文摘要

<正>Interval Valued Intuitionistic (S, T)-fuzzy Hv-submodules Jian Ming ZHAN W. A. DUDEK Abstract On the basis of the concept of the interval valued intuitionistic fuzzy sets introduced by K. Atanassov, the notion of interval valued intuitionistic fuzzy Hv-submodules of an     

本刊英文版Vol．23(2007),No．6论文摘要

<正>Uniqueness of PL Minimal Surfaces Yi NI Abstract Using a standard fact in hyperbolic geometry,we give a simple proof of the uniqueness of PL minimal surfaces,thus filling in a gap in the original proof of Jaco and Ru- binstein.Moreover,in order to clarify some ambiguity,we sharpen the definition of PL minimal surfaces,and prove a technical lemma on the Plateau problem in the hyperbolic space.     

本刊英文版Vol．23(2007),No．1论文摘要(英文)

<正>On the Predator-Prey System with Holling-(n+1)Functional Response Wei WANG Jian Hua SUN The qualitative properties of a predatorprey system with Holling-(n+1)func- tional response and a fairly general growth rate are completely investigated.The necessary and sufficient condition to guarantee the uniqueness of limit cycles is given.Our work extends the previous relevant results in the reference.     

Fuzzy度量的点式刻划及其应用

本文对[1]中引入的Fuzzy P.度量给出了一个颇具直观的点式刻划.利用这个刻划,给出了关于Fuzzy度量的可数乘性的一个构造性证明;并且Fuzzy P.度量空间中的网收敛可用此点式度量直观地表出.     

数学学报英文版Vol．22(2006),No．2论文摘要(英文)

<正>Stable Stationary Harmonic Maps to Spheres Fang Hua LIN Chang You WANG Abstract For k≥3, we establish new estimate on Hausdorff dimensions of the singular set of stable-stationary harmonic maps to the sphere Sk. We show that the singular set of stable-stationary harmonic maps from B5 to S3 is the union of finitely many isolated singular points and finitely many Holder continuous curves. We also discuss the minimization problem among continuous maps from Bn to S2.     

本刊英文版Vol．22(2006),No．1论文摘要

<正>In this paper, we consider the generalized variational inequality GVI(F,g, C), where F and g are mappings from a Hilbert space into itself and C is the fixed point set of a nonexpansive mapping. We propose two iterative algorithms to find approximate solutions of the GVI(F, g,C). Strong convergence results are established and applications to constrained generalized pseudo-inverse are included.     

Fuzzy拓扑空间中的仿紧性与紧性

<正> 本文中,以q记相重关系,以Q(A)记Fuzzy集A的重域系,以X记特征函数.其他未经定义的概念均取自[2—5]。简记Fuzzy拓扑空间为fts.在不致混淆时,常径称Fuzzy集,Fuzzy点为集和点,对分明集与其特征函数不加区别.恒以(X,)表-fts. 定义1 设,为(X,)中集族.称为的加细,若A∈,B∈     

在算子Fuzzy逻辑中带有相等关系的Fuzzy推理

本文提出了处理带有相等谓词的子句集的λ-Paramodulation方法.使得在Fuzzy推理过程中可以做Fuzzy等量替换.本文证明了:λ-Paramodulation与λ-锁语义归结方法相结合是完备的.     

数学学报英文版Vol．23(2007)，No．9论文摘要

<正>Parametrized Area Integrals on Hardy Spaces and Weak Hardy Spaces Yong DING Shan Zhen LU Qing Ying XUE In this paper,the authors prove that ifΩsatisfies a class of thc integral Dini condition,then the parametrized area integralμ_(Ω,S)~ρis a bounded operator from the Hardy space H~1(R~n)to L~1(R~n)and from the weak Hardy space H~(1,∞)(R~n)to L~(1,∞)(R~n),respectively.As corollaries of the above results,it is shown thatμ_(Ω,S)~ρis also an operator of weak type(1,1)and of type(p,p)for 1相似文献   

Fuzzy蕴涵代数的关联MP滤子和交换MP滤子

在Fuzzy蕴涵代数中对关联MP滤子和交换MP滤子的性质及应用作进一步研究.获得了关联MP滤子的若干新的等价刻画;利用交换MP滤子的性质给出了Fuzzy蕴涵代数成为可交换Fuzzy蕴涵代数的若干充要条件.     

