地方高校图书馆图书供应商优选综合评价研究

地方高校图书馆在资源建设上投入资金有限,在图书资源采购中依赖于政府的招标采购模式,对于图书供应商的选择是实现资源优化配置的重要因素.通过分析图书供应商选择过程的的各个要素,建立图书供应商的综合评价指标体系,采用改进熵和灰关联分析相结合的决策方法构建评价模型,对图书供应商的12项指标进行综合分析,根据相对贴近度的大小对各图书供应商进行优选排序.评价模型为地方高校图书馆在图书供应商的选择方面提供了重要的理论依据.     

基于灰靶理论的工程项目投标决策

针对承包商投标决策问题,结合建设工程项目特点,提出工程项目投标决策灰靶分析与评价方法.首先,分析投标决策中可能存在的影响因素,从环境条件、工程条件、业主条件、市场竞争条件、自身条件等5个方面建立投标决策指标体系;其次,综合考虑投标决策的不确定性和复杂性,构建工程项目投标灰靶决策模型,提出一种在没有最优项目情况下的投标决策算法;最后,通过工程实例分析,验证了该方法的可行性与有效性.研究结果表明:投标灰靶决策模型能够辨证考虑投标决策中的确定和不确定因素,评价结果较客观地反映各拟投标项目优劣水平,为投标项目评审提供了一个新思路.     

基于直觉模糊AWD方法的供应商选择

供应商选择是供应链管理的关键环节之一.运用直觉模糊精确加权(AWD)和复杂比例评价(COPRAS)方法对供应商选择模型进行了研究,构建了基于直觉模糊精确加权的供应商选择的COPRAS模型.模型将供应商评价值的语言变量转化为直觉模糊数,运用直觉模糊的精确加权方法分别确定各个评价指标的精确权重和同一指标下各个供应商的精确权重,极大地提高了指标权重确定的科学性,然后结合COPRAS方法选择供应商.最后将构建的供应商选择模型在实例中进行了应用,并结合各供应商效用度得出了各个供应商的优先顺序,获得了最佳供应商选择方案,验证了所提出方法的可行性和有效性.     

基于IGN与GRAP-TOPSIS的预制构件供应商优选

大力发展装配式建筑是我国建筑业应对转型升级挑战的关键举措,选好预制构件供应商则可为装配式建筑的高质量发展提供源头保障.利用Citespace词频分析、BWM赋权法、基于区间灰数(IGN)和核与灰度分解的GRAP-TOPSIS法构建出包含评价指标体系和评价方法的预制构件供应商优选模型,该模型兼顾了普适性和个案适配性并弥补了预制构件供应商优选决策中的信息不对称.最后,通过算例分析证明了该模型的可操作性和有效性.     

基于灰关联综合评估的水利枢纽工程坝型优选

综合考虑影响坝型选择的众多因素 ,建立了分三层五个子系统的坝型优选模型 ,运用灰关联综合评估对模型进行求解 ,解决了水利枢纽工程坝型优化选择问题 .对于模型中定性影响因素定量化的问题 ,采用了集值统计法处理 .最后利用模型进行了实例分析决策 .     

基于ANP-RBF神经网络的化工行业绿色供应商选择

基于绿色供应链理念,提出了化工行业绿色供应商选择的特色指标,构建了化工行业绿色供应商选择的ANP-RBF神经网络模型。通过ANP确定各指标权重,再结合RBF神经网络,从训练数据中提取隐含的知识和规律,能够方便地用于新供应商的选择。该模型求解算法为增量算法,具有很好的可扩展性,从而增加了评价的动态性。算例验证结果表明,将ANP-RBF神经网络模型用于化工行业绿色供应商的选择具有较强的实用性。     

部分权重信息下的区间数多指标灰靶决策模型

针对决策信息为区间数且部分权重信息已知的多指标决策问题,对现有的灰靶决策模型进行了拓展研究。首先建立了区间数灰靶和靶心距,并基于所有方案综合属性值最大化的准则,对各方案进行局部优化,然后采用两阶段法求出最佳协调向量,根据归一化的组合权向量计算各方案的综合属性值,并据此进行排序与决策。最后以实例验证了新模型的有效性与实用性。     

基于灰关联熵的多指标灰靶决策方法

针对方案指标值为三参数区间灰数的多指标决策问题,提出一种基于灰关联熵的多指标灰靶决策方法.首先定义了各方案的正靶心及正靶心距;其次,构建所有方案的相对关联度系数,继而形成灰关联系数矩阵,再利用熵理论求解目标权重.应用实例说明了提出的决策方法的合理性和有效性.     

基于改进TOPSIS法的供应商选择方法

本文在确定供应商选择的指标体系的基础上，以各指标作为评价的目标，建立评价供应商的改进TOPSIS法，求解各指标对应的客观权重，然后利用权重计算各供应商与理想解的距离，根据各供应商与理想解的距离大小确定优劣排序，实现主观信息与客观信息相结合的合理评价，最后结合案例分析证明了评价体系和评价方法的有效性。     

基于概率语言贴近熵的水电工程项目环境影响评价研究

针对水电工程项目环境影响因素决策矩阵中每个元素由不同的语言术语和相对应的概率信息来描述的情形,提出将概率语言决策矩阵标准化的一种新方法;结合微积分知识和熵测度理论,定义了两个区间数的贴近度公式;由于AHP忽略了评价指标相互之间可能存在的关联性,采用ANP确定每个属性指标的权重.提出了区间概率语言决策信息的负向投影方法.最后,对符合条件的三个水电工程项目A_1、A_2和A_3的14个评价指标进行综合评价,得出项目A_3为最佳建设方案,综合14个指标认为其对环境造成的危害最小.提出的负向投影方法能够有效地克服EDAS,TOPSIS,QUALIFLEX评价方法存在的弊端,适用范围更加的广泛.     

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.     

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].