基于指标权重分配的群决策赋权方法研究

本文的主要工作是从指标层入手对群决策中的赋权方法进行研究。首先,根据多位专家给出的某一指标的多个权重,通过一致性检验确定该指标的合理取值区间;然后,以组合权重与通过一致性检验的专家权重之间的偏差最小为目标函数建立优化模型,求解组合权重;最后,通过算例验证了模型的有效性和可行性。本文的主要创新与特色有两点:一是从指标层面对专家权重的一致性进行检验,与根据专家的权重向量的一致性检验相比,更加灵活,且避免了对有效信息的删除和无效信息的放大;二是从指标层面确定指标的组合权重,解决了群决策中的组合赋权问题,改变了专家权重分配对组合权重的影响问题。     

也谈广义对角占优阵的特征值的分布

设A=(a_(ij))_(n×n)为n阶复矩阵,记 σ_i=sum from j=1,j≠i to n(|a_(ij)|,i=l,2,…,n)。若|a_(ij)|>σ_i(i=1,2,…n),则称A为(按行)严格对角占优阵,记为A∈D,若|a_(ii)|·|a_(jj)|>σ_iσ_j(i≠j,i,j=1,2,…,n)则称A为严格对角乘积占优阵,记为A∈D_p(在〔1〕中此类矩阵称为广义对角占优阵,并记为GD)。若存在非奇对角阵Q=diag(q_l,…,q_n)使Q~(-1)AQ∈D,则称A为准严格对角占优阵,记为A∈D′(见〔2〕)。若存在非奇对角阵Q=diag(q_1,…,q_n)使Q~(-1)AQ∈D_p,则称A为准严格对角乘积占优阵。记为A∈D′_p。     

基于基元方法的创造性模仿创新研究

论文立足于二次创新中的创造性模仿创新,分析了我国采用这种技术创新的必要性和可行性。以石油机械行业中的振动筛产品为例,运用可拓创新方法研究描述了整个创新过程,并借助可拓变换方法获得了新的创新产品。该方法的运用得到了满意的创新产品,提高了新兴技术的利用率,实证了可拓方法的科学性和有效性。     

A Sharp Inequality on the Exponentiation of Functions on the Sphere

In this paper we show a new inequality that generalizes to the unit sphere the Lebedev-Milin inequality of the exponentiation of functions on the unit circle. It may also be regarded as the counterpart on the sphere of the second inequality in the Szegö limit theorem on the Toeplitz determinants on the circle. On the other hand, this inequality is also a variant of several classical inequalities of Moser-Trudinger type on the sphere. The inequality incorporates the deviation of the center of mass from the origin into the optimal inequality of Aubin for functions with mass centered at the origin, and improves Onofri's inequality with the contribution of the shifting of the mass center explicitly expressed. © 2021 Wiley Periodicals LLC.     

A note on logarithmic transformations on the Hopf surface

In this note we study logarithmic transformations in the sense of differential topology on two fibers of the Hopf surface. It is known that such transformations are susceptible to yield exotic smooth structures on 4-manifolds. We will show here that this is not the case for the Hopf surface, all integer homology Hopf surfaces we obtain are diffeomorphic to the standard Hopf surface. To cite this article: R. Zentner, C. R. Acad. Sci. Paris, Ser. I 342 (2006).     

Mathematics on the threshold

Lowering the dropout rate of incoming mathematics and science students, and enhancing the provision of mathematics support for freshmen are two important aims of the University of Amsterdam. The approach recently adopted to support first year students is to set up a diagnostic pretest and posttest and use these tests to identify students being at risk of failing their mathematics courses and other modules in the first year. Follow-up procedures are implemented and computer algebra based assessment and practise of mathematics skills play an important role in it. In this paper we describe this approach and its success.     

New results on the conjecture of Rhodes and on the topological conjecture

The Conjecture of Rhodes, originally called the “type II conjecture” by Rhodes, gives an algorithm to compute the kernel of a finite semigroup. This conjecture has numerous important consequences and is one of the most attractive problems on finite semigroups. It was known that the conjecture of Rhodes is a consequence of another conjecture on the finite group topology for the free monoid. In this paper, we show that the topological conjecture and the conjecture of Rhodes are both equivalent to a third conjecture and we prove this third conjecture in a number of significant particular cases.     

Hume on the Self

In the Treatise Hume argues that a person is ??nothing but a bundle of perceptions??. But what precisely is the meaning of this bundle thesis of a person? In my paper, an attempt is made to articulate two plausible interpretations of this controversial view and to identify and evaluate a number of problems for this thesis that is central to Hume??s account of the self.     

关于微分多项式的唯一性

研究了涉及亚纯函数及其导数具有三个公共值的唯一性问题,得到的结果改进了Lahiri I.,张庆彩和仪洪勋等的有关定理,并有例子表明所得结果是精确的.     