Fuzzy Entropy： Axiomatic Definition and Neural Networks Model

The measure of uncertainty is adopted as a measure of information. The measures of fuzziness are known as fuzzy information measures. The measure of a quantity of fuzzy information gained from a fuzzy set or fuzzy system is known as fuzzy entropy. Fuzzy entropy has been focused and studied by many researchers in various fields. In this paper, firstly, the axiomatic definition of fuzzy entropy is discussed. Then, neural networks model of fuzzy entropy is proposed, based on the computing capability of neural networks. In the end, two examples are discussed to show the efficiency of the model.     

Fuzzy概率空间的Fuzzy格刻划

本文研究了Fuzzy概率空间中Fuzzy事件及概率的代数性质.利用Fuzzy概率空间中的概率为集函数这一特征和Fuzzy格的相关理论，得到了Fuzzy概率空间中的概率是从一个Fuzzy格到某个区间的Fuzzy格模同态，并将概率分解成Fuzzy格同态与Fuzzy格模同态的乘积。     

本刊英文版Vol．23(2007)，No．12论文摘要(英文)

<正>Classification of Flat Lagrangian Surfaces in Complex Lorentzian Plane Bang-Yen CHEN Johan FASTENAKELS One of the most fundamental problems in the study of Lagrangian submanifolds from Riemannian geometric point of view is to classify Lagrangian immersions of real space forms into complex space forms.The main purpose of this paper is thus to classify fiat Lagrangian surfaces in the Lorentzian complex plane C_1~2.Our main result states that there are thirty-eight families of fiat Lagrangian surfaces in C_1~2.Conversely,every fiat Lagrangian surface in C_1~2 is locally congruent to one of the thirty-eight families.     

本刊英文版Vol．22(2006)，No．5论文摘要(英文)

<正>Approximate Augmented Lagrangian Functions and Nonlinear Semidefinite Programs X.X.HUANG K.L.TEO X.Q.YANG Abstract In this paper,an approximate augmented Lagrangian function for nonlinear semidefinite programs is introduced.Some basic properties of the approximate augmented La- grange function such as monotonicity and convexity are discussed.Necessary and sufficient conditions for approximate strong duality results are derived.Conditions for an approximate ex- act penalty representation in the framework of augmented Lagrangian are given.Under certain conditions,it is shown that any limit point of a sequence of stationary points of approximate augmented Lagrangian problems is a KKT point of the original semidefinite program and that a sequence of optimal solutions to augmented Lagrangian problems converges to a solution of the original semidefinite program.     

本刊英文版Vol．23(2007),No．2论文摘要(英文)

<正>The Existence of Maximal w~*-closed Submodules in Nest Algebra Modules Zhe DONG Using the technique of annihilators,we characterize the w~*-closure of the finite- partition submodule ■(N,～)of a weakly closed nest algebra module ■ completely;and by virtue of this characterization,we obtain a sufficient and necessary condition for ■ to have a maximal w~*-closed submodule.     

点态化的模糊幂群

文献[1]提出了点态化Fuzzy集的概念,本文利用文献[1]中定义的Fuzzy点来研究Fuzzy幂群的性质和结构.得到了一些有关Fuzzy幂群的新结果.     

Fuzzy值可测函数及其构造

本文的目的是引入Fuzzy值可测函数的一般概念并着重讨论它的构造。为此,首先给出Fuzzy数度量空间的一些主要性质;然后建立Fuzzy数可测空间并提出Fuzzy值可测函数的一般定义;最后讨论Fuzzy值可测函数的九种等价构造。     

Fuzzy(模糊)数学导论

本书深入浅出、系统地介绍了 Fuzzy 数学的基本理论和方法以及在各个领域中的应用。全书十七章,内容如下:(1)预备知识;(2)Fuzzy 集;(3)Fuzzy 原理,(4)Fuzzy 贴近度与模式识别,(5)Fuzzy 矩阵;(6)Fuzzy 图;(7)Fuzzy 聚类分析;(8)Fuzzy 综合评判与关系方程;(9)Fuzzy 语言与 Fuzzy 文