基于组合权重法的建筑施工企业应急能力可拓评价研究

针对建筑施工企业应急能力评价缺少指导性方法的现状,采用可拓物元模型对施工企业应急能力进行评价.针对应急管理过程中的时间节点特征,使用层次分析法进行施工企业应急能力评价指标体系建构,通过三角模糊数与熵值法结合的组合权重法确定各指标权重系数,采用可拓物元模型进行施工企业应急能力评价,在此基础上以某施工企业进行实例验证,确定该施工企业应急能力等级.     

基于熵权TOPSIS的领导者情绪胜任水平评价模型及实证研究

通过相关文献分析,针对领导者在组织应对环境变化及发展壮大中的重要作用,尤其是领导者情绪胜任特征对于组织及其成员获得优异效能影响的实际,分析并确定了领导者情绪胜任水平评价指标体系,用客观赋权的熵权法确定指标权重,结合TOPSIS法建立了基于熵权TOPSIS法的领导者情绪胜任水平评价模型,并借助模型对某省厅处级领导干部的情绪胜任水平进行了实证分析,分析结果验证了模型的有效性,同时还开拓了领导者考评的新模式,即基于熵权TOPSIS法的领导者情绪胜任水平评价不仅可全面掌握被评价对象的全方位、多层次的情绪胜任情况,还可了解被评对象的发展潜能,既有利于科学选拔领导者,又有助于合理培训领导者.     

基于熵权物元的输变电工程安全评价模型及应用

针对输变电施工过程中的复杂性和多变性,在输变电工程安全性评价中引入了熵权法与物元可拓模型相结合的评价方法.根据输变电工程特征及实际施工情况,建立了输变电工程安全评价的指标体系,采用改进的熵权法计算各指标权重以避免出现熵值无意义的情况,并运用物元分析法处理评价模型中的模糊性.最后以某输变电工程为实例进行计算分析,验证了所建模型的正确性、可行性和实用性.     

基于物元模型的黄河流域水质评价

基于2016年全年中国环保部水质监测数据和地表水环境质量标准,运用物元分析理论,构建黄河流域水环境质量评价的物元模型.对评价标准和水质指标监测值进行归一化处理后,得到模型的经典域,节域,权重系数及关联度.并将评价结果与基于熵权法赋权的模糊综合评价法进行比较,其结果基本一致.结果表明,黄河流域整体水质情况较好,符合黄河流域实际情况.物元模型用于水质评价是合理可行的,且能对各监测断面水质评价结果进行排序,能较全面分析判别评价对象属于某一级别的程度.     

创新生态系统视角下跨境电商平台评价研究

基于创新生态系统视角,从平台系统管理、供应链生态、客户管理、创新生态发展潜力四个维度构建跨境电商平台综合评价指标体系,以熵值法计算指标权重,TOPSIS模型对各指标进行评价,通过对跨境电商平台进行综合评价分析,进而验证模型构建的合理性和有效性.研究发现:1)在创新生态系统视角下供应链生态是影响跨境电商平台发展的重要因素...     

基于熵权-Vague集赋权可拓模型的地铁车站施工安全性评价研究

地铁施工风险因素具有多样性和复杂性,为准确评价风险因素对地铁车站施工安全性的影响,从施工环境、施工人员及管理、施工机械设备以及施工技术四个维度确定风险指标,建立施工安全性评价指标体系,综合采用熵权法和Vague集理论,对评价指标进行权重计算,并且结合物元可拓模型对地铁车站施工安全性进行评价.最后通过实例应用表明:该模型适用于地铁车站施工安全性评价,具有良好的针对性、客观性和可操作性.     

基于云物元模型的城市道路级配评价研究

路网级配评价是充分发挥路网整体性效率,有效缓解城市的交通拥堵问题的前提.尝试通过将云模型和物元模型融合,构建云物元模型,对城市道路级配进行等级评价.其中城市道路级配评价指标体系基于基础设施、路网性能、服务性、便捷性四个指标,并采用主观专家打分法和客观熵权法结合的方式确定指标权重,使得赋权结果更具有客观性.为验证模型的合理性,以济南市为例,对其进行道路级配评定.结果显示,济南城市路网级配为"Ⅲ等级",基本满足人们的出行,与现实基本相符.     

基于综合权重的理想模糊物元多属性决策法及应用

研究了属性指标具有不相容性和模糊性及其指标的权重完全未知的模糊多属性决策问题.分析了目前广泛采用的模糊物元分析法以及仅有主观赋权法或客观赋权法确定其指标权重的缺点.根据物元可拓理论和理想解法的思想,定义了理想模糊物元和负理想模糊物元的概念.利用兼顾主观偏好和客观信息的综合权重赋值法,提出了基于综合权重的理想模糊物元多属性决策方法.该法既能充分利用指标本身所包含的客观信息,又能充分发挥决策者的主观能动性.实例研究结果表明该法能反映出决策方案间的细微差别,能对决策方案的优劣做出更准确有效的评价.     

关于科研事业单位知识型团队绩效评价的实证分析——基于胜任力模型

我国科研事业单位普遍面临绩效考核困境,不能满足知识经济背景下知识型团队的管理要求。胜任力模型可以有效地对知识型团队成员进行选拔、配置与管理,是团队取得高绩效的关键。本研究采用问卷调查结合行为事件访谈的方法,筛选科研事业单位知识型团队的胜任力特征,并采用主成分分析方法,从7个维度构建了知识型团队胜任力模型。在此基础上,采用层次分析法,对团队业绩、胜任力、行为指标进行两两比较,确认其相对重要性,进一步构建了绩效评价体系。结果发现,在科研事业单位知识型团队中,成员个人能力的提升、团队信息共享和效率以及团队管理者的能力是最重要的团队胜任力特征,而外部支持和人际关系相对次要。胜任力指标在绩效评价体系中占有重要的地位。而团队行为对团队绩效的影响也不可忽视。     

基于粗集和熵值的卷烟消费市场潜力评价

运用粗糙集属性约简算法对初始因素指标进行约简,运用熵值法确定指标权重并建立综合评价模型,对贵州省各地区卷烟消费市场潜力进行综合评价,得出各地区消费潜力排序.应用实例表明两种方法结合使用将有效提高评价质量.     

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.     

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].