保费收入率与索赔到达率均依赖于当前储备金的风险模型的破产问题

本文建立了保费收入率与索赔到达均依赖于当前盈余额的保险模型.将这一模型纳入逐段决定马尔可夫过程的框架,破产时刻就是这一逐段决定马尔可夫过程的端时.我们用鞅方法得到了保费收入率与索赔到达率均依赖于当前盈余额的风险模型的破产概率的确切表达式.     

对有界性的一个注解

本文研究了广义Lienard系统dx/dt=p(y)-F(x),dy/dt=-g(x)解的有界性,获得了该系统存在无界解的两个新的充分条件,并指出了一些文献中的错误.     

基于可拓创新方法的技术创新过程研究——以石油机械产品为例

立足于二次创新中的引进型创新,分析了我国采用这种技术创新的必要性和可行性,并通过调研,以石油机械产品的引进型创新过程为例,运用可拓创新方法研究描述了整个创新过程,借助可拓变换方法获得了创新方案.方法的运用不仅得到了满意的创新产品,还丰富了创新产品,提高了新兴技术的利用率,实证了可拓方法的科学性和有效性.     

Sets with the Pompeiu property on the plane and on the sphere

We obtain new sufficient conditions under which a set on the plane has the Pompeiu property. This result allows us to construct first examples of domains with the Pompeiu property with non-Lipschitz (and even fractal) boundary. In addition, we study the problem of determining the least radius of the ball on the sphere in which a given set is a Pompeiu set. We obtain the solution of this problem in the case of a biangle and a spherical half-disk. We also consider some applications to questions of complex analysis.     

Automorphisms on the Toeplitz Algebra with Piecewise Continuous Symbol on the Unit Ball

In this paper, we obtain a Fredholm index formula for Toeplitz operators whose symbols are certain piecewise continuous function matrices on the unit ball. Moreover, using this formula, we discuss the automorphisms on the corresponding Toeplitz algebra     

基于DEA-Malmquist方法的智慧旅游城市旅游业效率评价研究

旅游业是国民经济中战略性支柱产业,为分析智慧旅游城市中旅游业效率问题,基于DEA-Malmquist方法选取我国16个智慧旅游试点城市2011-2015年的旅游业面板数据,对智慧旅游城市旅游业效率进行静态和动态的实证分析.分析结果表明:综合技术效率在旅游业发展过程中表现不稳定,受规模效率和纯技术效率影响较大,综合效率和规模效率变化呈现出较大的一致性,肯定了政策规划的积极作用.总体全要素生产率和技术进步率呈现无效率,提出技术进步仍是智慧旅游城市旅游业发展的关键.     

基于遗传算法的上市公司财务危机预测模型研究

本文以我国沪深A股上市公司为研究对象,选取制造业公司376家,其中被特别处理的ST公司188家,与其配对的健康公司188家,使用遗传算法和21个财务比率建立了财务危机预测模型,并与Logistic回归和BP神经网络模型进行了比较,结果表明,使用遗传算法可以获得不受统计约束且预测准确率更高的模型。     

基于城乡物流一体化的连锁经营配送网络优化研究

基于城乡物流一体化的目标设定和相应基础设施平台的支持,提出连锁经营配送网络的建设模式,依据对当前连锁经营网络发展的重点工作的分析,建立了关于配送中心和农产品收购中心选择的网络优化模型.并引入算例说明模型的可行性和适用性.     

Some Remarks on the Restriction Theorems for the Maximal Operators on Rd

The aim of this paper is to give a simple proof of the restriction theorem for the maximal operators on the d-dimensional Euclidean space Rd, whose theorem was proved by Carro-Rodriguez in 2012.Moreover, we shall give some remarks of the restriction theorem for the linear and the multilinear operators by Carro-Rodriguez and Rodriguez, too.     

A note on the extension of the null-additive set function on the algebra of subsets

In this work, we point out that the proof of Theorem 2 in [E. Pap, Extension of null-additive set functions on algebra of subsets, Novi Sad J. Math. 31 (2) (2001) 9–13] is incorrect and give a correct proof. Moreover, we also get a corresponding theorem on extension of the weakly null-additive set function.     

Minimal functions on the random graph

We show that there is a system of 14 non-trivial finitary functions on the random graph with the following properties: Any non-trivial function on the random graph generates one of the functions of this system by means of composition with automorphisms and by topological closure, and the system is minimal in the sense that no subset of the system has the same property. The theorem is obtained by proving a Ramsey-type theorem for colorings of tuples in finite powers of the random graph, and by applying this to find regular patterns in the behavior of any function on the random graph. As model-theoretic corollaries of our methods we rederive a theorem of Simon Thomas classifying the first-order closed reducts of the random graph, and prove some refinements of this theorem; also, we obtain a classification of the maximal reducts closed under primitive positive definitions, and prove that all reducts of the random graph are model-complete.