区域科技创新能力的灰色关联综合评价研究

采用灰色关联度确定权重的多目标决策方法,根据科技创新能力相关的数据指标集,对我国八大经济区科技创新能力给予了综合评价和排序.这种定量确定权重的方法,为综合评价区域的创新能力提供了一种更为实用、简洁、可操作性的新方法.     

灰色聚类关联分析法的改进及其应用

引入平滑的指数函数对灰色聚类关联分析法中的白化函数进行改进,使其能够充分、合理地利用已知信息,对样本进行更客观、准确地评价.本文以郑州地区6县市的大气监测数据为例,应用改进的灰色聚类关联分析法对其大气质量进行评价,通过构造新的白化函数和计算各测点不同级别的隶属度和关联度,可判断出各县市环境质量的优劣次序为:中牟>新密>登封>新郑>荥阳>巩义,所得结果与各县市大气环境质量实际状况相符合,由此说明改进的灰色聚类关联分析法为大气环境质量的评价提供了更可靠的方法.     

基于11种灰色关联度法的卫生指标序列应用比较分析

以序列灰色关联分析方法应用为视角,简述多种关联度方法基本流程;借助算例验证分析,为类似问题研究提供技术参考.分别阐述11种灰色关联度法原理及步骤,以医疗卫生指标时间序列为例计算实现.简要给出所有方法实施步骤,方法原理及信息利用有差异.序列间关联度结果与实际问题演示情形一致.11种灰色关联度法有集成讨论意义,有待于卫生领域综合对比及科学选用,也可以为因素筛选、综合评价、时序分析和聚类优化等应用问题提供借鉴.     

基于最大灰色关联度的聚类方法分析

利用多元统计学的最短距离法原理,定义了不同类别之间的关联度,构造了一种基于最大灰色关联度的聚类方法,建立了最大灰色关联度模型,并对模型进行求解,结果表明,新的聚类方法纠正了已有的灰色关联聚类中聚类原则存在的缺陷,从而为聚类提供了更有说服力且易于计算的方法.最后通过实例验证了该方法的客观性和有效性.     

灰色聚类分析法在评价材料合理代用的应用

对于价格高昂或者市场紧缺的材料,使用灰色聚类分析法,能够找到合理的代用品,避免了凭经验选择代用材料所带来的主观片面性.介绍了灰色聚类分析法的基本原理、分析步骤及其在产品选择代用方面的应用实例.结果表明,采用灰色聚类分析方法解决材料的代用问题是一种行之有效的方法,应用该方法能够综合考虑影响性能的多种因素,避免了单因素的主观性,评价过程更加合理客观,评价结果能准确的反映代用品的性能.     

灰色模糊聚类理论在飞机方案优选中的应用研究

将灰色系统理论应用到飞机设计方案评价中,研究了一种含有方案评价指标体系和考虑评价指标权重以及灰关联分析的飞机方案优选灰色模糊聚类决策理论,这种决策理论利用指标权重将评价指标联系在一起,在评价方案与理想方案灰关联度的基础上进行灰色模糊聚类,实现方案优选.最后以一个短距/垂直起降(V/STOL)飞机设计实例证实此方法的科学性与可行性.     

基于聚类与灰色关联分析模型的机场群协同发展评价

随着我国经济社会的发展,为了适应发展上的新要求区域协同发展成为主要趋势.交·通协同发展是区域协同发展中的先行者,机场群的建设对于区域交通协同有着重要意义.提出了机场群协同发展评价的模型,首先利用相关系数法对机场群内的机场进行模糊聚类,选择合适分类数;然后将每一个分类作为一个系统,加入对系统影响程度大的评价指标构成系统指标序列;最后基于灰色关联分析模型计算综合关联度与系统间的协同度.还以京津冀地区为例进行实例分析,评价目前机场群协同发展是否能有效疏解北京非首都职能.     

基于范数灰关联度赋权的模糊综合水质评价研究

在模糊综合评价方法的基础上,提出范数灰关联度的概念.通过范数的近距和远距,获取各因子的关联度和权重系数,充分利用了样本的共性和个性信息.利用灰关联度赋权的模糊综合评价法对延安市境内延河流域上的8个监测断面进行水质评价,取得了较好的结果,并与熵权模糊综合评价法、灰色关联分析法进行比较,结果更加客观、合理.     

基于相对熵赋权和灰色理论的高校教师创新能力综合评价

提高高校教师的创新能力,对于践行科学发展观、增强高校市场竞争力,乃至推动国民经济的进步都具有重要意义.以高校教师创新能力综合评价为出发点,通过构建高校教师创新能力评价指标体系,建立基于层次分析法和灰色关联分析法的多指标综合评估模型,并通过案例介绍了模型的具体应用.     

基于灰色投影面积关联度的面板数据聚类方法及应用

为拓展灰色关联分析在面板数据中的应用,针对面板数据的三维特征,将面板数据转化为空间网格.然后基于二维灰色投影关联度,利用空间网格在时间和对象平面上的投影面积,定义了三维灰色投影面积关联度模型.为了解决因为维度不同而导致的关联度差异过大问题,引入灰色聚类检验模型,给出了三维灰色投影面积关联度的面板聚类步骤.最后通过对珠三角四市的空气质量问题的聚类分析,结果表明各类别的差异明显,层次划分清楚,证实了该方法的有效性和实用性.     

Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model

One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the＇living world. In his seminal paper ＂The Chemical Basis of Morphogenesis＂, Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates（1990） on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing＇s prediction. Lengyel and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows     

(0,1 ;0)-INTERPOLATION ON INFINITE INTERVAL (-∞, +∞)

In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤ 3n - 2 when the function values are prescribed at two set of points namely the zeros of Hn(x) and H′n(x) and the first derivatives at the zeros of H′n(x).     

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.     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

Journal of the Operations Research Society of China Special issue on Operations Research in Healthcare Management

正Guest Editors:Hong Chen,Shanghai Jiao Tong University,Shanghai,China Guohua Wan,Shanghai Jiao Tong University,Shanghai,China David Yao,Columbia University,New York,USA Scope:Healthcare delivery worldwide has been fraught with high cost,low efficiency and poor quality of patient care service.For the field of operations research(OR),healthcare offers some of the biggest challenges as well as best opportunities in     

ANALYSIS IN THEORY AND APPLICATIONS Vol. 30, 2014 CONTENTS

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An alternative mathematical algorithm for the photo- and videokeratoscope

Due to the resolution of current laser technology, the accuracy of corneal topography as measured by the videokeratoscope is no longer adequate to provide precise enough data for refractive surgery or for the fitting of customized contact lenses. We present an algorithm for recovering corneal topography that makes use of modern differential geometric techniques and numerical descent in Sobolev spaces. We believe this algorithm may be used with the photo- and videokeratoscope to increase the accuracy of the recovered corneal topography.