基于相对熵和可变模糊集理论的战略性新兴产业企业信用评价

针对现有模糊评价方法缺乏动态可变性的不足,将可变模糊集理论引入到战略性新兴产业企业信用评价中;同时,考虑到主观赋权法与客观赋权法各有优缺点,采用基于相对熵的组合赋权法确定指标权重,从而构建了基于相对熵和可变模糊集理论的战略性新兴产业企业信用评价模型.模型克服了现有模糊评价方法的不足,较好的兼顾了赋权的主观偏好和客观信息,提高了信用评价结果的可信度、可靠性与稳健性.以20家战略性新兴产业上市公司为样本,实证分析结果说明了模型的可行性和适用性.     

基于离差最大化-灰色关联分析的商业银行竞争力评价研究

从安全性、盈利性、流动性、成长性四个方面构建了商业银行竞争力评价指标体系;用离差最大化方法确定指标权重,反映了指标数据本身的离散程度和动态变化,避免了人为赋权的主观随意性;用灰色关联分析确定评价得分,避免了对样本数量和数据分布的限制.通过离差最大化灰色关联分析模型并结合Ward聚类对中国14个上市商业银行的竞争力评价进行了实证研究,实证结果揭示了不同商业银行竞争力的显著差异和各银行的竞争优势与制约因素.     

基于可拓方法我国银行体系脆弱性的评价

在银行体系脆弱性评价中借助物元的概念,建立了银行体系脆弱性评价模型,并采用较为客观的评价方法——可拓方法对该模型进行评价,介绍了一种新的银行体系脆弱性评价方法.消除了其它主观评价方法带来的偏差,从而为我国银行体系脆弱性的监管决策提供有益参考.     

基于功效函数法的储能砂浆相变材料用量优化

利用石蜡和膨胀珍珠岩制备相变材料,通过对比试验研究相变材料的掺量对储能砂浆稳定性,热工性能和强度的影响.在此基础上,建立储能砂浆性能评价指标体系,采用主观赋权和客观赋权相结合的方法,确定各指标权重,利用功效函数法优化出相变材料在储能砂浆中的掺量,具有推广应用价值.     

基于因子分析的中国寿险公司经营效率综合评价

利用财务指标法评价寿险公司绩效的一个重要特点就是主观赋权,而主观赋权一方面会导致对某个或某些因素过高或过低的估计,使评价结果不能如实反映寿险公司的真实情况,另一方面会诱使寿险公司粉饰或追求权重较高的指标.利用因子分析法,以2007年在我国境内开展业务的34家寿险公司作为样本,选择17个指标构建截面数据体系,对样本公司的风险水平和经营绩效进行评价.结果表明,老牌中资寿险公司保持着强大的综合实力,仍然是我中国人寿险市场的主导;外资寿险公司逐步加大规模扩张,资产管理能力不容轻视.     

基于组合赋权灰色关联模型的职业技术类高校教师绩效评价

针对职业技术类高校教学特点,构建合理突出优势的教师绩效评价体系.首先结合职业技术类高校的人才培养基本要求,从师德师风、人才培养、科学研究、社会服务四个方面构建指标.采用专家打分法确定四方面的权重,再根据熵权法与变异系数法两种客观赋权法对细化的评价指标进行求权处理,并将主观赋权与客观赋权法相结合确定最终指标权重.本文对八位教师进行评价,符合灰色少数据贫信息的特征,利用灰色关联模型,构建组合赋权法灰色关联职业技术类高校教师绩效评价模型,既保证了评价体系的客观公平性也凸显了科学合理性.最终对江苏旅游职业学院的教师绩效水平进行评价,得出结论并分析原因.     

基于矩阵距离时序赋权的科学技术评价模型及应用

根据“坚持以人为本,树立全面、协调、可持续的发展观,促进经济社会和人的全面发展”的科学发展观内涵,构建了省级行政区的科学技术评价指标体系。通过在Topsis中引入矩阵距离对截面评价结果进行二次赋权,建立了基于矩阵距离时序赋权的科学技术评价模型。本文的特色与创新一是通过在Topsis中引入矩阵距离、对不同年份的综合评价结果进行客观赋权,反映了评价指标与理想状态偏离程度越小的年份、其综合评价结果赋权越大的思路。改变了现有研究人为主观确定不同时段评价结果权重的现状;改变了Topsis仅仅用于求解指标权重,无法对不同年份的综合评价结果进行赋权的现状。二是采用面板数据对典型省份的科技发展进行评价,反映评价对象历史信息对评价结果的影响。消除了流行的截面数据评价的偶然性。三是实证研究表明:山西、新疆、云南三省的科学技术发展落后的主要原因在于其三省万元GDP综合能耗过高、工业固体废物综合利用率过低。     

基于较优方案最大区别度的组合权重赋值法

现有多方案决策中的指标权重计算方法可能产生评价结果中较优方案不突出的难题,进而提出了一种新的方法——基于较优方案最大区别度的组合权重赋值法.方法可根据方案间区别度最大的原则将主观赋权法和客观赋权法中所确定的指标权重进行集结,综合考量待评方案,并建立多方案决策结果最大化和决策结果间方差最大化非线性优化模型,采用理想点法对具体的多目标规划问题进行求解.方法的运用有利于扩大备选方案之间的差距,进而突出较优方案,最后通过实例说明了该方法的优越性.     

基于密切值法的组合赋权多属性决策方法研究

分析主观赋权、客观赋权方法在实际应用中的不足,运用密切值法原理,对多属性决策问题的权重确定采用主观赋权法与客观赋权法相结合的组合赋权思路,完善多属性决策问题的决策方法,并举例说明其合理性.     

基于不均衡数据的小企业信用风险评价

小企业信用风险评价既是银行风险管理问题,又事关经济社会稳定。针对小企业贷款实践中,违约样本远少于非违约样本、且违约客户误判对银行影响较大的现实,采用不均衡支持向量机对小企业信用风险评价指标进行赋权,进而构建了能有效区分违约客户、非违约客户的评价模型。根据有无特定评价指标、特定评价指标数值变化对贷款小企业违约状态的影响程度赋权;反映了对违约状态影响越大、评价指标权重越大的赋权思路。将违约样本正确识别率、违约样本的准确率与查全率等因素作为支持向量机赋权模型中客户识别率的度量标准,改变了样本数据不均衡所导致的样本总体精度很高、违约样本精度反而不高的现象。研究结果表明:行业景气指数、资本固定化比率、净利润现金含量、恩格尔系数、营业利润率等评价指标对小企业信用风险的影响较大。     

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.     

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.     

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.     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].     

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.