基于熵权法的区间数多指标决策方法及应用

以区间数的距离及规范化理论为基础探讨了属性值为区间数的多指标决策问题.分别构建了基于熵权法的区间数TOPSIS评价模型、基于熵权法的区间数灰色关联评价模型,基于熵权法的区间数TOPSIS—灰色关联组合评价模型.通过实例分析表明了,三种模型的算法的有效性及评价结果的合理性.进一步比较三种评价结果,说明了基于区间数的TOPSIS—灰色关联组合评价模型对方案的排序更具稳定性和实用性.     

基于熵权TOPSIS-PSO-ELM的制造企业绿色创新能力评价模型及实证研究

为客观和准确地评价制造企业绿色创新能力,本文构建了制造企业绿色创新能力评价指标体系,提出了基于熵权TOPSIS的粒子群(PSO)优化极限学习机(ELM)集成学习算法的制造企业绿色创新能力评价模型。首先运用熵权法客观确定指标权重,结合TOPSIS测度并综合评价制造企业绿色创新能力,然后将评价值作为先验样本进行极限学习机的训练与测试,训练过程中利用PSO优化极限学习机的网络结构与连接权值,从而对绿色创新能力进行全面的分析和评价。最后以60家制造企业为例进行实证分析,并将熵权TOPSIS-PSO-ELM算法与极限学习机回归拟合算法对比,结果表明:基于熵权TOPSIS-PSO-ELM模型所得评价结果较已有方法更为准确可靠。此外,为进一步提高我国制造企业绿色创新发展能力提出了理论建议。     

基于粗集和熵权-TOPSIS法的高新技术企业自主创新能力评价

科学评价高新技术企业自主创新能力,可加快推进高新技术企业成为自主创新主体.运用粗糙集属性约简区分矩阵算法对高新技术企业自主创新能力评价指标进行约简,通过熵权法客观确定指标权重,采用TOPSIS法进行综合评价.以某市高新技术企业为具体实例,得出按企业登记注册类型分的各类高新技术企业自主创新能力排序,证明了该评价方法的可行性和有效性.     

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.     

基于直觉模糊集和TOPSIS法的MTO企业中订单重要性评价与选择研究

如何使MTO企业更有效地进行订单的评价和优选.针对MTO企业对订单重要性判定问题,建立了基于直觉模糊集和TOPSIS法的订单重要性综合评价模型.首先构建订单重要性评价指标体系,然后使用熵权法确定评价指标的权重,最后用直觉模糊集和TOPSIS的方法对订单重要性进行评价和选择.通过算例分析的应用验证了方法用于研究订单重要性优选的可行性.基于直觉模糊集和TOPSIS算法实现了订单重要性的评价与选择,以便于企业对订单进行评价和优选,同时为库存管理提供科学依据.     

基于熵权TOPSIS-CNN深度学习的企业财务绩效评价研究

基于评价基础上对企业财务绩效进行聚类和预测研究,有效发现企业运营存在的问题并提供改进依据.运用熵权TOPSIS法结合深度学习的方法,在相关文献回顾的基础上,整理并选取了1290家上市公司2020年报的20个财务指标作为分析样本.使用熵权TOPSIS法对实验样本进行打分并使用K均值聚类的方法划分等级以评判其绩效的优劣,再结合卷积神经网络的框架实现企业绩效的预测与智能分级.研究结果表明,熵权TOPSIS法与CNN方法的结合对于企业绩效的画像具有较好的效果,模型测试的预测准确率可达92.25%.基于熵权TOPSIS财务绩效测度基础上,通过无监督学习的K均值聚类和CNN的融合,不仅能够实现绩效测评、确定绩效等级,还能够进行绩效等级的预测.因此,模型可以应用于企业绩效的智能测度评判和预测,对于企业经营及宏观微观调控具有良好的借鉴意义.     

军民融合视角下中国船舶工业上市公司创新能力评价

军民融合发展国家战略赋予了船舶工业新的历史使命,也对船舶工业企业创新能力建设提出了新的要求。为科学评价军民融合背景下的船舶工业企业创新能力,本文构建了船舶工业企业创新能力评价指标体系,采用熵权TOPSIS法对我国19家船舶工业上市公司进行实证分析,并提出了军民融合视角下船舶工业企业创新能力提升的管理启示。     

基于熵权多目标决策的方案评估方法研究

给出了一种基于熵权多目标决策的方案评估方法.该方法在只有判断矩阵而没有专家权重的情况下,对有多个评价指标的方案评估问题,通过多对象关于多指标的评价矩阵的熵权计算,对多个合理方案进行优选评估,得出了可信度较高的优选方案,并将这一方法应用在航空装备维修费效益评价实例中.     

基于熵权TOSPSIS理论的银行经营绩效综合评价

本文将熵权法与TOPSIS方法结合使用,构建银行经营绩效综合评价指标体系.     

基于组合评价的长三角城市基础设施投资绩效研究

城市基础设施投资绩效的合理评价是进行科学投资决策的重要依据。为了对长三角25个城市基础设施投资绩效进行客观、合理的评价,建立了基础设施投资绩效评价指标体系,选取2009年截面数据采用组合评价法进行综合评价。该方法首先使用超效率DEA、熵权TOPSIS、因子分析三种方法得出各自结果下的排名,在验证了各评价方法具有一致性的前提下采用模糊Borda综合评价法得出各城市的最终排名。组合评价方法弥补了单一方法的不足,有助于得到更客观合理的评价结果,为有关城市和部门把握基础设施投资绩效和未来决策提供参考。     

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     

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.     

(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).     

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].