模糊群的模糊同态

引进模糊群的模糊同态概念，给出模糊同态下子模糊群(正规子模糊群)间的对应关系’建立模糊群的模糊同态基本定理，同时讨论模糊群的若干性质，得到一系列等价条件。     

模糊数序列的收敛性

探讨L-R型模糊数序列的S-和问题，定义关于模糊数的模糊小于的概念，在此基础上探讨模糊数的有序性，模糊数的截集函数的连续性，模糊数的格结构以及模糊数序列的收敛性等重要性质。     

群的模糊同态与模糊商群的同构定理

利用模糊映射，给出群的模糊同态的概念，并得到模糊同态基本定理，同时建立模糊商群的同构定理。     

基于结构元的模糊值函数的一般表示方法

文[1]提出了模糊结构元的概念，并给出了模糊数与模糊值函数的模糊结构元表示，以及一类由模糊结构元线性生成的模糊值函数的微分和积分(黎曼意义下的)的表达形式。本文在文[1]的基础上进一步给出了由模糊结构元生成的模糊值函数的一般表达形式，并得到了一般表达形式下的模糊值函数的连续性和微分、黎曼积分的定义，它们与传统模糊分析中相应定义是等价的。     

模糊仿射集与模糊向量子空间的再定义

利用模糊直线定义模糊仿射集，研究其有关性质。在此基础上，定义模糊向量子空间，证明一个模糊集为模糊仿射集的充要条件是该模糊集是一个模糊子空间的平移。     

完备格上模糊粗近似算子的代数结构

模糊粗集是粗集的模糊化。现有模糊粗集大多建立在t-范数、模糊（t-）相似关系以及对偶原理基础之上。本文将模糊知识（模糊数据）的属性值集[0，1]拓广到一般完备格，基于一般二元模糊关系、模糊合取算子以及模糊合取和模糊蕴涵间的“伴随”关系研究一类模糊粗近似算子。本文对一般模糊粗集的代数结构做了详尽的探讨，并研究了新的模糊粗集与经典粗集和模糊粗集之间的联系。结论表明：粗集的这种模糊化方法保持了Pawlak粗集的代数性质；所提出的模糊粗集是现有典型模糊粗集的一般化；而且，模糊粗近似的贴近度得以提高。     

求最优模糊等价矩阵的一个算法

本文说明了模糊等价矩阵的结构，然后提出求模糊相似矩阵的最优模糊等价矩阵的一个算法，最后指出最优模糊等价矩阵一定存在，但不唯一。     

基于模糊统计的公司违约预测

针对KMV违约预测模糊中固定违约点的缺陷，将违约点模糊化，以模糊事件表示违约，从而修改确定公司股权价值的期权公式，进一步得到违约概率预测，重点讨论计算违约模糊事件的基本思路，详细给出模糊统计方法，通过案例分析说明本文提出的模糊方法的可行性与长处。     

由KM-模糊伪度量诱导的模糊化粗糙集及其性质

本文首先介绍了由KM-模糊伪度量诱导的模糊等价关系。基于此模糊等价关系，然后，得到了由KM-模糊伪度量诱导的模糊化粗糙集，并研究了其性质。最后，详细探究了KM-模糊伪度量及其诱导的模糊化粗糙集之间的关系，丰富和完善了模糊粗糙集理论的研究内容。     

模糊商群的推广

引入关于一个子群的正规模糊子集概念，研究正规模糊子集的一些性质，并在此基础上将模糊商群做了自然推广，最后建立群同态下正规模糊子集的对应定理。     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

Instructions for Authors

<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.