供应链物流合作伙伴选择的多层次灰色评价方法

为了获得高效的供应链体系，物流业务外包已成为制造企业增加竞争力最重要和最有效的战略手段之一。本文研究了物流外包中的物流合作伙伴选择问题。基于制造商与物流供应商长期合作的伙伴关系，从成本、服务质量、合作稳定性以及综合实力四个方面设计了物流合作伙伴评价指标体系。针对主观的评价指标体系，建立了灰色评价与层次分析法相结合的多层次灰色评价模型，并进行了算例研究。     

电子商务环境下基于Multi-Agent的B2B信任评价模型研究

电子商务的发展为企业的合作提供了机遇,同时也带来了诸多挑战。企业在合作过程中表现出了许多问题,例如信任的缺失,缺乏可以合理全面测量企业信任度的方法等。本文运用Multi-agent技术,建立了结合企业基本信息的声誉评价Agent和结合特定交易信息的单次交易评价Agent的信任评价指标体系,并在此基础上构建了基于Multi-agent的B2B信任评价模型,最后进行了仿真实验。论文的研究对于企业在电子商务环境下选择合适的合作伙伴,解决合作中的信任问题,适应电子商务发展的需要具有一定的意义。     

企业信息资源配置的模糊综合评价

建立了综合评价企业信息资源配置水平的指标体系，采用层次分析法确定指标体系的权重，使用模糊评价方法评价企业的信息资源配置水平，并结合实例作了说明。     

竞争态势下的企业技术创新能力评价

企业技术创新能力的评价问题，具有指标量大，同时又具有模糊性的特点。本针对企业技术创新能力评价中存在的问题，构建企业技术创新能力评价的系统指标体系，应用模糊数学中的综合判断方法。对企业技术创新能力进行定量和综合的判断。     

企业竞争力综合评价物元模型与可拓评价方法

本用可拓学的思想方法建立了企业竞争力综合评价物元模型，给出了基于关联函数的可拓评价方法，对企业竞争力的定性，定量综合评价方法进行了创新性研究。     

模糊多级综合评价方法在企业资源评估中的应用

根据系统评价的原理，提出了企业资源系统评价的指标体系结构模型。应用模糊多级综合评价方法对其进行评价，通过实例说明这种方法在实际应用中是有效和可行的。     

模糊多级评价在知识管理水平评估中的应用

21世纪是知识经济时代，知识管理是知识经济时代企业崭新的管理模式。准确地认识企业的现有知识管理水平，才能为改善企业的知识管理状况提供充分的依据。本针对知识管理水平评价的定量方法不足，引入模糊多级综合评价，并用实例说明了该方法用于企业知识管理水平评价是可行的、实用的，从而为企业知识管理水平的定量评价提供了一种新方法。     

高科技企业健康度评价研究

高科技企业的生存和健康发展越来越受到各级政府的广泛关注。章以模糊数学和层次分析理论为指导构建了高科技企业健康度评价的指标体系和评价模型，评价过程不仅考虑了影响健康度的所有因素，而且保留了各级评价的全部信息。实例采用典型的高科技企业指标数据，评价结果直观地反映了高科技企业的实际情况。     

基于偏好和动态直觉的产学研合作伙伴选择群决策分析

针对产学研合作伙伴选择的有限理性和偏好特性,基于直觉模糊多属性决策理论和相对熵理论,构建产学研合作伙伴选择群决策模型。运用动态直觉模糊加权几何算子(DIFWG)集成合作伙伴不同时段的个人准则决策矩阵,实现对产学研合作伙伴持续性的评价;运用直觉模糊有序加权平均算子(IFOWA)集成不同决策者的决策矩阵和偏好矩阵,并利用决策者对合作伙伴的主观偏好与对合作伙伴各准则的客观评价之间差距的极小化,基于加权平均思想,求取评价准则的客观权重;然后,引入相对熵求取评价对象理想的最优权重解,依据该解对各合作伙伴进行排序并选择;最终通过实证研究说明了该方法的有效性和可行性,充分利用直觉模糊理论,实现了产学研合作伙伴的“群偏好—多时段—群决策”的全面评价。     

基于AHP方法的共青团青年自组织合作伙伴选择机制

构建共青团与青年自组织之间的社会合作网络,是北京市"枢纽型"社会组织建设工作体系的核心工作;而共青团选择什么样的合作伙伴,及采用什么样的选择方法,则是构建社会合作网络的首要问题.针对共青团合作伙伴选择问题,首先构建了一套实用的评价指标体系,建立了一个基于AHP方法的多层次评价模型,并给出了相应的计算方法.仿真实验表明,所构造的指标体系和评价模型是切实可行的,对北京共青团"枢纽型"社会组织建设在理论上和实践上均具有一定的指导意义.     

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 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.     

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).     

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.     

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].