改进的灰色相似关联度模型在水质评价中的应用

基于灰色系统理论,提出一种改进的灰色相似关联度模型.通过计算评价对象的单因素隶属度矩阵,得到与各标准水质级别在不同评价指标处的灰色相似关联系数,最后根据灰色相似关联系数得到对各标准水质级别的综合隶属度.将此方法应用于延河流域的八个监测断面进行水质综合评价,取得了较好的结果.在此基础上进一步分析和改进了最大隶属度原则,在考虑最大隶属度的同时,综合考虑评价对象对各标准水质级别隶属度的分布,并制定了调整规则.     

基于模糊评价方法对煤炭质量分级评价研究

利用模糊神经网络建立煤炭评价模型,模型输出值作为中间结果,结合隶属度函数,最终确定煤炭质量级别.依据煤炭国标和行业标准,生成样本集,然后对样本集预处理,建立煤质评价模型,并以新疆某煤矿不同煤层深度的煤样为验证对象进行煤质评价.结果表明,评价模型的输出结果符合煤炭实际使用的情况.评价模型克服人为主观判断因素的不足,为目前存在的定性评价转为定量评价提供理论参考价值.     

基于模糊熵的加权可变模糊评价方法及其应用

可变模糊评价的实质是多模型组合评价.在分析了可变模糊评价法的基础上,针对方法存在的不足,提出了一种考虑模型权重的可变模糊评价方法.方法首先利用可变模糊评价模型对样本进行计算,得到各样本在不同模型下的综合相对隶属度;然后基于得到的综合相对隶属度数据,利用模糊熵确定四种模型的重要性排序,结合二元比较模糊决策分析法求得四种模型的权重,进而得到最终综合级别特征值,并以此作为评价依据;最后,以煤与瓦斯突出危险性评价为例进行了方法的验证.结果表明:改进方法可行、有效,评价结果更符合客观实际.     

基于模糊熵的加权可变模糊评价方法及其应用北大核心

可变模糊评价的实质是多模型组合评价.在分析了可变模糊评价法的基础上,针对方法存在的不足,提出了一种考虑模型权重的可变模糊评价方法.方法首先利用可变模糊评价模型对样本进行计算,得到各样本在不同模型下的综合相对隶属度;然后基于得到的综合相对隶属度数据,利用模糊熵确定四种模型的重要性排序,结合二元比较模糊决策分析法求得四种模型的权重,进而得到最终综合级别特征值,并以此作为评价依据;最后,以煤与瓦斯突出危险性评价为例进行了方法的验证.结果表明:改进方法可行、有效,评价结果更符合客观实际.     

水电工程应急能力模糊可变评估方法研究

针对水电工程应急能力评估的问题,综合运用可变模糊集理论,提出水电工程应急能力模糊可变评价方法.首先,通过分析水电工程应急能力构成要素,构建应急培训、应急预案与演练、危险源辨识与排查、应急保障体系、监测预警、现场处置等六类评价指标;其次,通过定义应急能力等级评价的模糊可变问题,分别计算样本指标对标准区间的级别相对隶属度和综合相对隶属度,构建应急能力模糊可变评价模型;然后,采用可变模糊迭代方法确定客观权向量,融合决策者的经验和主观偏好,调整评价权重.最后,以溪洛渡工程为例,表明方法综合使用主客观权重,提高了评价的可靠性与科学性.     

可变模糊集理论在江西省水资源承载力评价中的应用

结合江西省2009年自然、社会和经济以及水资源资料,选取降水量、灌溉率、水资源开发利用程度、生活用水定额、人均供水量、万元GDP用水量、生态环境用水率、缺水率作为评价指标,应用可变模糊评价模型对江西省11个市的水资源承载力进行了评价研究.能够科学、合理地确定样本指标对各级指标标准区间的相对隶属度、相对隶属函数,并且能够通过变化模型及其参数,合理地确定出样本的评价等级,提高对样本等级评价的可信度.最后与模糊识别理论计算出的结果进行比较,评价等级基本保持一致.研究结果表明,江西省整体水资源承载力等级为1~2级,水资源开发利用已具有一定规模,部分区域水资源开发潜力较大.     

隶属度“非平均偏差法”在路网规划决策中的应用

将最小隶属度偏差法与层次分析法结合起来,提出了考虑指标权重的路网规划方案评价方法.给出了较具体的指标体系,并将无量纲化和隶属度求法进行了改进.最后,用一个算例对提出方法进行了验证.     

应用模糊支持向量机进行英文情感分类

针对英文情感分类问题,对不同样本采用不同权重,通过引入模糊隶属度函数,通过计算样本模糊隶属度确定样本隶属某一类程度的模糊支持向量机分类算法,通过对比选取不同核函数和不同惩罚系数的结果.仿真实验结果表明应用模糊支持向量机进行英文情感分类具有较好的分类能力和较高的识别能力.     

基于模糊综合评判方法的土壤重金属污染度研究

本文应用模糊综合评判方法对城区的土壤污染情况进行评估,根据土壤重金属污染等级标准,确定隶属度函数的类型,并把土壤污染分为低污染、中等污染和高污染三个级别。按照隶属度最大的原则,确定各功能区样本点的污染级别,进而对各功能区的污染情况进行分析。     

基于相对熵的模糊评价群决策方法在工程质量风险控制中的应用

将层次分析及模糊评价方法应用于混凝土施工质量风险管理,针对群决策中决策者偏好信息不一致问题作了研究.首先建立决策者关于评价指标对评语集的隶属度矩阵,并将其转化为指标集的权重排序向量;然后提出一种相对熵的不确定群决策最优化集成模型;最后进行二级模糊集成,得到评价目标的质量风险评价.     

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.     

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.     

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.     

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     

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     

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.     

Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces

In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 ＜β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 ＜α≤ 1).     

Jacobi polynomials used to invert the laplace transform

Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated.     

Generalization of the interaction between Haar approximation and polynomial operators to higher order methods

In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f（u） of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation.